Answer:
1) A. H0: μ ≥ 7.2; H1: μ < 7.2
2) D. Reject H0 if z < –1.645
3)
4)
Step-by-step explanation:
Information provided
represent the sample mean for the number of movies watched last month
represent the population deviation
sample size selected
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic
represent the p value for the test
1) System of hypothesis
We want to check if college students watch fewer movies a month than high school students, and the best system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
A. H0: μ ≥ 7.2; H1: μ < 7.2
2) Decision rule
For this case we are ocnduting a left tailed test so then we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the left and we got:
And the rejection zone would be:
D. Reject H0 if z < –1.645
3) Statistic
Since we know the population deviation the statistic is given by:
(1)
Replacing we got:
4) P value
We have a left tailed test then the p value would be: