Answer:
The value of t test statistics is -2.
Step-by-step explanation:
We are given that a study was conducted to determine whether UH students sleep fewer than 8 hours.
The study was based on a sample of 100 students. The sample mean number of hours of sleep was 7 hours and the sample standard deviation was 5 hours.
<u><em>Let </em></u><u><em> = mean number of hours UH students sleep.</em></u>
So, Null Hypothesis, : 8 hours {means that UH students sleep more than or equal to 8 hours}
Alternate Hypothesis, : < 8 hours {means that UH students sleep fewer than 8 hours}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = ~
where, = sample mean number of hours of sleep = 7 hours
s = sample standard deviation = 5 hours
n = sample of students = 100
So, <em><u>test statistics</u></em> = ~
= -2
Hence, the value of t test statistics is -2.