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 = 0.01, 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 7 9. 10 D Sprint time (without nap) Sprint time (with nap) 3.86 3.98 3.90 3.97 4.06 3.84 3.96 3.97 3.82 3.86 4.01 4.06 3.97 4.04 4.08 3.96 4.09 4.08 3.93 4.01 (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.) O A. t> O B. t< OC te or t>

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​(b) Find the critical​ value(s) and identify the rejection​ region(s). (c) Calculate d and sd. ​(d) Find the standardized test statistic t. ​(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
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 = 0.01, 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
6.
10 D
Sprint time (without
nap)
Sprint time (with nap) 3.86 3.98 3.90 3.97 4.06 3.84 3.96 3.97 3.82 3.86
4.01 4.06 3.97 4.04 4.08 3.96 4.09 4.08 3.93 4.01
(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.)
O A. t>
O B. t<
O C. t<
or t>
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 = 0.01, 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 6. 10 D Sprint time (without nap) Sprint time (with nap) 3.86 3.98 3.90 3.97 4.06 3.84 3.96 3.97 3.82 3.86 4.01 4.06 3.97 4.04 4.08 3.96 4.09 4.08 3.93 4.01 (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.) O A. t> O B. t< O C. t< or t>
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