Answer:
We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 5 minutes
Sample mean, = 4.61 minutes
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 0.75 minutes
a) First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
b) Formula:
Putting all the values, we have
c) Now, we calculate the p-value using the standard table.
P-value = 0.0638
d) Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.
Option a) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05.