Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 o
unces if ice cream per month. A random sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream last month. The standard deviation for this sample was 3.9 ounces. Breyers would like to set ? = 0.10. The p-value for this hypothesis test would be between
We can set a standard t-test for the Null Hypothesis that
The test statistic then takes the form
with this value we then can calculate the probability that is left to the right of this value . From theory we know that t follows a standard normal distribution. Then which is smaller than the p-value set by Breyers of 0.10