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)...

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=0.01​, 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.

Extracted 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 1 2 3 4 6 7 8 10 e Sprint time (without nap) Sprint time (with 3 773 893.993.954.043.813.943.96|3.913.94 nap) 3.923.974.054.024.063.924.084.084.034.07 (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. O B. 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 decreases the amount of time it takes males to sprint 20 meters. O D. A night with only 4 hours of sleep increases the amount of time it takes males to sprint 20 meters. Let Hd be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H,? OC. Ho: Hd sa Ha: H >d OF. Ho: Hd s0 Ha: Hd >0 O B. Ho: Hd 2d Hai Hd

O B. t> O C. t< (c)="" calculate="" d="" and="" sd.="" d="(Round" to="" three="" decimal="" places="" as="" needed.)="" calculate="" sd-="" sd="(Round" to="" three="" decimal="" places="" as="" needed.)="" %d="" (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.="" v="" the="" null="" hypothesis.="" there="" v="" enough="" evidence="" to="" v="" the="" claim="" that="" a="" v="" the="" amount="" of="" time="" it="" takes="" males="" to="" sprint="" 20="">