Commuting Times The Bureau of the Census reports that the

Chapter 9, Problem 7

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QUESTION:

Commuting Times The Bureau of the Census reports that the average commuting time for citizens of both Baltimore, Maryland, and Miami, Florida, is approximately 29 minutes. To see if their commuting times appear to be any different in the winter, random samples of 40 drivers were surveyed in each city and the average commuting time for the month of January was calculated for both cities. The results are provided below. At the 0.05 level of significance, can it be concluded that the commuting times are different in the winter? Miami Baltimore Sample size 40 40 Sample mean 28.5 min 35.2 min Population standard deviation 7.2 min 9.1 min Source: www.census.gov

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QUESTION:

Commuting Times The Bureau of the Census reports that the average commuting time for citizens of both Baltimore, Maryland, and Miami, Florida, is approximately 29 minutes. To see if their commuting times appear to be any different in the winter, random samples of 40 drivers were surveyed in each city and the average commuting time for the month of January was calculated for both cities. The results are provided below. At the 0.05 level of significance, can it be concluded that the commuting times are different in the winter? Miami Baltimore Sample size 40 40 Sample mean 28.5 min 35.2 min Population standard deviation 7.2 min 9.1 min Source: www.census.gov

ANSWER:


Using a two-sample t-test, the null hypothesis is that the average commuting time for the two cities is the same.

H0: ?1 = ?2

The alternative hypothesis is that the average commuting time f

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