A dieter believes that the average number of calories in a homemade peanut butter cookie is more than in a store-bought peanut butter cookie. Estimate the difference in the mean calories between the two types of cookies using a 90% confidence interval. The data are 
= 40, 
= 180, 
= 2, 
= 45, 
= 179, and 
= 4, respectively.
Definitions:
Level Of Significance
The threshold used to determine the statistical significance of an observed effect; denoted by alpha, typically set at 0.05 or 5%.
P-value
The chance of obtaining test outcomes that are as drastic as, or more drastic than, the ones actually observed, under the premise that the null hypothesis is right.
One-tailed Hypothesis Test
A specific type of statistical test that looks for evidence of an effect in one direction.
P-value
The probability of getting results from tests that are at least as exceptional as the outcomes truly noted, assuming the null hypothesis is factual.
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