Answer:
Meth Barie's ice cream shop should not introduce the new ice cream flavor.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4.01
Sample mean, = 4.4
Sample size, n = 15
Alpha, α = 0.1
Sample standard deviation, s = 1.6 minutes
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Option B) 0.968
Rejection region:
Now,
So the rejection region would be a value of t-statistic greater than 1.345.
Option B) t > 1.345
Conclusion:
Since,
We fail to reject the null hypothesis and accept the null hypothesis. Meth Barie's ice cream shop should not introduce the new ice cream flavor.