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. 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.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago
To find the mean daily high temperature for each sample, we add up all the temperatures and divide by the number of temperatures.

For Sample 1:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 855 / 10 = 85.5

For Sample 2:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 848 / 10 = 84.8

The mean daily high temperature for Sample 1 is 85.5°F and for Sample 2 is 84.8°F.

The difference between the mean daily high temperatures of the two samples is:
85.5 - 84.8 = 0.7°F

Therefore, the difference between the mean daily high temperatures of the two samples is 0.7°F.