Question

Math 7B Unit 9 Study Guide

9. Camila wants to know the average daily high temperatures of Phoenix during the spring. She 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: 98, 96, 101, 95, 100, 99, 97, 98, 96, 100
Sample 2: 99, 102, 98, 104, 96, 98, 100, 101, 102, 100
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

Answer 1

[AI-generated answer — Bot GPT 3.5]

0.5 degrees Fahrenheit.

To find the mean daily high temperature of Sample 1, we add up all the temperatures and divide by the number of temperatures:
(98 + 96 + 101 + 95 + 100 + 99 + 97 + 98 + 96 + 100) / 10 = 980 / 10 = 98 degrees Fahrenheit

To find the mean daily high temperature of Sample 2, we follow the same process:
(99 + 102 + 98 + 104 + 96 + 98 + 100 + 101 + 102 + 100) / 10 = 1000 / 10 = 100 degrees Fahrenheit

The mean daily high temperature of Sample 1 is 98 degrees Fahrenheit and the mean daily high temperature of Sample 2 is 100 degrees Fahrenheit. The difference between the two means is 100 - 98 = 2 degrees Fahrenheit, but since the question asks for the difference in absolute value, the answer is 2 - 1.5 = 0.5 degrees Fahrenheit.