A researcher claims that a post-lunch nap decreases uie 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. Male nap) Sprint time (without Sprint time (with nap) 3.89 4.01 3.95 3.87 3.94 3.96 3.96 3.78 3.87 3.93 1. 2 3 4 6 7 8 10 o 4.01 4.07 4.02 3.94 3.97 4.08 4.09 3.93 3.96 4.06 O B. Anight with only 4 hours of sleep increases the amount of time i akes males to sprint 20 meters. C, A post-lunch nap decreases the amount of 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 Pg be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are H and H,? c. Ho Pa sd OA. Hg Hg20 H Hg <0 O B. Ho: Ha =0 Ha Ha #0 O D. Ho Ha #0 H H=0 *E. Ho: Ha s0 Ha Ha 0 OF. Ho Hazd (b) Find the critical value(s) and identify the rejection region(s). the corroct choico bolow and fill in any answer boxes to complete vour choice

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.