Answer:
At 0.05 significance level, the p-value is 0.014
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 3 minutes
Sample mean, = 3.11 minutes
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, σ = 0.5 minutes
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Now, we calculate the p-value from the normal standard z-table.
P-value = 0.014
At 0.05 significance level, the p-value is 0.014