The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that a is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. Find:

a. Null Hypothesis.
b. Alternative Hypothesis
c. Test Statistic
d. P-value

Answers

Answer 1
I’m sure The correct answer is c
Answer 2

The answers to all parts shown below.

What is Standard Deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

a) [tex]H_o[/tex]:[tex]\mu[/tex]≥ 200

[tex]H_a[/tex]: [tex]\mu[/tex]< 200

b) Mean = 183.9 and sample standard deviation = 121.2

c) Test statistic:

= (183.9-200)/[121.2/√(54)]

= -0.97611

d) Now,

= ([tex]t[/tex]<-0.97611 with degree of freedom = 53)

= (-10,-1,5036,53)

= 0.168968

Conclusion: Since the [tex]p-value[/tex] is less than 10% [tex]reject[/tex] [tex]H_0[/tex].

The test results support the claim.

Learn more about standard deviation here:

https://brainly.com/question/23907081

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Related Questions

Part A: Elijah has 1/2 bag of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?

Part B: Elijah has 2 1/2 bags of candy. A bag of candy weighs 5 pounds. How many pounds of candy does Elijah have?

Answers

Answer:

A. 2.5 pounds

B. 12.5 pounds

Step-by-step explanation:

Answer:

a 2.5 b 12.5

Step-by-step explanation:

for math the answer was
cylinder with a radius
of 5 units and a height
of 3 units
a cylinder with a radius
of 4 units and a height
of 4 units
a cylinder with a radius
of 3 units and a height
of 6 units
a cylinder with a radius
of 3 units and a height
of 5 units

Answers

Hi how ghgfoifordtpxotx

BRAINIEST AND 10 POINTS

Answers

Answer:

Last answer is correct..

A tourist shop earns a 20% profit on all sale of flip-flops. If the total in flip-flop sales was $1,280. What is the profit?

Answers

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

The RADIUS of the barrel is 2.

What is the circumference of the barrel?

Answers

The circumference is about 12. This would been a bit easier if I knew the diameter.

Step-by-step explanation:

the required formula is C = 2(pi)r.

Here that comes to 6.28(2 units), or 12.56 units.

Order the following numbers from greatest to least:
0.42,4.2%,
2
4.1 x 101
9

Answers

Answer:4,1x101, 9, 4.1, 2, 0.42, 0.042

Step-by-step explanation:

(easy 7th grade math questions please help) find the measure of the indicated angle in each triangle

Answers

Step-by-step explanation:

Thei answers in picture

Find the volume plzzzzz thx

Answers

Answer:

144 isnt it? 6x6x4 length x width x height it should be 36x4

Step-by-step explanation i dont know sorry

Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
60 units
11 units
90 units
61 units

Answers

The answer is 90 units hope this helps

Answer:

90

Step-by-step explanation:

The principal is Rs.30,000 the interest rate is 12%. Calculate the total value after 2 year
using compound interest.

Answers

Total value=
112/100 x 112/100 x 30,000
= 37632 Rs

Answer:

37632

Step-by-step explanation:

An=A(1+12%)²

Find the missing length indicated

Answers

Answer:

The missing length is 80 degrees.

Step-by-step explanation:

Every triangle is equal to 180 degrees. If you add 64 and 36, you get 100. 180-100 is equal to 80, therefor x is equal to 80.

3.
A train can travel 360 miles in 4 hours. How much time will it take
travelling 585 miles?​

Answers

Answer:

6.5 hours

Step-by-step explanation:

We can write a ratio to solve

360 miles      585 miles

---------------- = ------------

4 hours         x hours

Using cross products

360 * x = 4* 585

360 x = 2340

Divide each side by 360

x = 2340/360

x =6.5

In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False

Answers

I think the answer is true.

Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 2 with these dice. Be sure to reduce.​

Answers

Answer:

1/36

Step-by-step explanation:

you multiply 1/6 × 1/6

because the only way to get the sum of 2 is 1+1 and there is a 1/6th chance on both dice

Answer:

1/36

Step-by-step explanation:

got it right


100-19+20+200= what is the answer for this question

Answers

109-19=90
90+20=110
110+200=310

Answer:

301

Step-by-step explanation:

Heres ow you do it,

1- 100-19= 81

2- 81+20= 101

3- 101+200= 301

Hope this helps!!! :)

9.
Los conjuntos de parejas ordenadas son ejemplos de funciones, excepto:
A) {(1, 1), (2, 1), (3, 1).(4.1).(5, 1))
B) ((0, 1). (1.2). (2,4), (3.9). (4.16))
C) f(-2, 1), (-1,0), (0, 1).(-1,2), (2, 2))
D) ((-2,-3), (-1,-1). (0, 1), (1,3). (2.5))

Answers

El conjunto de parejas ordenadas que no es una función es: Alternativa C: {(-2,1),(-1,0),(0,1),(-1,2),(2,2)}

Una función se define como un conjunto de parejas ordenadas (x, y) donde no se repite el valor de "x" (corresponde al dominio de la función) En el caso específico del ejercicio, la alternativa C no corresponde con una función ya que tienen dos parejas con el mismo valor de "x":  {(-2,1), (-1,0), (0,1), (-1,2), (2,2)} Estos pares están en negrita, y el valor repetido subrayado.

Can someone help me out? Due today! Solve for x. Assume that lines which appear tangent are tangent. 11&12 please

Answers

Answer:

11. C

12. A

Step-by-step explanation:

11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)

(11 + x)(x + 1) = (x + 5)(x + 5)

11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)

11x + 11 + x² + x = x² + 5x + 5x + 25

Add like terms

x² + 12x + 11 = x² + 10x + 25

Collect like terms

x² - x² + 12x - 10x = -11 + 25

2x = 14

2x/2 = 14/2

x = 7

12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)

8x + 64 = 216

Subtract 64 from each side

8x = 216 - 64

8x = 152

8x/8 = 152/8

x = 19

There are 15 books on a shelf. 9 of these books are new. The rest of them are used. what is the ratio of all books​

Answers

Answer:

a)15:6 b)2:3

Step-by-step explanation:

No. of used books=15-9=6

a) 15:6

b)

6:9

2:3

You are saving to buy a speed boat. Starting today, you will put $1,000 into an investment account. Each month thereafter, your contribution will be .1% (.001) higher than the month before, so that your contribution next month will be .1% higher than today, and so forth and so on. The investment account has a periodic monthly interest rate of .4% (.004). Ignore taxes. You will make contributions until 5 years from today.
At the end of five years, when you put in your last ­contribution, how much will you have saved?

Answers

Answer:

You will have saved $69,612 after five years.

Step-by-step explanation:

This can be calculated using the for formula for calculating the future value of a growing annuity as follows:

FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)

Where;

FW = future value or amount you will have saved after five years = ?

C = first deposit = $1,000

r = periodic monthly interest rate of = 0.4%, or 0.004

g = growth rate of contribution = 0.1%, or 0.001

n = number of months = 5 years * 12 = 60

Substituting all the values into equation (1), we have:

FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))

FV = $1,000 * 69.612001854052

FV = $69,612.00

Therefore, you will have saved $69,612 after five years.

Branly and 100 points

f (x) =x² - 3x - f

find the value of f(1) and f-(2)

f (1) = ______
and f (-2) = _____

Answers

Answer:

for every x in the domain of f, f -1[f(x)] = x, and

for every x in the domain of f -1, f[f -1(x)] = x

Step-by-step explanation:

f(1) and f(-2) means to replace x in the equation with the number inside the parenthesis and then solve.

f(1) = (1)^2 -3(1) -f = 1 -3 -f = -2-f

f(-2) = (-2)^2 -3(-2) -f = 4 + 6 - f = 10-f

The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?

Answers

Answer:

225[tex]\pi[/tex]

or 706.86 rounded

Step-by-step explanation:

area of a circle is  [tex]\pi r^{2}[/tex](r=radius)

[tex]\pi r^{2}[/tex]

[tex]\pi 15^{2}[/tex]

[tex]\pi 225[/tex]

=225[tex]\pi[/tex]

Least common multiples of two- digit numbers. I need two examples. SHOW WORK

Answers

9514 1404 393

Answer:

LCM(21, 51) = 357LCM(42, 90) = 630

Step-by-step explanation:

For a pair of numbers, I find it convenient to think in terms of factors unique to the number, and factors shared with the other number.

Consider the numbers 21 and 51, for example.

  21 = 3·7

  51 = 3·17

The factor 3 is shared by both numbers. The factors 7 and 17 are unique to one number or the other.

If we group these factors like this ...

  (factors unique to 1 [ shared factors ) factors unique to 2]

  = (7 [3 ) 17]

The numbers in ( ) parentheses are the factors of 21, and the numbers in [ ] brackets are the factors of 51.

The LCM (least common multiple) is the product of the factors in those brackets:

  LCM(21, 51) = 7 × 3 × 17 = 357

__

The unique factors of the numbers don't have to be prime (as in the above example); they just cannot be shared. Here's another example for the numbers 42 and 90

  (7 [ 3·2 ) 3·5 ] = (7 [ 6 ) 15] . . . . factors of (42) and [90]

Then the LCM is ...

  LCM(42, 90) = 7 × 6 × 15 = 630

_____

Additional comment

What we have called "shared factors" here is the same as the "greatest common divisor"(GCD) or "greatest common factor" (GCF).

If we divide our little diagram so it shows the product of the two numbers:

  (42)[90] = (7×6)·[6×15]

we can see that the LCM is the quotient of the product and the GCD.

  LCM(A, B) = A·B/GCD(A, B)

This is an occasionally handy relationship, as it is not difficult to find the GCD of a pair of numbers using Euclid's algorithm.

Which of these are polygons?
On
А
B
o
D
F
G
G

Answers

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

Answer: B C and F (but I cant see G!)

Explanation: Polygons are anything with multiple sides. Also, it has to be a closed figure. Anything circular is NOT a polygon.

Hope this helped!! :))

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

Answer:

[tex]77[/tex]

Step-by-step explanation:

The troop wants to sell a minimum of 1,000 boxes, so we're looking for the smallest number of boxes they can sell and still meet the goal. Since there are 13 girls in the troop, take the ceiling (round up to the nearest whole number) of 1,000 divided by 13:

[tex]\left\lceil \frac{1,000}{13}\right\rceil=\boxed{77}[/tex]

FIND THE AREA I WILL MARK BRAINLIEST

Answers

Answer:

Hello! answer: 104

Step-by-step explanation:

(base × height)

13 × 8 = 104 therefore the area is 104 hope that helps!

Answer:

104

Step-by-step explanation:

8*13

Find the perimeter of the figure.

Answers

Answer:

=76.5 cm

Step-by-step explanation:

Add up the lengths of the outsides

P= 15.6+ 13.6+13.6+17.6+16.1

P =76.5 cm

HELP PLSSSSSSSSSSSSSS!!!!!!!!!!!!!! I will Give Brainlyest!!!

Answers

Answer:

[tex]\frac{21}{8}[/tex]

Step-by-step explanation:

[tex]6\frac{1}{4}=6+\frac{1}{4}=\frac{25}{4}\\\\3\frac{5}{8}=3+\frac{5}{8}=\frac{29}{8}\\[/tex]

finally

[tex]6\frac{1}{4}-3\frac{5}{8}=\frac{25}{4}-\frac{29}{8}=\frac{21}{8}[/tex]

The answer to your question is 2 5/8. If your looking for a non simplified answer then your non simplified answer is 84/32. But your official answer is 2 5/8

D+16/3=17 the steps??!!

Answers

Answer:

11

Step-by-step explanation:

D+16/3=17 the steps?

1. D+16/3=17

Divide 16/3.

D+6 = 17

2. subtract 6 from both side.

D = 11.

Answer is D=35

STEP1:

d + 16
Simplify ——————
3
Equation at the end of step
1
:

(d + 16)
———————— - 17 = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

17 17 • 3
17 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(d+16) - (17 • 3) d - 35
————————————————— = ——————
3 3
Equation at the end of step
2
:

d - 35
—————— = 0
3
STEP
3
:

When a fraction equals zero :

3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

d-35
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
d-35 = 0

Solving a Single Variable Equation:

3.2 Solve : d-35 = 0

Add 35 to both sides of the equation :
d = 35

Please help and Solve for x.

Answers

Answer:

[tex]tan70 = \frac{opp}{adj} \\ \: \: = \frac{15}{x } \\ \\ x = \frac{15 }{tan70 } \\ \\ = \frac{15}{2.747} \\ \\ = 5.46[/tex]

since 5.46 is equal to 5.5...

I think the answer is the first one

find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth

Answers

Answer:

3.0

Step-by-step explanation:

Sample standard deviation is found by steps below.

Find the mean:

μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2

Find deviations from the mean and their squares:

9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.8413 - 12.2 = 0.8 ⇒ 0.8² = 0.649 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.84

Sum the squares:

10.24*2 + 7.84*2 + 0.64 = 36.8

Divide by N - 1 (N - number of samples):

36.8/(5 - 1) = 9.2

Square root is the sample standard deviation:

σ = √9.2 = 3.0 (rounded)
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