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 87 79 86 91 88
Sample 2: 8179 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
(2 points)
The mean daily high temperature of Sample 1 is blank.
The mean daily high temperature of Sample 2 is blank.
The mean daily high temperatures of the two samples differ by blank.
To find the mean daily high temperatures of each sample, we add up all the temperatures in each sample and then divide by the number of temperatures in the sample.
For Sample 1:
(78 + 82 + 85 + 87 + 90 + 87 + 79 + 86 + 91 + 88) / 10 = 857 / 10 = 85.7
So, the mean daily high temperature of Sample 1 is 85.7°F.
For Sample 2:
(81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87) / 10 = 848 / 10 = 84.8
So, the mean daily high temperature of Sample 2 is 84.8°F.
To find the difference between these mean daily high temperatures:
85.7 - 84.8 = 0.9
Therefore, the mean daily high temperatures of the two samples differ by 0.9°F.