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 = 0.10, 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) Sprint time (with nap) 1 2 3| 4 5 6 78 9 10 - 4.07 3.95 3.95 4.04 4.02 4.09 4.06 3.96 3.95 3.93 3.92 3.86 3.88 3.97 4.01 4.00 3.90 3.82 3.86 3.80 (a) Identify the claim and state Ho and Ha What is the claim? O A. A post-lunch nap decreases the amount of time takes males to sprint 20 meters. O B. Anight with only 4 hours of sleep increases the amount time it takes males to sprint 20 meters. OC. A post-lunch nap increases the amount of time it takes males to sprint 20 meters. O D. Anight with only 4 hours sleep decreases the amount of time it takes males to sprint 20 meters. Let u be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H,? O A. Ho: Ha =0 Hai Ho #0 O D. Ho: Hg zd O B. Ho: Ha #0 Ha: Hd =0 OC. Ho: Ha s0 Ha: H >0 OF. Ho: Ha sa O E. Ho: Ha 20 Hai Hd <0 (b) Find the critical value(s) and identify the rejection region(s). o complete your choice. Select the correct choice below and fill in any answer boxes (Round to three decimal places as needed.) OA t< O B. t> OC. t< or t>
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 = 0.10, 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) Sprint time (with nap) 1 2 3| 4 5 6 78 9 10 - 4.07 3.95 3.95 4.04 4.02 4.09 4.06 3.96 3.95 3.93 3.92 3.86 3.88 3.97 4.01 4.00 3.90 3.82 3.86 3.80 (a) Identify the claim and state Ho and Ha What is the claim? O A. A post-lunch nap decreases the amount of time takes males to sprint 20 meters. O B. Anight with only 4 hours of sleep increases the amount time it takes males to sprint 20 meters. OC. A post-lunch nap increases the amount of time it takes males to sprint 20 meters. O D. Anight with only 4 hours sleep decreases the amount of time it takes males to sprint 20 meters. Let u be the hypothesized mean of the difference in the sprint times (without nap - with nap). What are Ho and H,? O A. Ho: Ha =0 Hai Ho #0 O D. Ho: Hg zd O B. Ho: Ha #0 Ha: Hd =0 OC. Ho: Ha s0 Ha: H >0 OF. Ho: Ha sa O E. Ho: Ha 20 Hai Hd <0 (b) Find the critical value(s) and identify the rejection region(s). o complete your choice. Select the correct choice below and fill in any answer boxes (Round to three decimal places as needed.) OA t< O B. t> OC. t< or t>
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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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.
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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 nap and when they did take a post-lunch nap. At a = 0.10, 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
2
3
4
5
6
7
8
9
10 P
Sprint time (without
nap)
Sprint time (with nap)
4.07 3.95 3.95 4.04 4.02 4.09 4.06 3.96 3.95 3.93
3.92 3.86 3.88 3.97 4.01 4.00 3.90 3.82 3.86 3.80
(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 increases the amount of time it takes males to sprint 20 meters.
O C. A post-lunch nap increases the amount of time it takes males to sprint 20 meters.
D. A night with only 4 hours of sleep decreases 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 H, and H,?
O A. Ho: Hd = 0
Ha: Hd #0
OC. Ho: Hd s0
Hai Hd>0
B. Ho: Hd +0
Hai Hd
= 0
O D. Ho: Hd 2d
Hai Ha <d
E. Ho: Hd 20
Ha: Ha <0
O F. Ho: Hd sa
Hai Hd >d
(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<
O B. t>
C. t<
or t>
Transcribed Image Text:(c) Calculate d and sg.
d =
(Round to three decimal places as needed.)
Calculate sa.
Sa =
(Round to three decimal places as needed.)
(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. There
enough evidence to
the claim that a
the amount of time it takes males to sprint 20 meters.
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