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-001, 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 tame (without nap) Sprint time (with naph 2 4.01 3.93 3.95 406 306 4.06 3.03 4.05 3.97 3.95 4.00 3.03 304 4.05 3.00 4.04 3.94 4.02 3.08 3.02 (a) identify the claim and state H, and H. What is the claim? AA post lunch nap decreases the amount of time it takes males to sprint 20 meters OB A post-lunch nap increases the amount of time it takes males to sprint 20 meters OC Anight with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters 00. Anght with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters Let p be the hypothesized mean of the difference in the sprint times (without nap-with nap). What are H, and H.? 12140 16:14+0 (b) Find the critical value(s) and identify the rejection region(s) Select the correct choice below and in any answer boxes to complete your choice (Round to two decimal places as needed) OR I ОС осна OB. H₂ 12₂ #0 16:450 OF 1420
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-001, 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 tame (without nap) Sprint time (with naph 2 4.01 3.93 3.95 406 306 4.06 3.03 4.05 3.97 3.95 4.00 3.03 304 4.05 3.00 4.04 3.94 4.02 3.08 3.02 (a) identify the claim and state H, and H. What is the claim? AA post lunch nap decreases the amount of time it takes males to sprint 20 meters OB A post-lunch nap increases the amount of time it takes males to sprint 20 meters OC Anight with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters 00. Anght with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters Let p be the hypothesized mean of the difference in the sprint times (without nap-with nap). What are H, and H.? 12140 16:14+0 (b) Find the critical value(s) and identify the rejection region(s) Select the correct choice below and in any answer boxes to complete your choice (Round to two decimal places as needed) OR I ОС осна OB. H₂ 12₂ #0 16:450 OF 1420
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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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 rap 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)
2
4 5
10
4.01 3.93 3.95 4.05 3.06 4.06 3.03 4.05 3.07 3.95
Sprint time (with nap 4.00 3.03 3.94 4.05 3.93 4.04 3.94 4.02 3.98 3.92
(a) Identify the claim and state H, and H.
What is the claim?
A A post-lunch nap decreases the amount of time it takes males to sprint 20 meters.
OB A post-lunch nap increases the amount of time it takes males to sprint 20 meters
OC. A night with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters.
OD Anight with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters.
Let p be the hypothesized mean of the difference in the sprint times (without nap-with nap). What are H, and H₂?
00. H₂4-0
(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)
OB. H₂ M₂ #O
H₁₂-0
OE H₂ 20
осна
F. H₂: 150
H₂ 140
OA tel
OC P
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