A researcher daims 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 metes afer 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 a=0.05, is there enough evidence to support the researcher's dlaim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. 6 8 4.01 3.94 4.03 4.04 4.02 3.94 4.07 3.97 4.07 3.97 2 Sprint time (without (deu Sprint time (with nap) 3.89 3.88 3.96 3.99 3.99 3.82 3.92 3.85 3.95 3.84 (a) Identify the claim and state Ho and H- What is the claim? O A. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters. O B. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters. O C. A post-lunch nap increases the amount of time it takes males to sprint 20 meters. OD. Anight with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters. Let Ha be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H7 O B. Ho: Ha F0 0s PrH :H VO O< Pri :"H 0= Pri :"H ps Pri :0H a O P< Prt :"H 0z Prl :H 30 0> PrH :H 0= Pr :H 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 researcher daims 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 metes afer 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 a=0.05, is there enough evidence to support the researcher's dlaim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. 6 8 4.01 3.94 4.03 4.04 4.02 3.94 4.07 3.97 4.07 3.97 2 Sprint time (without (deu Sprint time (with nap) 3.89 3.88 3.96 3.99 3.99 3.82 3.92 3.85 3.95 3.84 (a) Identify the claim and state Ho and H- What is the claim? O A. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters. O B. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters. O C. A post-lunch nap increases the amount of time it takes males to sprint 20 meters. OD. Anight with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters. Let Ha be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H7 O B. Ho: Ha F0 0s PrH :H VO O< Pri :"H 0= Pri :"H ps Pri :0H a O P< Prt :"H 0z Prl :H 30 0> PrH :H 0= Pr :H 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 a= 0.05, 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.
3
4 5
6 7
O OL
4.01 3.94 4.03 4.04 4.02 3.94 4.07 3.97 4.07 3.97
Sprint time (without
(deu
Sprint time (with nap)
3.89 3.88 3.96 3.99 3.99 3.82 3.92 3.85 3.95 3.84
(a) Identify the claim and state Ho and Ha
What is the claim?
O A. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters.
O B. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters.
O C. A post-lunch nap increases the amount of time it takes males to sprint 20 meters.
O D. A night with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters.
Let Ha be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H,7
05 Pri :0H VO
0< Prl :"H
0+ Pri :0H "8 O
0= Pri :"H
p> Prt :H
0= Prl :0H 3O
ps Pri :H a O
p< Prl :"H
0z Prl :0H 30
0> Prt :"H
(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.)
Transcribed Image Text: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 a=0.05, is there enough evidence
population is normally distributed. Complete parts (a) through (e) below.
support the researcher's claim? Assume the samples are random and dependent, and the
5
9 10 3
Male
Sprint time (without
nap)
Sprint time (with nap)
2
3
4
8
4.01 3.94 4.03 4.04 4.02 3.94 4.07 3.97 4.07 3.97
3.89 3.88 3.96 3.99 3.99
3.82 3.92 3.85 3.95 3.84
Select the correct choice below and fill in any answer boxes to complete your choice.
(Round to three decimal places as needed.)
O A. t<
O B. t>
OC. t< ort>
(c) Calculate d and sa-
d= (Round to three decimal places as needed.)
Calculate sa-
S. =
(Round to three decimal places as needed.)
(d) Find the standardized test statistic t.
t= (Round to three decimal places as needed.)
the context of the original claim.
(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision
the amount of time it takes males to sprint 20 meters.
V the null hypothesis. There
V enough evidence to
V the claim that a
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