the board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?

Answers

Answer 1

Answer of the following questions for given mean and standard deviation along with sample size are:

a. Null hypothesis , H₀: μ = 4.00

   Alternative hypothesis, H₁ : μ > 4.00

b. Value of test statistic is 1.647

c. Conclusion is no evidence to conclude mean wait time for customer is longer than 4.00 minutes.

As given in the question,

Wait time for customer is at most 4.00 minutes

a. Null hypothesis is given by

H₀: μ = 4.00

Mean time is not exceeding the requirement

Alternative hypothesis is given by:

H₁ : μ > 4.00

b. Value of test statistic is given by :

([tex]\bar{x}[/tex] - μ₀) ÷ ( s/√n )

Sample mean [tex]\bar{x}[/tex] = 4.14

Population mean μ₀ = 4.00

Standard deviation 's' = 0.55 minutes

Sample size 'n' = 42

Substitute the value in the formula we get,

(4.14 - 4.00) ÷ (0.55/ √42)

= 0.14 / (0.55/ 6.5)

=0.14/ 0.085

= 1.647

c. α = 1 - 98%

   = 1 - 0.98

   = 0.02

Decision value limit :

Reject H₀ ; if P value < α

Using table ,

P value = P(Z < 1.647)

              = 0.04997

⇒P value = 0.04997

0.04997 > 0.02

Here P value > α

Fail to reject Null hypothesis .

Therefore, from the given standard deviation and mean conclusion is that there is no sufficient evidence to prove that mean wait time for customers is longer than 4.00.

The complete question is:

The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?

1. State the null and alternative hypotheses for the test.

2. Compute the value of the test statistic.

3. Draw a conclusion and interpret the decision.

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Related Questions

2. for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, how to calculate the p-value? a. pchisq(8.4345,6) b. pchisq(8.4345,5) c. 1- pchisq(8.4345,6) d. 1- pchisq(8.4345,5)

Answers

for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, p value will be pchisq(8.4345,5)

To test a hypothesis' validity against actual data, a statistical calculation called a p-value is used. The probability of experiencing the results that were observed is calculated using a p-value, assuming that the null hypothesis is true. The p-value can be calculated by looking up the 8.4345 value in the Chi-Square distribution table with 5 degrees of freedom (6-1=5). The resulting p-value will depend on the significance level you choose.

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a committee of 3 is selected from jillian, miles, mark, and nikia. how many committees contain 2 boys and 1 girl

Answers

The probability of committees contain 2 boys and 1 girl is 9.

In the given question,

A committee of 3 is selected from Jillian, Miles, Mark, and Nikia.

We have to find the how many committees contain 2 boys and 1 girl.

As we know that,

Simply put, probability is the likelihood that something will occur. If we don't know how such an occurrence will end out, we can discuss the possibility or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

There are total 3 selection.

Possibility of selecting 2 boys = [tex]^{3}C_{2}[/tex].

There are total 3 selection.

Possibility of selecting 1 girl = [tex]^{3}C_{1}[/tex].

So the probability of committees contain 2 boys and 1 girl is

P(C) = [tex]^{3}C_{2}\times^{3}C_{1}[/tex]

After solving

P(C) = 9

The probability of committees contain 2 boys and 1 girl is 9.

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Please help! I need the answer immediately, atleast 15 minutes under!

Answers

The question according to the equation will be a board that is 1/4 yard long cut into 2 equal pieces. Hence, option A is correct.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

The given equation in the question is,

1/4 ÷ 2 = 1/8

It can be clearly seen that 1/4 divided by 2 is mentioned in the question and the product obtained is 1/8.

It means that 1/4 is divided into 2 equal pieces and the length of each piece is 1/8.

So, the question will be a board that is 1/4 yard long cut into 2 equal pieces. How long is each piece?

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the combined perimeter of a circle and square is 16 cm. find the dimensions of the circle and square that produce a minimum total area.

Answers

the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

given that

the combined perimeter of a circle and square is 16cm

let side length of the square is s

let radius of the circle with r

So, the perimeter (P) and the area (A) of the shape are:

P= 4s + 2[tex]\pi[/tex]r

A = [tex]s^{2}[/tex] + [tex]\pi[/tex][tex]r^{2}[/tex]

given that perimeter is 16

so, 4s +2[tex]\pi[/tex]r = 16

divide by 4

s +0.5[tex]\pi[/tex]r = 4

s = 4 - 0.5[tex]\pi[/tex]r

substitute s value in area

A =  [tex](4-0.5\pi r)^{2}[/tex] + [tex]\pi[/tex]r

A = 16 - 4[tex]\pi[/tex]r +0.25[tex](\pi r)^{2}[/tex] +[tex]\pi[/tex][tex]r^{2}[/tex]

A =16 - 4[tex]\pi[/tex]r + (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])[tex]r^{2}[/tex]

differentiate with respect to r

A' = 0 - 4[tex]\pi[/tex] +2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r

A' = - 4[tex]\pi[/tex] +2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r

now A' =0

- 4[tex]\pi[/tex] +2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r =0

2 (0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r =  4[tex]\pi[/tex]

divide both sides by 2

(0.25 [tex]\pi ^{2}[/tex] + [tex]\pi[/tex])r = 2[tex]\pi[/tex]

r = [tex]\frac{2\pi }{0.25\pi ^{2} +\pi }[/tex]

r = [tex]\frac{2\pi }{\pi (0.25\pi +1)}[/tex]

substitute  [tex]\pi[/tex] =3.14

r = 2/(0.25(3.14)+1)

r = 1.12

substitute r value in s

s = 4 - 0.5 * 3.14 *1.12

s =2.24

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

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The ratio of cats to dogs in an animal
shelter is 2: 5, and there are 10 cats.
A group of animals arrive at the shelter and
the ratio of cats to dogs becomes 5 : 3.
Work out the smallest number of new
animals that could have arrived at the
shelter.

Answers

Answer:

5:8

Step-by-step explanation:

The ratio of dogs and cats is 5:8

The ratios always have a common multiple.

Let that common multiple is ‘a’

So dogs and cat are:

dogs=5a

cats=8a

total animals=5a+8a=13a

13a=52

a=52/13

= 4 ——- Means, the common multiple is ‘4’

So, number of cats = 8a

=8*4=32

Answer:

37

Step-by-step explanation:

math how to answer twice the sum of five times a number increased by one is twelve. determine the number

Answers

After solving the expression, the number is 5.

In the given question we have to answer twice the sum of five times a number increased by one is twelve.

We have to determine the number by solving the given statement.

To solve the question we have to read the statement carefully. Then write the expression according to the statement. Then solve the statement according the rules.

In the given statement given that five time a number.

Let the number be x. So the expression should be 5x.

Again says that five times a number increased by one. So the expression 5x+1.

Then says that twice the sum of five times a number increased by one. Now the expression should be 2(5x+1).

Then says that twice the sum of five times a number increased by one is twelve. Now the statement is 2(5x+1)=12

Now solving the expression.

Divide by 2 on both side, we get

5x+1=6

Subtract 1 on both side, we get

5x=5

Divide by 5 on both side, we get

x=1

Now the number is 5.

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**WILL MARK BRAINLIEST AND GIVE 30 POINTS**

Graph the equations y=-1/2x+3 and y=2x-2 in the applet below.



1) After you graph the two lines, be sure to take a screenshot of your work and include it in your answer below.

2) What is the solution to the system of equations?

3) Prove that the answer you provided in part 2 is correct, by substituting the solution into the original equations. Be sure to show all your work.

Answers

The graph the system of linear equations on a coordinate plane is added as an attachment and the solution is (2, 2)

How to graph the system of linear equations on a coordinate plane?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=-1/2x+3 and y=2x-2

Rewrite the equations in the system of equations as follows:

So, we have the following representation

y = -1/2x + 3

y = 2x - 2

Next, we plot the graph of the system of equations

See attachment for the graph of the system of equations

The solution to the system

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (2, 2)

This means that the solution to the system of equations is (2, 2)

Proof of the solution

Recall that

y = -1/2x + 3

y = 2x - 2

Solution = (2, 2)

So, we have

2 = -1/2 x 2 + 3 = 2 --- true

2 = 2 x 2 - 2 = 2 --- true

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38. WEATHER The temperature fell 16 degrees between noon and 3:00 P.M. At 3:00, the temperature was -3 degrees F. Write an equation to determine the temperature at noon.

Answers

Answer:

x - 16 = -3

Step-by-step explanation:

x - 16 = -3  Add 16 to both sides of the equation

x = 13

It was 13 degrees at noon

an airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. if the airline sells 170 tickets for a flight that has only 165 seats, what is the probability that a seat will be available for every person holding a reservation and planning to fly? (round your answer to four decimal places.)

Answers

The probability that a seat will be available for every person holding a reservation and planning to fly s 0.9306.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given: An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight.

The airline sells 170 tickets for a flight that has only 165 seats.

The proportion of reservations that do not show up for the flight

P = 5% =  0.05.

Number of tickets sold n = 170

Number of seats in the flight = 165

If at least 5 people do not show up then we have enough seats for every person.

P(X ≥ 5) =  Σ (from 5 to 170)[tex]170C_x(0.05)^x(0.95)^1^7^0^-^x[/tex]

P(X ≥ 5) ≈ 0.9306

Hence, the probability that a seat will be available for every person holding a reservation and planning to fly s 0.9306.

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Keilantra runs a farm stand that sells strawberries and blueberries. Each pound of
strawberries sells for $2.25 and each pound of blueberries sells for $4. Keilantra
made $204.50 from selling a total of 73 pounds of strawberries and blueberries.
Determine the number of pounds of strawberries sold and the number of pounds of
blueberries sold.

Answers

The number of pounds of strawberries sold and the number of pounds of blueberries sold are 50 and 23 respectively.

How to number of pound strawberries and blueberries are sold?

As in the question Keilantra runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2.25 and each pound of blueberries sells for $4. Keilantra made $204.50 from selling a total of 73 pounds of strawberries and blueberries.

According to question:

Let x be a number of strawberries and y is that of blueberries.

2.25x + 4y = 204.5-----------------------(1)

And

x + y = 73--------------------------------------(2)

On solving equation (1) and (2), we get,

x = 50 and y = 23

So, there are 50 pound strawberries and 23 pound  blueberries are sold.

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a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 438 gram setting. is there sufficient evidence at the 0.02 level that the bags are underfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.

Answers

The required hypothesis are as follows , H0: μ = 438 and Ha: μ ≠ 438

The null hypotheses for the above scenario will be the statement of no effect and it'll be the mean weight of the bag that filled will be 438grams.

H0: μ = 438

The alternative hypotheses for the above scenario will be that the bag isn't filled with 438grams. They are either underfilled below 438grams or overfilled above 438grams.

Ha: μ ≠ 438

Statistics is the study of surveys and research on numerical data. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.

The null hypothesis is a broad assertion or default condition that there is nothing happening. For instance, there is no relationship between two measured occurrences or a connection between groups.

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(8x²+4) + (-x² -3x)




























































solve this

Answers

7x^2-3x+4




i think this is the answer

The mass of a white-tailed deer is about 1.4 times the mass of a cougar. The average mass of a white-tailed deer is 98 kg. Calculate the mass of a cougar. Start with an equation that includes a variable. Show all work

Answers

The mass of the Cougar is 70 Kg using the concept of equations.

What are equations?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It demonstrates the equal relationship between the expressions presented on the left and right sides. To determine the value of an unknown variable that stands in for an unknown quantity, equations can be solved. If there is no "equal to" symbol, a statement is not an equation.

Let the mass of white-tailed deer = d

Mass of cougar = c

According to the question,

d = 1.4 × c                   ....(1)

d = 98 kg                   ....(2)

So,

1.4 × c = 98

c = 98/1.4

c = 70

So, the mass of the Cougar = 70 Kg

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the positive integers x, y, and z are such that x is a factor of y and y is a factor of z. is z even? (1) xz is even. (2) y is even.

Answers

As asked in the question the value of xz and y will be even ,

xz is even and y is also even

given

X = factor of Y

Y = factor of Z

Therefore,

z= mnz = mnx  , xz = even

because

either z even, so the answer is directly yes or x is even (or both) but if x is even and as then  z= mnz = mnx must be even too (one of the multiples of z is even, so z is even too).

(2) y=  even

because

as z=ny then as one of the multiples of z even then only  z  will be even

Integers are the collection of whole numbers and negative numbers. Similar to whole numbers, integers also does not include the fractional part. Thus, we can say, integers are numbers that can be positive, negative or zero, but cannot be a fraction. We can perform all the arithmetic operations, like addition, subtraction, multiplication and division, on integers.

The examples of integers are, 1, 2, 5,8, -9, -12, etc. The symbol of integers is “Z“.

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What is the prime factorization of the number.
132

Answers

Answer:The prime factorization of 132 is 2 × 2 × 3 × 11 or 22 × 3 × 11.

Step-by-step explanation:

The prime factorization of 132 is 2 × 2 × 3 × 11 or 22 × 3 × 11.

Question at position 1
One serving of a fruit punch recipe serves 16 people.
Which of the following answer choices correctly lists the ordered pairs for 1, 2, 3, and 4 servings? (number of servings, number of people served)

(16, 1), (32, 2), (48, 3), (64, 4)
(1, 16), (2, 32), (3, 48), (4, 60)
(1, 16), (2, 32), (3, 48), (4, 64)
(1, 32), (2, 48), (3, 64), (4, 80)

Answers

Answer:

(1,16),(2,32),(3,48),(4,64)

Step-by-step explanation:

so 1=16

2×16=32

3×16=48

4×16=64

The correct answer is C. (1, 16), (2, 32), (3, 48), (4, 64)

How did we figure out this?

For this equation we have to "multiply" each number that makes scene.

We got to work with what is given in the question.

Given options:

(16, 1), (32, 2), (48, 3), (64, 4)

(1, 16), (2, 32), (3, 48), (4, 60)

(1, 16), (2, 32), (3, 48), (4, 64)

(1, 32), (2, 48), (3, 64), (4, 80)

Therefore, the equation is:

[tex]2*16\\3*16\\4*16[/tex]

2 x 16 = 323 x 16 = 484 x 16 = 64

Therefore, the correct answer is C. (1, 16), (2, 32), (3, 48), (4, 64)

Can you guys please help me

Answers

The corner of the triangle is 90°, next you subtract 180°- 90°= 90°. Since there’s two angles of the triangle that you don’t know you divide 90 by 2. Which is 45, so X= 45

(−12)3+ (24+9)−−−−−−−√.

Answers

Answer:

-3 is the answer.

Step-by-step explanation:

Given

(-12)3 + (24+9)----------^

= -12*3 + 33 ---------

= -36 + 33

= -3

PLEASE HELP!! HURRY!!!

Answers

Answer:

A. is the answer

Step-by-step explanation:

y as a function of x meaning:

Every x has a y, but the x value cannot repeat and every x has it's own y.

Example:

x: 1 2 3 4 5

y: 2 4 6 8 10

This is y as a function of x because the x values do not repeat and they each have a y value.

Example 2:

x:3 4 5 3 6

y: 1 2 3 4 5

This wrong because the 3 in the x value repeats twice which cause y not to be a function of x.

The reason why it wouldn't be B is because of -1

The reason why it wouldn't be C is because the y values repeat

The reason why it wouldn't be D is because all the x values are -7

Hope this helped!

A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 61 degrees, what does ADC measures?

Answers

Answer:

61

Step-by-step explanation:

hope this helps

61!!
hope this helps

H. On average, Luke Hobbs drives 560 miles in 8 hours. How far does he drive in 1.5 hours?​

Answers

Simple! First, take 560 and divide it by 8 to find how many mile she drives per hour which is equal to 70 miles per hour then multiply that by 1.5 to get your final answer. The final answer is 105.

The population of Orange County is represented by the function f(x) - 87,000(0.9)*, where x is the number of years since 2010.
The population of Greene County was 78,000 in 2010, and has decreased exponentially at a rate of 8% each year.
How do the populations of these counties compare in 2015?
Drag a value or word to the boxes to correctly complete the statements.
In 2015, the population of Orange County was approximately
approximately
In 2015,
51,373
County was more populous
51,408 55,879
8
and the population of Greene County was
57,081 Greene
1
10
Orange

Answers

The population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.

What is an exponential function?

The definition of an exponential function is given by the equation

y = aeᵇˣ, where a and b are constants.

The given function is f(x) = 87000(0.9)ˣ.

Given that x = 0 represents the year 2010.

Therefore, x= 5 represents the year 2015.

Substitute x = 5 into the given function:

f(5) = 87000(0.9)⁵

     ≈ 51373

Hence, the population of Orange country is about 51373 in 2015.

Now, the population of Greene country was 78000 in 2010 and has decreased exponentially at a rate of 8% each year.

The population of Greene city after 5 years is given by:

78000(1-8%)⁵

= 78000(1 - 0.08)⁵

= 78000(0.92)⁵

= 51408

Therefore, the population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.

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Credit scores are often a factor in determining your insurance premiums. Search the Internet using the keywords “credit score and insurance rates" and briefly respond to these questions:

What are some pros and cons of using credit scores for insurance pricing?
Correlations are used to justify considering credit scores to set premiums. What other variables related to credit scores justify linking them to a premium rate?
Describe from the insurance company’s perspective which expected values are affected by use of credit scores.
Do you agree or disagree with using credit scores in determining insurance premiums? Support your opinion briefly.
No Response(s)
Be the first to respond to the Discussion topic!

Answers

Answer:

Step-by-step explanation:

Pros: Lower rates: Insurance rates are reduced for most consumers. ✓ Rates match risk: Higher-risk policyholders may pay a higher rate that accurately reflects their higher risk of loss – so lower-risk policyholders don't have to subsidize the cost of insurance for higher-risk policyholders.

Cons: HIGHER rates.

Insurance companies justify the use of insurance scores by citing studies showing a positive correlation between credit scores and insurance claims

A higher credit score decreases your insurance rate, often significantly, with almost every company and in most states. Getting a quote, however, does not affect your credit. Your credit score is a key part of determining the rate you pay for insurance.

please hurry
Identify the form the following equation is in

y =−14x + 3

a.point slope
b.standered form
cslope intercept form

Answers

Answer: -3x2

Step-by-step explanation:

help :(( pleaseeeeeee

Answers

Answer:

69.29 deg

Step-by-step explanation:

Recall that tan(x) = opposite/adjacent. This is helpful because we know the opposite and adjacent leg from the angle x! This gives us tan(x) = 43/18, so we can solve for x by taking tan^-1 of both sides, giving x = tan^-1(43/18), or 67.29 degrees.

g suppose (x y)6 is completely expanded as a sixth-degree polynomial. in the expanded expression, what are a (the coefficient of the middle term) and b (the sum of all the coefficients)?

Answers

In the expanded expression of the given polynomial, the coefficient of the middle term is 20 and the sum of all coefficients is 64.

What is a polynomial?

'poly' means many and 'nominal' means term. A polynomial is a type of algebraic expression with many terms having variables and coefficients.

Given polynomial is,

[tex] {(x + y)}^{6} [/tex]

Expanding the given sixth-degree polynomial using binomial expansion we get the expression of the picture given.

Solving all expressions we get,

[tex] {(x + y)}^{6} = {x}^{6} + 6 {x}^{5} y +15 {x}^{4} {y}^{2} + 20 {x}^{3} {y}^{3} + 15 {x}^{2} {y}^{4} + 6x {y}^{5} + {y}^{6} [/tex]

The middle term is

[tex]20 {x}^{3} {y}^{3} [/tex]

The coefficient of the term is 20

The sum of all coefficients is 1+6+15+20+15+6+1= 64

Hence, in the expanded expression of the given polynomial, the coefficient of the middle term is 20 and the sum of all coefficients is 64.

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If y=x+2 we’re changed to y=x-1, how would the graph of the new function compare with the first one?

Answers

The graph of the new function compared to the first one will be shifted down.

Define vertical translation.

Vertical translation describes the movement of a function graph upward or below. The function's form is preserved in this case. The graph moving or shifting along the y-axis is another name for it. Each point on the graph moves k units vertically during vertical translation, and the graph is said to have translated k units.

The two functions are

f(x) = x + 2

g(x) = x - 1

You can see that all you need to do to transform f into g is just take 3 off of it.

f(x) - 3 = (x+2) - 3

= x + 2 - 3

= x - 1

= g(x)

Every transformation, such as f(x) f(x) + k, now produces a vertical translation, which is translated upward if k > 0 and downward if k 0. The correct response is C since the function is translated three units down in our situation where k = -3.

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The complete question is:

"If y = x + 2 were changed to y = x - 1, how would the graph of the new function compare with the first one?

A. It would be shifted up.

B. It would be shifted left.

C. It would be shifted down.

D. It would be less steep."

two vertical poles have heights of 6ft and 12 ft. two ropes are stretched from the top of each pole to the bottom of the other. how far above the ground do the ropes intersect each other? (r3 - similarity

Answers

The square of the hypotenuse equals the square of the sum of the other two sides is 13.89ft

Definition Of Pythagoras Theorem :

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Given:

Height of the Tent Pole = 6ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

Hence, the length of the rope is 13.89ft.

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25.20 ÷ -0.5

How do I write out how I divided it?

Answers

Answer:

You can write it like 25.20 x -2 = -50.40

Step-by-step explanation:

Graph the function f(x)=(1/4)^x

Answers

[tex]f(x)=(\dfrac{1}{4} )^x[/tex]

Please refer to the following graph below:

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