researcher claims that a post-lunch nap decreases the amount of time it takes males hen they did not take a post-lunch nap and when they did take a post-lunch nap. At a rough (e) below. Male to sprint 20 meters after a night with only 4 hours of sleep. The table shows the amounts of time (in seconds) It took 187 10 Males 18 Sprint 20 meters alter 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) 1 2 3 4 Sprint time (without ap) 4.01 10 3.93 3.95 4.05 3.96 4.06 3.93 4.05 3.97 3.95 5 6 7 8 9 Sprint time (with nap) 4.00 3.93 3.94 4.05 3.93 4.04 3.94 4.02 3.98 3.92 OD. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters. et a be the hypothesized mean of the difference in the sprint times (without nap-with nap). What are Ho and H₂? A. Ho d D. Ho Hd=0 H₂ PO 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 two decimal places as needed.) A. < B. t< ort> C. 1> 2.82 c) Calculate d and Sd (Round to three decimal places as needed) OB. Ho Ha #0 H₂ =0 OE. Ho Hd 20 H₂ P<0 OC. H₂ Hasd F. Hodso H₂ >0

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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
Sprint time (without
nap)
1 2
3
4
5
6
8 9
10
4.01 3.93 3.95 4.05 3.96 4.06 3.93 4.05 3.97 3.95
Sprint time (with nap)
4.00 3.93 3.94 4.05 3.93 4.04 3.94 4.02 3.98 3.92
OD. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters.
Let μ be the hypothesized mean of the difference in the sprint times (without nap-with nap). What are Ho and H₂?
A. Ho: Pyzd
HP <
D. Ho Hd=0
OB. Ho Hd #0
H₂
=0
OE. Ho Hd 20
H₁₂ P<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 two decimal places as needed.)
OA. 1
OB. t<
ort>
C. t> 2.82
(c) Calculated and s
=(Round to three decimal places as needed.)
OC. Ho Hasd
H₂ >
F. Ho HasO
H₂H>O
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 Sprint time (without nap) 1 2 3 4 5 6 8 9 10 4.01 3.93 3.95 4.05 3.96 4.06 3.93 4.05 3.97 3.95 Sprint time (with nap) 4.00 3.93 3.94 4.05 3.93 4.04 3.94 4.02 3.98 3.92 OD. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters. Let μ be the hypothesized mean of the difference in the sprint times (without nap-with nap). What are Ho and H₂? A. Ho: Pyzd HP < D. Ho Hd=0 OB. Ho Hd #0 H₂ =0 OE. Ho Hd 20 H₁₂ P<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 two decimal places as needed.) OA. 1 OB. t< ort> C. t> 2.82 (c) Calculated and s =(Round to three decimal places as needed.) OC. Ho Hasd H₂ > F. Ho HasO H₂H>O
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