Question

Data is collected every year on the daily high temperatures in every major city in the U.S. The data is normally distributed. In Phoenix, Arizona the daily temperature has a mean of 101 with a standard deviation of 5. In San Francisco, CA the daily high temperature has a mean of 60 with a standard deviation of 3.

One day high temperature in Phoenix is 103. Find its z-score
One day high temperature in San Francisco is 66. Find its z-score.
Which day in which city has a higher relative temperature? (hint: compare the z-scores)
A. San Francisco
B. Phoenix

Answer 1

To find the z-score for a temperature, use the formula z = (x - mean) / standard deviation. San Francisco has a higher relative temperature compared to Phoenix.

Step-by-step explanation:

To find the z-score for a given temperature, we can use the formula:

z = (x - mean) / standard deviation

For Phoenix: z = (103 - 101) / 5 = 0.4

For San Francisco: z = (66 - 60) / 3 = 2.0

Since a higher z-score indicates a higher relative temperature, San Francisco has a higher relative temperature compared to Phoenix. Therefore, the answer is San Francisco (B).