a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value. Write information given with correct symbols. Hypothesis interpret the p-value. b) A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use? c) Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tailed test? d) What should you do if α = p-value?

Answers

Answer 1

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.


Related Questions

10.6 - 3x when x is equal to 4.5.​

Answers

Answer:

The answer is 2.6

Hope this Helps!!!

10.6-3(4.5)
10.6-13.5
=-2.9

HELPPPP PLEASE!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

7 - 2 = 5

11 - 3(2)

11 - 6 = 5

4(2) - 3

8 - 3 = 5

C is the only one that doesn't equal 5

The degrees of freedom in a t distribution is?

Answers

Answer: 7 degrees of freedom.

Step-by-step explanation:

what is the inequalities x<3

Answers

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

hope this help you... :) and have a good day

Answer:equal to y

x is equal to y. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. x>y. x is greater than y.

Step-by-step explanation:

Solve the system of equations by any method you choose
-4x-2y=-2
-9x+3y=3

Answers

Answer:1. Use substitution to solve the system of equations:

   -x + 2y=7

    x - 3y = 3

2. Solve the system of equations by the elimination method

a.  2x+ y = -17

   x - y = 2

b. 3x + y = -15

  x + 2y = -10

Answer:

(0, 1)

Step-by-step explanation:

You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.

-9x+3(-2x+1)=3

-9x-6x+3=3

-15x=0

x=0

Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.

-9(0)+3y=3

3y=3

y=1

In which quadrant the values of x and y both negative.

Answers

Answer:

The Answer should be Quadrant III

Step-by-step explanation:

Hope this helped!

Mareo bounces a basketball 45 times in 55 seconds. At that rate,
approximately how many times will Marco bounce the ball in 150
seconds?

Answers

I’m sorry I didn’t know that you were going to be in there until about it later this week and then he came back and forth

The population of a remote village is about 3 x 102 and the population of the nearest large city is
about 6 x 10%. Determine how many times larger the city population is in comparison to the
village population.
A. 18 x 107
B. 2000
C. 2 x 107
D. 2 x 10
E. 5x102

Answers

Answer:

DE

Step-by-step explanation:

help me please it’s due soon

Answers

Add them both up and divided by 2, 52+45=97. 97/2 =48.5

Step-by-step explanation:

Expand the Logarithm

Answers

Step-by-step explanation:

The power can come to the front according to logarithm rule.

What is the vertex of the quadratic function: y=1/2(x-3)2+8?

(3,8)

(-3,-8)

(-3,8)

(3,-8)

Answers

Answer:

(3,8)

Step-by-step explanation:

THIS IS AN EXAMPLE FOR ANY PROBLEM!!

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

- Good luck!

You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from ... 10 slices of bread and 20 slices of cucumber

Answers

Question:

You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from 10 slices of bread and 20 slices of cucumber? assuming you have plenty of everything

Answer:

4 sandwiches

Step-by-step explanation:

Given

1 Sandwich contains:

[tex]Bread = 2\ slices[/tex]

[tex]Turkey = 1\ slice[/tex]

[tex]Cheese = 2\ slices[/tex]

[tex]Tomato = 3\ slices[/tex]

[tex]Cucumber = 5\ slices[/tex]

Required

Number of sandwiches from 10 slices of bread and 20 slices of cucumber?

Since we are to assume that every other thing is in abundance, we will only consider the unit amount of bread and cucumber

[tex]Bread = 2\ slices[/tex]

[tex]Cucumber = 5\ slices[/tex]

Express as ratio

[tex]Bread : Cucumber = 2 : 5[/tex]

When the ratio is multiplied by 5, the slice of cucumber (25) will exceed the available slices (20).

So, we multiply by 4

[tex]Bread : Cucumber = 2*4 : 5*4[/tex]

[tex]Bread : Cucumber = 8 : 20[/tex]

This implies that:

8 slices of bread and 20 slices of cucumber are used

Hence:

4 sandwiches can be made

In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet. A broadband company believes that the percent is greater now than it was in 2009 and will conduct a survey. The company plans to construct a 98 percent confidence interval to estimate the current percent and wants the margin of error to be no more than 2.5 percentage points. Assuming that at least 79 percent of adults use the Internet, which of the following should be used to find the sample size (n) needed?

a. 1.96 â0.5/n = 0.025
b. 1.96 â0.5(0.5)/n = 0.25
c. 2.33 â0.5(0.5)/n =0.05
d. 2.33 â0.79(0.21)/n= 0.025

Answers

Answer:

[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}[/tex]

Option d.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

79 percent of adults age 18 years and older in the United States use the Internet.

This means that [tex]\pi = 0.79[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].

Which of the following should be used to find the sample size (n) needed?

We have to find n for which [tex]M = 0.025[/tex]

So the equation is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}[/tex]

Option d.

Help pls also show work if needed!

Answers

Answer:

(4,18); (6,22); (8,26)

Step-by-step explanation:

Plug in the numbers 4, 6, and 8, in for d using the equation.

c=2d+10

c=2(4)+10

c=8+10

c=18

(4,18)

c=2d+10

c=2(6)+10

c=12+10

c=22

(6,22)

c=2d+10

c=2(8)+10

c=16+10

c=26

(8,26)

Answer:

14

18

22

26

Step-by-step explanation:

c = 2d + 10

1st one: substitute 2 for d

c = 2 x 2 + 10

c = 14

2nd one: substitute 4 for d

c = 2 x 4 + 10

c = 18

3rd one: substitute 6 for d

c = 2 x 6 + 10

c = 22

4th one: substitute 8 for d

c = 2 x 8 + 10

c = 26

PLEASE ANSWER!

Draw a right triangle with side lengths of 3, 4, and 5 units.

Answers

Sides of the triangle = 3, 4, 5

Here, one thing to remember is, you have to put 5 as the "Hypotenuse" (Longest side) & smaller one's as Base & Perpendicular.

Hope this helps!

HURRY PLEASE

Simplify: 12k - 6 + (3k)(4)

Answers

12k-6+12k (expand the brackets first)
24k-6 (collect like terms)

Final answer is 24k-6

Please Help me !!!!!!

Answers

Ok so I’m going to try my best:
I’m guessing you would do $960 times 6.1 but you move the decimal point twice to the left which would be: .061
This is how we find out each month
58.56
So, we start out with $960 we keep adding 58.56 or to do faster we can multiply
Adding 58.56:
1 = 1018.56
2 = 1077.12

Multiplying 58.56 by 13:
KEEP IN MIND THAT WE START FROM $960 and we need TO GET TO $1,720
58.56 times 13 equals 761.28
Then we add
960 + 761.28
1721.28

So it would have to be 12 months since it needs to be less or “to the nearest year”
Therefore, the answer would be a year

I hope this helps! :) good luck


It’s 12 months I think I’m sorry if it’s wrong.

the value of square root of 4/49​

Answers

Answer:The square root of 4 is 2 . The square root of 49 is 7 .Apr 19, 2015

Step-by-step explanation:

Give the range of the following data set: 4, 5, 8, 18, 21, 43, 82 *
88
86
78
Option76 4

Answers

Answer:

78

Step-by-step explanation:

The range is the difference between the highest and lowest number:

4, 5, 8, 18, 21, 43, 82

The highest number is 82 and the lowest is 4

82 - 4 = 78

The range is 78

What's the question? The answer is 32/3

Answers

Answer:

10.67 or 10.7

Step-by-step explanation:

32/3= 10.67 or 10.7

Answer:

10.6666666667 converted into a fraction (sorry if im wrong)

Step-by-step explanation:

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

y=1+ secx, y =3; about y=1

Answers

Answer:

Step-by-step explanation:

[tex]\text{Given that:}[/tex]

[tex]y = 1+ sec(x) \ \ y =3[/tex]

[tex]\text{we draw the graph and the curves intersect at:}[/tex]

[tex]x = - \dfrac{\pi}{3} \ and \ x = \dfrac{\pi}{3}[/tex]

[tex]\text{Applying washer method;}[/tex]

[tex]f(x) _{outer} - g(x) _{inner} --- (1)[/tex]

[tex]V= \int ^b_a A(x) \ dx --- (2)[/tex]

[tex]\text{outer radius = 3 - 1 = 2}[/tex]

[tex]\text{inner radius =}[/tex] [tex]( 1 + sec(x) ) - 1 = sec (x)[/tex]

[tex]A(x) = \pi ((2)^2 -(sec(x)^2) \\ \\ A(x) = \pi (4 - sec^2 (x)) ---- (3)[/tex]

[tex]\text{The volume V =}\int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ A(x) \ dx[/tex]

[tex]V = \int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ \pi (4- sec^2 (x) ) \ dx[/tex]

[tex]V = 2 \pi \int ^{\dfrac{\pi}{3}}_{0}( 4 - sec^2 (x)) \ dx[/tex]

[tex]V = 2 \pi \int ^{\pi/3}_{0} 4 . \ dx - 2 \pi \int ^{\pi/3}_{0} sec^2 (x) \ dx[/tex]

[tex]V = 2 \pi(4) \int ^{\pi/3}_{0} 1 . \ dx - 2 \pi \Big( tan (x)\Big )^{\dfrac{\pi}{3}}_{0}[/tex]

[tex]V = 8 \pi(x)^{\dfrac{\pi}{3}}_{0} - 2 \pi \Big( tan \dfrac{\pi}{3} -tan (0)\Big )[/tex]

[tex]V = 8 \pi({\dfrac{\pi}{3}}-{0}) - 2 \pi \Big( tan \sqrt{3}-(0)\Big )[/tex]

[tex]V = 8 \pi({\dfrac{\pi}{3}}) - 2 \pi \Big( \sqrt{3}\Big )[/tex]

[tex]\mathbf{V = 2 \pi \Big(\dfrac{4\pi}{3}- \sqrt{3} \Big)}[/tex]

Convert 6 fluid ounces into cups.

Answers

Answer:

0.75 Of a cup

Step-by-step explanation:

Answer:

0.75 cups

Step-by-step explanation:

1 fluid ounce is 0.125 cups (1/8th of a cup)

Hence,

6 fluid ounces = 0.125 x 6 = 0.75 cups

On his math homework assignment, Steven solved six problems correctly 2 points
and eight problems incorrectly. Write a ratio comparing his correct
answers to incorrect answers. Write a ratio comparing his incorrect
answers to the total number of problems. *
WHO EVER ANSWERS I WILL MARK BRAINLIEST

Answers

Answer:

6:8 and 8:14

Step-by-step explanation:

convert 13.025 to base 10​

Answers

Answer:

Your question is in what base please?

1

3

This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2

2

4

hours on Wednesday. Next week Andres will practice with his band for the same number of hours

on Monday, Tuesday, and Wednesday.

What is the total number of hours Andres will practice with his band over these 6 days?

Answers

Answer:

[tex]Total = 104\ hrs[/tex]

Step-by-step explanation:

Given

[tex]Monday = 15\ hrs[/tex]

[tex]Tuesday = 13\ hrs[/tex]

[tex]Wednesday = 24\ hrs[/tex]

Required

Determine the hours of practice over 6 days

First, we calculate the hours for the given 3 days.

[tex]Hours = Monday + Tuesday + Wednesday[/tex]

[tex]Hours = 15\ hrs + 13\ hrs + 24\ hrs[/tex]

[tex]Hours = 52\ hrs[/tex]

The hours of practice for the other three days is also 52 hours.

So, the total is:

[tex]Total = 52\ hrs + 52\ hrs[/tex]

[tex]Total = 104\ hrs[/tex]

Answer:

104

Step-by-step explanation:

Which of the following is a unit fraction?


A. 4/9

B. 15/16

C. 3/8

D. 1/8

Answers

Answer:

D. 1/8

Step-by-step explanation:

A unit fraction is a fraction with numerator of 1.

Answer:

D 1/8 Because unit factions always have a one as the numarator

PLEASE HELP I WILL GIVE BRAINLIEST IF YOU GET IT RIGHT 7TH GRADE MATH

Answers

Answer:

D.324

Step-by-step explanation:

Answer:

D. 324 Sq in

Step-by-step explanation:

Painted area = area of rectangle + Area of square + Area of triangle

[tex] = 60 \times 4 + {8}^{2} + \frac{1}{2} \times 8 \times 5 \\ \\ = 240 + 64 + 20 \\ \\ = 324 \: {in}^{2} [/tex]

Select the correct answer.
Which scatter plot shows a positive linear association?

Answers

Answer:

what ever plot goes upwards is the positive one

Step-by-step explanation:

Answer:

D is the awnser :)

Step-by-step explanation:

Every mark is increasing...

Solve and check the equation.
3(2y - 5) = 5(y + 4)

Answers

Use math-way to solve and check, it gives you all the answers, with a small explanation.

Answer:

y=35

Step-by-step explanation:

3(2y - 5) = 5(y + 4)

6y - 15 = 5y +20

6y - 5y = 20 + 15

y = 35

You have 100 workers who make $9 per hour that work 40 hours per week, 52 weeks a year. If the minimum wage
increased to $11 per hour, how much extra money will the company pay for these 100 workers?

Answers

Answer:

416,000

Step-by-step explanation:

per hour 9*100=900

per week 900*40=36,000

per year 36,000*52=1,872,000

with raise

11*100=1,100

1,100*40=44,000

44,000*52=2,288,000

difference equals

416,000

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