A data set includes data from student evaluations of courses. The summary statistics are $n = 90$, $\bar{x} = 3.93$, $s = 0.54$. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
What are the null and alternative hypotheses?
A. $H_0: \mu = 4.00$
$H_1: \mu \neq 4.00$
C. $H_0: \mu = 4.00$
$H_1: \mu < 4.00$
Determine the test statistic
(Round to two decimal places as needed)
Determine the P-value
(Round to three decimal places as needed)
State the final conclusion that addresses the original claim
$H_0$. There is evidence to conclude that the mean of the population of student course evaluations is equal to 4.00 connect
B. $H_0: \mu = 4.00$
$H_1: \mu > 4.00$
D. $H_0: \mu = 4.00$
$H_1: \mu \neq 4.00$
