Anthony wants to know the average daily high temperatures in his town during the summer. He chose two random samples of 10 consecutive days and recorded the daily high temperatures. The daily high temperatures in Fahrenheit are as follows.

Question

Sample 1: 78 82 85 87 90 85 79 86 91 88
Sample 2: 81 79 80 86 89 92 82 88 84 87

Find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures.

Answer 1

To find the mean daily high temperature of each sample, we need to add up all the temperatures and divide by the number of days (which is 10 in both samples).

Sample 1 mean: (78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 85.1°F

Sample 2 mean: (81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 84.8°F

To find the difference between these means, we simply subtract one from the other:

85.1°F - 84.8°F = 0.3°F

So the difference between the mean daily high temperatures of the two samples is 0.3°F.