In: Statistics and Probability
A food blogger is interested in comparing the price of pizzas available for purchase in New York City to those available in Washington, D.C. To do so, they collected a random sample of 30 large cheese pizzas from each of the cities. The New York pizzas had an average price of $12.83 with a standard deviation of $4.45. The Washington, D.C. pizzas had an average price of $10.71 with a standard deviation of $3.74. At the 0.01 significance level, can the blogger conclude that the mean price of a large cheese pizza in New York is higher than Washington, D.C.? Assume all conditions for conducting inference are satisfied.
The answers to the above questions are given in the solution below.
State your conclusion in context of the problem (i.e. interpret
your results and/or answer the question being posed) in one or two
complete sentences.
We conclude that the mean price of a large cheese pizza in New York
is higher than Washington, D.C.
Imagine if the significance level for this problem was 0.05. State your decision and conclusion for the above hypothesis test when you compare your p-value found in part (v) with the significance level of 0.05.
The decision and the conclusion would be the same.