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O 7 O 25 QUESTION 2 The following information will be used for question 2 and 3.

ID: 3318092 • Letter: O

Question



O 7 O 25 QUESTION 2 The following information will be used for question 2 and 3. The number of unhealthy days based on the AQI (Air Quality Index) for a random sample of several metropolitan areas is shou What is the sample mean and sample standard deviation for the data set? O Sample mean -25.8 61 12 6 40 27 38 16 5 13 40 Sample standard deviation 18.5 0 Sample mean-164 O Sample mean 61.1 O Sample mean 12.3 Sample standard deviation-10.3 Sample standard deviation -3.2 Sample standard deviation -4.3 QUESTION 3 Using the information in question 2 construct a 99% confidence interval for the mean if a city reported the num er of unhealthy da

Explanation / Answer

Sample mean = (61 + 12 + 6 + 40 + 27 + 38 + 16 + 5 + 13 + 40) / 10 = 25.8

Sample Variance = [(61 - 25.8)2 + (12 - 25.8)2 + (6 - 25.8)2 + (40 - 25.8)2 + (27 - 25.8)2 + (38 - 25.8)2 + (16 - 25.8)2 + (5 - 25.8)2 + (13 - 25.8)2 + (40 - 25.8)2 ] / (10 -1)

                           = 340.84

Sample Standard deviation = sqrt(340.84) = 18.5

Option-A) Sample mean = 25.8 and sample standard deviation = 18.5