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.
(2 points)
Mean of Sample 1 = (78+82+85+87+90+85+79+86+91+88)/10 = 85.1 Fahrenheit
Mean of Sample 2 = (81+79+80+86+89+92+82+88+84+87)/10 = 84.8 Fahrenheit
Difference between means = 85.1 - 84.8 = 0.3 Fahrenheit
To find the mean daily high temperatures of each sample and calculate the difference between these mean daily high temperatures, we need to follow these steps:
Step 1: Find the sum of all the temperatures in each sample.
Sample 1: 78 + 82 + 85 + 87 + 90 + 85 + 79 + 86 + 91 + 88 = 851
Sample 2: 81 + 79 + 80 + 86 + 89 + 92 + 82 + 88 + 84 + 87 = 848
Step 2: Divide the sum of each sample by the number of temperatures to find the mean.
Mean of Sample 1: 851 / 10 = 85.1
Mean of Sample 2: 848 / 10 = 84.8
Step 3: Calculate the difference between the mean daily high temperatures.
Difference = Mean of Sample 1 - Mean of Sample 2
Difference = 85.1 - 84.8 = 0.3
The difference between the mean daily high temperatures of the two samples is 0.3 degrees Fahrenheit.