Question

How much sleep are students really getting? You wish to know the true mean hours of sleep for all students at WSU on any given school night. You survey 64 students and find that the sample average is 5.3 hours of sleep. With a known standard deviation of 5 hours and a level of significance of 1%, is the population mean hours of sleep for students at WSU different than 7 hours?

Z Test of Hypothesis for the Mean
Data
Null Hypothesis                       m=	8
Level of Significance	0.01
Population Standard Deviation	5
Sample Size	64
Sample Mean	7
Intermediate Calculations
Standard Error of the Mean	0.6250
Z Test Statistic	-1.6000
Two-Tail Test
Lower Critical Value	-2.5758
Upper Critical Value	2.5758
p-Value	0.1096
Do not reject the null hypothesis

Answer 1

Given, sample size = 64

sample mean = 5.3 hours

Population standard deviation = 5 hours

Significance level = 0.01 (1%)

The null and alternative hypotheses are,

H0 : μ = 7 hours

Ha : μ ≠ 7 hours

From given output we get,

Test statistic = z = -1.60

p-value = 0.1096

Since, p-value = 0.1096 is greater than 0.01 significance level, we fail to reject the null hypothesis.

Therefore, there is not sufficient evidence to conclude that, the population mean hours of sleep for students at WSU different than 7 hours.

Answer : No