TOOLS

Question

Statistics Unit Test 10 of 15 
 
The mean daily high temperature of Sample 1 is .
The mean daily high temperature of Sample 2 is .
The mean daily high temperatures of the two samples differ by
.
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 temperatu

Answer 1

res.

To find the mean daily high temperature of Sample 1, we sum up all the temperatures and divide by the number of temperatures:

(78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88) / 10 = 865 / 10 = 86.5

Therefore, the mean daily high temperature of Sample 1 is 86.5 degrees Fahrenheit.

To find the mean daily high temperature of Sample 2, we sum up all the temperatures and divide by the number of temperatures:

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

Therefore, the mean daily high temperature of Sample 2 is 84.8 degrees Fahrenheit.

To calculate the difference between the mean daily high temperatures of the two samples, we subtract the mean of Sample 2 from the mean of Sample 1:

86.5 - 84.8 = 1.7

Therefore, the mean daily high temperatures of the two samples differ by 1.7 degrees Fahrenheit.