Your friend Fred claims that his average gym workouttime is at least 150 minutes per day. You pick a randomsample of 10 days and observe that on the days in thesample, Fred’s average workout time was 136 minutes.The standard deviation of workout times in the samplewas 28 minutes. You plan to use the sample results to testFred’s claim. Assume that Fred’s workout times are normally distributed.

Required:
Set up an appropriate hypothesis test to test Fred's claim. Use a significance level of 5%. Should Fred's claim be rejected? Explain.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

population mean = 150

Sample size  = 10

Sample mean = 136

Standard deviation = 28

Significance level = 0.05

The null hypothesis:

[tex]H_o : \mu \ge 150[/tex]

The alternative hypothesis

[tex]H_a : \mu < 150[/tex]

This is a left-tailed test.

The t-test statistics can be computed as:

[tex]t = \dfrac{\overline x - \mu}{ \dfrac {s} {\sqrt{n}} }[/tex]

[tex]t = \dfrac{136 - 150}{ \dfrac {28} {\sqrt{150}} }[/tex]

t = -1.58

The P-value = P(t < -1.58)

Using the t tables

P-value = 0.0743

Decision rule: To reject the null hypothesis if the P-value is lesser than the level of significance.

Conclusion: We fail to reject the null hypothesis; since P-value is greater than (∝). Thus, there is sufficient evidence to support Fred's Claim.

No, we can not reject Fred's claim.


Related Questions

Simplify y ^2 over 6y^5.

Answers

Answer:

1/6y^3

Step-by-step explanation:

Answer:

1/6y^3

Step-by-step explanation:

cancel the common factor of y^2 and y^5

a sequence of payment made at equal time period is a/an'????​

Answers

Answer:

Annuity.

Step-by-step explanation:

A sequence of payment made at equal time period is called an annuity.

Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Additionally, the time period between each payment is called payment period.

The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.

Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22

Answers

Step-by-step explanation:

11x² + 33x + 22

= 11(x² + 3x + 2)

= 11(x + 1)(x + 2).

+
2
8
2
Least multiple that is the sam
Add using renamed fractions

Answers

Answer:

no

Step-by-step explanation:

PLS HELP!!!! WILL GIVE BRAINLIEST!!!!

Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for
(0,4)
(-3,0)

Answers

(3,0) (-4,0)

not for sure but still mark brainliest cause i need it ✋ im doing bad rn

40 POINTS PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Y = 10

C = 40

D = 76

Answer: Okay found the answer hope I am not too late

Step-by-step explanation:

Y is 10

C is 40

D is 76

Hope this helps!

45x - 18 factored i really need help

Answers

45x - 18 factored I really need help
Can be rewritten as
9(5x--2)

Given the following formula, solve for v.
S=1/2a2v+c

Answers

Answer:

Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.

s = 1/2a^2*v+c

First you need to subtract c from both sides to get

s-c = 1/2a^2*v

then you can just divide both sides by 1/2a^2 to get v

(2(s-c))/a^2=v

when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.

Step-by-step explanation:

Coupd someone help me with this? (picture)​

Answers

Answer:

2x3 = 6

6x14 = ...

Step-by-step explanation:

All the solutions with a + in them are not applicable to this multiplication

What’s the answer pls

Answers

Answer:

168.75 because u put a dot infront of 32 divide it by 54

527856 \ 8

How do I solve this with long division to find my quotient?

Answers

Answer:

65,982

Step-by-step explanation:

Look at the attached image for the step by step solution

The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.

why an expression to represent a total area as a some of the areas of each room

Answers

the blanks should be 7 and 4

Answer:

11 and 4

Step-by-step explanation:

Bea is buying pens and pencils. Pens cost $2 and pencils cost $1. She plans on spending no more than $10 and wants to buy at least 10 items. Which two inequalities model this situation?

Answers

Well each pen costs $2 and each pencil costs $1.

One of the equations would be

2p + 1c ≤ 10

She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.

1c ≤ 10 c = 10

1(10) ≤ 10

10 ≤ 10

Now for the pens

2p ≤ 10

2. 2

P = 5

5 ≤ 10

Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.

Mia went to the art store and bought 2 poster boards and 3 markers. She spent A total of $6.50. The total tax was $1.25. How much did each marker cost? *

Answers

The answer is $1.05 but this is only right if the posters cost the same amount as the markers.

Solve the problem using long division

Answers

Answer and Step-by-step explanation:

[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]

       

        1m     -5

         ____________

[tex]m+2 |m^{2} - 3m - 7[/tex]

    - m^2 + 2m

___________________

               -5m   - 7

            - -5m   - 10

___________________

                           3

(The negatives cancel out).

[tex]m - 5 + \frac{3}{m+2}[/tex]   <- This is the answer.

#teamtrees #WAP (Water And Plant)

if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?

Answers

There are 50 oranges in the box.

Could someone answer and explain. Will mark the brainliest

Answers

Answer: I think you’re right??

Step-by-step explanation:

9/12 = 3/D O D = 6 O D = 4 O D = 5 O D - 10

Answers

Answer:

The answer would be D = 4 or option 2.

Step-by-step explanation:

9/12 = 3/?

First, you want to simplify 9/12

9/12 = 3/4

This shows you that D = 4

Tickets for an upcoming concert are sold out but a local charity is having a raffle and the prize is a pair of tickets to the concert. One hundred people enter the raffle, so each individual who entered has 1/100 probability of winning the pair of tickets. You and a friend both entered. What is the probability that one or the other of you wins the tickets

Answers

Answer:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

Step-by-step explanation:

Represent the event that you win with A and the even that your friend win with B.

So, we have:

[tex]P(A) = \frac{1}{100}[/tex]

[tex]P(B) = \frac{1}{100}[/tex]

Required

Calculate P(A or B)

Both events are mutually exclusive.

So:

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

Substitute values for P(A) and P(B)

[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]

Take LCM

[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]

[tex]P(A\ or\ B) = \frac{2}{100}[/tex]

Simplify:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

the jet stream is a wind current that flows across the US from west to east. Flying with the jet stream, an airplane flew 2700 miles in 4.5 hours. Against the same wind, the return trip took 6 hours. Find the speed of the plane in stil air and the speed of the jet stream.

Answers

Answer:

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Step-by-step explanation:

From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:

Flight with the jet stream

[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]

[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)

Flight against the jet stream

[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]

[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)

The solution of this system of linear equations is:

[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

hich expression is equivalent to -4(7 - 2m) + 11m?

Answers

Answer:

[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]

Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.

triangle sum theorem
i will give brainliest

Answers

Answer:

The answer is b=128

Step-by-step explanation:

25+27=52

180-52=128

Answer:

∠A + ∠B + ∠C = 180°

⇒ 25° + 27° + ∠B= 180°

⇒ 52° + ∠B= 180°

Subtract both sides by 172°

⇒ 52° – 52° + ∠B = 180° – 52°

Therefore, ∠B = 128°

Can someone help pls ASAP running out of time

Answers

Answer:  The correct answer is A

Step-by-step explanation:

If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4

1/4 x 5/1 = 5/4

✩brainliest appreciated ✩

Can someone help me?

Answers

Answer:

with what

Step-by-step explanation:

dont see nothinfg

Answer:BD equals CE? Are lines parallel

Step-by-step explanation:

PLEASE HELP ASAP!!! awarding a lot of points!

Answers

Exact Form:

x=5/4

Decimal Form:

x=1.25

Mixed Number Form:

x= 1 1/4

The correct answer is,

[tex]x = \frac{5}{2} [/tex]

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Can anyone help me pls

Answers

75%

Explain: count all the items in the list then count the caps and yo-yos together.
That’ll be 6/8 which is 75%
75% because there is 6/8 you will get the yo yo or the other one. so you put 6/8 = ?/100. you multiply 100 with 6 then divide 600 with 8

Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?

Answers

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

List all the factors.
48

Answers

Answer:

Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Answer:

1,2,3,4,6,8,12,16,24,48

Step-by-step explanation:

which expression is equivalent to (2m+3)+(m-1)?
A.5m
B.3m + 2
C.2m+2
D.3m-2

Answers

Answer:

i think the correct is D so 3m-2

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