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.
To find the mean daily high temperature for each sample, we add up all the temperatures and divide by the number of days in the sample.
Sample 1:
(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 865 / 10 = 86.5
Sample 2:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 848 / 10 = 84.8
Now, we find the difference between the mean daily high temperatures of each sample:
86.5 - 84.8 = 1.7
Therefore, the difference between the mean daily high temperatures of the two samples is 1.7 degrees Fahrenheit.