Question

A researcher claims that a​ post-lunch nap decreases the amount of time it takes males to...

A researcher claims that a​ post-lunch nap decreases the amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time​ (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a​ post-lunch nap and when they did take a​ post-lunch nap. At

alphaαequals=0.01​,

is there enough evidence to support the​ researcher's claim? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (e) below.

Male

1

2

3

4

5

6

7

8

9

10

Sprint time​ (without nap)

3.99

4.02

3.98

4.01

3.97

3.92

3.92

4.07

3.98

3.98

Sprint time​ (with nap)

3.97

4.01

3.95

4.04

3.94

3.91

3.93

4.06

3.97

3.95

​(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the​ claim?

A.

A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters.

B.

A​ post-lunch nap decreases the amount of time it takes males to sprint 20 meters.

C.

A night with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters.

D.

A​ post-lunch nap increases the amount of time it takes males to sprint 20 meters.

Let

mu Subscript dμd

be the hypothesized mean of the difference in the sprint times​ (without

napminus−with

​nap). What are

Upper H 0H0

and

Upper H Subscript aHa​?

A.

Upper H 0H0​:

mu Subscript dμdgreater than or equals≥d overbard

Upper H Subscript aHa​:

mu Subscript dμdless than<d overbard

B.

Upper H 0H0​:

mu Subscript dμdgreater than or equals≥0

Upper H Subscript aHa​:

mu Subscript dμdless than<0

C.

Upper H 0H0​:

mu Subscript dμdnot equals≠0

Upper H Subscript aHa​:

mu Subscript dμdequals=0

D.

Upper H 0H0​:

mu Subscript dμdequals=0

Upper H Subscript aHa​:

mu Subscript dμdnot equals≠0

E.

Upper H 0H0​:

mu Subscript dμdless than or equals≤d overbard

Upper H Subscript aHa​:

mu Subscript dμdgreater than>d overbard

F.

Upper H 0H0​:

mu Subscript dμdless than or equals≤0

Upper H Subscript aHa​:

mu Subscript dμdgreater than>0

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

Select the correct choice below and fill in any answer boxes to complete your choice.

​(Round to three decimal places as​ needed.)

A.

tless than<nothing

B.

tless than<nothing

or

tgreater than>nothing

C.

tgreater than>nothing

​(c) Calculate

d overbard

and

s Subscript dsd.

d overbardequals=nothing

​(Round to three decimal places as​ needed.)Calculate

s Subscript dsd.

s Subscript dsdequals=nothing

​(Round to three decimal places as​ needed.)

​(d) Find the standardized test statistic t.

tequals=nothing

​(Round to three decimal places as​ needed.)

​(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

Reject

Fail to reject

the null hypothesis. There

is not

is

enough evidence to

support

reject

the claim that a

night with only 4 hours of sleepnight with only 4 hours of sleep

post dash lunch nappost-lunch nap

decreases

increases

the amount of time it takes males to sprint 20 meters.

Click to select your answer(s).

Homework Answers

Answer #1

e)

since, t < 1.833 we fail to reject the null hypothesis.

There is no enough evidence to support the claim that a night with only 4 hours sleepnight of sleep post lunch nap decreases the amount of time it take males to Sprint 20 meters.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A researcher claims that a​ post-lunch nap decreases the amount of time it takes males to...
A researcher claims that a​ post-lunch nap decreases the amount of time it takes males to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time​ (in seconds) it took for 10 males to sprint 20 meters after a night with only 4 hours of sleep when they did not take a​ post-lunch nap and when they did take a​ post-lunch nap. At alphaαequals=0.050.05​, is there enough evidence to support the​...
The table below shows the number of hours per day 11 patients suffered from headaches before...
The table below shows the number of hours per day 11 patients suffered from headaches before and after 7 weeks of soft tissue therapy. At alphaαequals=​0.01, is there enough evidence to conclude that soft tissue therapy helps to reduce the length of time patients suffer from​ headaches? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (f). Patient   Daily headache hours (before)   Daily headache hours (after) 1   3.1   2.4 2   1.8   2.2...
The lengths of time? (in years) it took a random sample of 3232 former smokers to...
The lengths of time? (in years) it took a random sample of 3232 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 4.24.2 years. At alpha?equals=0.060.06?, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 1414 ?years? Complete parts? (a) through? (e). 21.621.6 21.721.7 20.720.7 7.47.4 21.121.1 14.214.2 12.812.8 15.215.2 10.410.4 16.216.2 15.515.5 20.320.3 16.216.2 17.517.5 19.419.4 13.513.5 20.320.3 20.820.8 10.110.1 15.215.2 10.310.3 22.222.2...
An insurance agent randomly selected 10 of his clients and checked online price quotes for their...
An insurance agent randomly selected 10 of his clients and checked online price quotes for their policies. His summaries of the data are​ shown, where Diff is Local-Online. Variable Count Mean StdDev Local 10 901.700 372.804 Online 10 844.300 308.623 Diff 10 57.4000 180.760 Test an appropriate hypothesis to see if there is evidence that drivers might save money by switching to an online agent. Use alpha=0.050 dentify the null and alternative hypotheses. Choose the correct answer below. A. Upper...
A politician claims that the mean salary for managers in his state is more than the...
A politician claims that the mean salary for managers in his state is more than the national? mean, ?81,000. Assume the the population is normally distributed and the population standard deviation is ?$9000. The salaries? (in dollars) for a random sample of 30 managers in the state are listed. At ?=0.1?, is there enough evidence to support the? claim? Use technology 97,114 79,642 71,801 88,955 76,739 75,497 95,067 95,523 94,043 80,146 96,239 90,034 94,963 76,493 83,155 92,796 71,584 94,954 81,307...
Write the null and alternative hypotheses. Identify which is the claim. A light bulb manufacturer claims...
Write the null and alternative hypotheses. Identify which is the claim. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more thanmore than 725725 hours. Choose the correct null and alternative hypotheses below. A. Upper H 0H0​: muμgreater than>725725 Upper H Subscript aHa​: muμless than or equals≤725725 B. Upper H 0H0​: muμless than or equals≤725725 Upper H Subscript aHa​: muμgreater than>725725 C. Upper H 0H0​: muμgreater than or equals≥725725 Upper H Subscript...
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​...
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x overbar 1x1equals=1414​, s 1s1equals=2.42.4​, n 1n1equals=1818​, x overbar 2x2equals=1515​, s 2s2equals=2.42.4​, n 2n2equals=1818 a.​ Two-tailed test, alphaαequals=0.050.05 b. 9595​% confidence interval a.​ First, what are the correct hypotheses for a​ two-tailed test? A. Upper H 0H0​: mu 1μ1equals=mu 2μ2 Upper H Subscript aHa​: mu 1μ1not...
A group says that the mean daily lodging cost for a family traveling in Region 1...
A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in Region 2. The mean daily lodging cost for 3939 families traveling in Region 1 is ​$141141 with a population standard deviation of ​$2424. The mean daily lodging cost for 3939 families traveling in Region 2 is ​$135135 with a population standard deviation of ​$2525. At alpha equals 0.10 commaα=0.10, is there enough evidence to reject the​ group's claim? Complete...
The lengths of time​ (in years) it took a random sample of 3232 former smokers to...
The lengths of time​ (in years) it took a random sample of 3232 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 6.96.9 years. At alphaαequals=0.020.02​, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 1414 ​years? Complete parts​ (a) through​ (e). 10.810.8 19.519.5 8.18.1 17.117.1 20.320.3 13.613.6 8.68.6 16.516.5 20.320.3 7.77.7 20.720.7 13.713.7 16.716.7 21.221.2 15.615.6 8.38.3 16.716.7 21.921.9 22.422.4 12.212.2 18.418.4 17.917.9...
The dean of a university estimates that the mean number of classroom hours per week for​...
The dean of a university estimates that the mean number of classroom hours per week for​ full-time faculty is 11.011.0. As a member of the student​ council, you want to test this claim. A random sample of the number of classroom hours for eight​ full-time faculty for one week is shown in the table below. At alphaαequals=0.100.10​, can you reject the​ dean's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 10.810.8 9.49.4 12.712.7 6.16.1 4.94.9...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • MS KP MM Corporation is a manufacturer that produces cosmetics. The following information has been taken...
    asked 5 minutes ago
  • Dr. Bunson Honeydew and Dr. Strangepork both wanted to know how effective TV ads were at...
    asked 6 minutes ago
  • 1)  Consider the following temperature surroundings. Ground level, 21oC; 500m, 20oC; 600m, 19oC; 1000m, 20oC. If we...
    asked 12 minutes ago
  • 1. An AA iron-nickel battery delivers a constant current of 750 mA at 1.2 V (a)Calculate...
    asked 16 minutes ago
  • In the process of recrystallization, after dissolving the product in hot methanol, why do we have...
    asked 30 minutes ago
  • Finish buildFloat(): It does three things: Given exponent it computes exponentPattern. If exponent is less than...
    asked 30 minutes ago
  • A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in...
    asked 40 minutes ago
  • Training Goal: Based on Enterprise business strategy and goals develop several training goals based on your...
    asked 40 minutes ago
  • Let f(x) = 5x2 + x − 2. Use the limit definition of f′(a) and the...
    asked 40 minutes ago
  • "Discuss whether free market is necessarily efficient. Give some examples to illustrate the limitations of government...
    asked 1 hour ago
  • Three separate random samples of students (one sample selected from each of three different colleges) were...
    asked 1 hour ago
  • , NEED ANSWER ASAP / ANSWER NEVER USED BEFORE, COMPLETELY NEW ANSWER PLEASE Discuss an example...
    asked 1 hour ago