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 α=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. 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 tosprint 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? Assumethe samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below.Male12346789Sprint time (withoutnap)Sprint time (with nap)4.03 3.93 4.07 4.03 4.08 3.91 4.08 4.01 3.94 4.054.02 3.94 4.05 4.05 4.06 3.88 4.09 4.00 3.95 4.02(a) Identify the claim and state Ho and Ha.What is the claim?O A. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters.B. A night with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters.O C. Anight with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters.D. A post-lunch nap increases the amount of time it takes males to sprint 20 meters.LetHdbe the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H,?O A. Ho: Hd = 0Hai Hd #0O B. Ho: Hd s0Ha: Ha >0C. Ho: Ha sdHa: Hd >dO D. Ho: Hd 2dHa: Ha В. t>O C. t<(c) Calculate d and sd.d= (Round to three decimal places as needed.)Calculate sd.Sa = |(Round to three decimal places as needed.)%3D(d) Find the standardized test statistic t.t=(Round to three decimal places as needed.)(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.the null hypothesis. ThereV enough evidence tothe claim that athe amount of time it takes males to sprint 20 meters.

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Description: 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 ni

(a) Identify the correct option for the claim. The claim is identified below as follows: It…

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. 1 2 5 6 7 | 8 9 10 P Male Sprint time (without nap) Sprint time (with nap) 3 4 4.03 3.93 4.07 4.03 4.083.91 4.08 4.01 3.94 4.05 4.02 3.94 4.05 4.05 4.06 3.88 4.09 4.00 3.95 4.02 (a) Identify the claim and state H, and Hg. What is the claim? O A. A post-lunch nap decreases the amount of time it takes males to sprint 20 meters. O B. Anight with only 4 hours of sleep decreases the amount of time it takes males to sprint 20 meters. O C. Anight with only 4 hours of sleep increases the amount f time it takes males to sprint 20 meters. O D. A post-lunch nap increases the amount of time it takes males to sprint 20 meters. Let ug be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H? OC. Ho: Ha sa Hai H>d OF. Ho: Ha20 Hai Ho 0 O D. Ho: Hazd O E. Ho: Ha #0 Hai Hd =0 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in any answer boxes (Round to three decimal places as needed.) your choice O A. t< or t> O B. t> OC. t< (c) Calculate d and sg. d=N (Round to three decimal places as needed.) Calculate sa. (Round to three decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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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 α=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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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