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In: Statistics and Probability

For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the...

For each problem test the significance the Spearman Rank Correlation Coefficient. Show your calculation of the test statistic rs.

Exercise 2. Income and commute time. The table below shows the median income ($1000s) and commuter times (minutes) for a random sample of 6 different places. At α = 0.05, can you reject the claim that there is no correlation between median income and commuting distance?

City

Family income

Commute time

Woodridge, Illinois

83

27.1

Urbandale, Idaho

82

17.0

La Palma, California

86

26.9

Friendswood, Texas

90

26.0

Suwanee, Georgia

101

32.1

Somers, Connecticut

83

22.6

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