Question

In an American study, temperature readings (in Fahrenheit) were taken at locations in 1969 and in 1995. The average daily temperatures for the month of June in each of the 61 locations are listed below. What type of statistical test would be appropriate to test if there is any difference between the mean temperatures of 1969 and 1995?

a. Independent t-test
b. Paired t-test
c. Chi-square test
d. ANOVA
Please select the correct option.

Answer 1

The appropriate statistical test to compare the mean temperatures between 1969 and 1995 is the paired t-test. Option b

Step-by-step explanation:

The appropriate statistical test to compare the mean temperatures between 1969 and 1995 would be the paired t-test. The paired t-test is used when comparing two sets of data that are related, such as measurements taken at the same locations at different times.

In this case, the temperatures for each location in 1969 and 1995 are paired because they are taken at the same locations.

Using the paired t-test, we can determine if there is a significant difference between the mean temperatures of 1969 and 1995. The paired t-test compares the mean differences between the paired observations to a hypothesized value of zero. If the p-value is less than the significance level (usually 0.05), we can conclude that there is a significant difference between the means.

It's important to note that the paired t-test assumes that the differences between the paired observations follow a normal distribution. If this assumption is not met, alternative tests such as the Wilcoxon signed-rank test can be used. Option b