Is the average amount of time spent sleeping each day different between male and female students? Which...

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Statistics

Is the average amount of time spent sleeping each day differentbetween male and female students?
Which hypothesis test is the most appropriate to use in thisproblem? Why? (Note: if you are doing a 2-sample t-test, make sureyou state which one you are doing and why.) If the test you chosehas a t-statistic, report it here with degrees of freedom. If itdoes not, state that the test you chose does not have atest-statistic. Give and interpret an appropriate 95% confidenceinterval for the difference in population mean time spent sleepingeach day between male and female students.
sex sleep
Female 540
Male 420
Female 450
Female 420
Female 480
Female 420
Male 400
Male 420
Female 480
Female 480
Male 360
Female 500
Female 270
Female 480
Male 540
Female 420
Male 360
Male 420
Male 480
Male 480
Male 420
Male 560
Male 280
Male 570
Male 480
Male 480
Male 420
Male 420
Male 480
Male 360
Male 480
Male 480
Female 360
Male 480
Male 480
Female 480
Male
Female 480
Male 465
Male 500
Male 420
Male 420
Female 600
Female 480
Female 420
Female 480
Female 480
Male 480
Female 480
Female 480
Female 300
Female 540
Female 420
Male 480
Female 480
Female 360
Female 480
Male 480
Male 450
Male 420
Male 480
Male
Female 540
Female 420
Male 450
Male 360
Female 480
Male 360
Male 540
Female 480
Male 420
Male 480
Male 240
Female 480
Male 420
Female 420
Female 450
Female 380
Male 540
Female 480
Female
Male
Male 480
Male 420
Female 420
Male 360
Female 540
Male 420
Male 480
Male 420
Female 450
Male 480
Female
Female 480
Male 560
Male 480
Male 540
Male 420
Male 480
Male 480
Female 450
Female 480
Female 450
Female 420
Female 480
Male 420
Female 540
Female 480
Male
Male 360
Female 720
Female 480
Male 300
Male 360
Male 420
Female 420
Male 540
Male 480
Female 480
Male 420
Male 420
Male 480
Female 360
Female 460
Female 480
Male 420
Female 420
Male 480
Male 360
Male 480
Female 420
Female 420
Female 490
Female 450
Male 460
Male 540
Male 450
Male 400
Female 360
Male 420
Male 500
Female 420
Male 390
Male 450
Male 500
Female 480
Male 540
Male 480
Male 540
Female 480
Male 480
Male
Female 500
Female 600
Male 540
Male 480
Female 600
Female 420
Female 480
Male 420
Male 480
Female 300
Male 420
Male 400
Female 330
Male 390
Male
Male 480
Female 480
Male 450
Male 420
Male 420
Male 480
Female 480
Female 450
Female 480
Female 420
Male 420
Male 480
Female 390
Female 360
Male 450
Male 480
Female 480
Female 480
Male 380
Male 360
Female 480
Male 420
Female 420
Male 360
Male 440
Male
Male 390
Female 420
Female 720
Female 480
Female 480
Female 480
Female 420
Female 360
Male 480
Male 420
Male 400
Male 480
Female 420
Male 480
Female 420
Female 480
Male 300
Male 480
Female 300
Female 450
Female 480
Male 450

Answer & Explanation Solved by verified expert

3.6 Ratings (580 Votes)

a Hypothesis test Since the population standard deviation is not known we conduct t test for independent samples Female n 94 xbar 45723 s 7185 Male n 112 xbar 44496 s 6055 Data n1 94 n2 112 x1bar 45723 x2bar 44496 s1 7185 s2 6055 Hypotheses Ho 1 2 Ha 1 2 Decision Rule 005 Degrees of freedom 94 112 2 204 Lower See Answer

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sex	sleep
Female	540
Male	420
Female	450
Female	420
Female	480
Female	420
Male	400
Male	420
Female	480
Female	480
Male	360
Female	500
Female	270
Female	480
Male	540
Female	420
Male	360
Male	420
Male	480
Male	480
Male	420
Male	560
Male	280
Male	570
Male	480
Male	480
Male	420
Male	420
Male	480
Male	360
Male	480
Male	480
Female	360
Male	480
Male	480
Female	480
Male
Female	480
Male	465
Male	500
Male	420
Male	420
Female	600
Female	480
Female	420
Female	480
Female	480
Male	480
Female	480
Female	480
Female	300
Female	540
Female	420
Male	480
Female	480
Female	360
Female	480
Male	480
Male	450
Male	420
Male	480
Male
Female	540
Female	420
Male	450
Male	360
Female	480
Male	360
Male	540
Female	480
Male	420
Male	480
Male	240
Female	480
Male	420
Female	420
Female	450
Female	380
Male	540
Female	480
Female
Male
Male	480
Male	420
Female	420
Male	360
Female	540
Male	420
Male	480
Male	420
Female	450
Male	480
Female
Female	480
Male	560
Male	480
Male	540
Male	420
Male	480
Male	480
Female	450
Female	480
Female	450
Female	420
Female	480
Male	420
Female	540
Female	480
Male
Male	360
Female	720
Female	480
Male	300
Male	360
Male	420
Female	420
Male	540
Male	480
Female	480
Male	420
Male	420
Male	480
Female	360
Female	460
Female	480
Male	420
Female	420
Male	480
Male	360
Male	480
Female	420
Female	420
Female	490
Female	450
Male	460
Male	540
Male	450
Male	400
Female	360
Male	420
Male	500
Female	420
Male	390
Male	450
Male	500
Female	480
Male	540
Male	480
Male	540
Female	480
Male	480
Male
Female	500
Female	600
Male	540
Male	480
Female	600
Female	420
Female	480
Male	420
Male	480
Female	300
Male	420
Male	400
Female	330
Male	390
Male
Male	480
Female	480
Male	450
Male	420
Male	420
Male	480
Female	480
Female	450
Female	480
Female	420
Male	420
Male	480
Female	390
Female	360
Male	450
Male	480
Female	480
Female	480
Male	380
Male	360
Female	480
Male	420
Female	420
Male	360
Male	440
Male
Male	390
Female	420
Female	720
Female	480
Female	480
Female	480
Female	420
Female	360
Male	480
Male	420
Male	400
Male	480
Female	420
Male	480
Female	420
Female	480
Male	300
Male	480
Female	300
Female	450
Female	480
Male	450