The Sleep Foundation recommends that people get at least 8 hours of sleep every night. Based on this information, your instructor feels that his students are not getting enough sleep, and claims that they are in fact getting less than the recommended 8 hours of sleep each night.
To test this, on a randomly selected day, he surveyed several classes to determine how much sleep each of his students got the night before. The following data set represents how many hours of sleep 35 randomly selected students reported on the survey from the night before:
7.3
6.0
7.8
5.5
7.3
7.8
8.4
5.3
5.3
9.9
5.5
4.1
6.7
6.9
5.4
8.6
8.5
7.3
9.3
6.8
8.0
9.8
4.3
8.2
7.9
8.7
4.9
3.0
7.9
9.7
6.6
2.5
9.7
6.7
6.1
Test your instructor's claim at a level of significance of 2% using the Classical Method:
The following parts break down the four steps of the Classical Method, which you will use for the hypothesis test in this problem:
A) State the Hypotheses
B) Determine the Test Statistic.
C) Determine the Critical Value.
D) State the conclusion. It should be in terms of the problem (give me more than just Reject Ho or Do Not Reject Ho).
Other Requirements: Here is what I have so far:
For 1. Null Hypothesis (Ho): µ = 8
Alternative Hypothesis (Ha): µ < 8
Level of Significance = 0.02
Sample Mean= 243.7/35 = 6.96
Standard deviation σ =122.77 / 35 = √3.5 = 1.9
For 2. Null Hypothesis (Ho): µ = 0.76
Alternative Hypothesis (Ha): µ < 0.76
Level of Significance = 0.10