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 hõurs of sleep. 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. 1 3 4 6 8 9 10 Male Sprint time (without nap) Sprint time (with nap) 3.98 3.92 4.09 3.93 4.06 4.01 4.03 4.09 4.01 3.96 3.84 3.85 4.00 3.88 4.04 3.88 3.87 3.97 3.92 3.82 (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< or t> O B. t< OC. t> 2.821 (c) Calculate d and sg. d = 0.101 (Round to three decimal places as needed.) Calculate sa. Sa = 0.012 (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 2GP
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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 lable snoWS
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 dic
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.
7
10
Male
Sprint time (without
nap)
Sprint time (with nap)
1
2
3
4
3.98 3.92 4.09 3.93 4.06 4.01 4.03 4.09 4.01 3.96
3.84 3.85 4.00 3.88 4.04 3.88 3.87 3.97 3.92 3.82
(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<
or t>
O B. t<
OC. t> 2.821
(c) Calculate d and sg.
d = 0.101 (Round to three decimal places as needed.)
Calculate sd.
Sa = 0.012 (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 lable snoWS 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 dic 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. 7 10 Male Sprint time (without nap) Sprint time (with nap) 1 2 3 4 3.98 3.92 4.09 3.93 4.06 4.01 4.03 4.09 4.01 3.96 3.84 3.85 4.00 3.88 4.04 3.88 3.87 3.97 3.92 3.82 (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< or t> O B. t< OC. t> 2.821 (c) Calculate d and sg. d = 0.101 (Round to three decimal places as needed.) Calculate sd. Sa = 0.012 (Round to three decimal places as needed.)
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