Question

A person read that the average number of hours an adult sleeps on Friday to Saturday morning was 7.2 hours. The researcher feels that college students do not sleep 7.8 hours on average. The searcher randomly selects 15 students and found that on average they slept 8.3 hours with a standard deviation of 1.2 hours. What is the value of the t-test statistic?

Answer 1

To test whether college students sleep less than the national average, a one-sample t-test can be used. The t-test statistic can be calculated using the provided values.

Step-by-step explanation:

To test whether college students sleep less than the national average, we can use a one-sample t-test. We can calculate the t-test statistic using the formula:

t = (sample mean - population mean) / (sample standard deviation / square root of sample size)

Substituting the values from the question, we get:

t = (8.3 - 7.8) / (1.2 / sqrt(15))

Calculating this expression gives us the value of the t-test statistic.