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In: Statistics and Probability

Two sample t-test: Suppose you are interested in deciding if the 1990 toyota four runner has...

Two sample t-test:

Suppose you are interested in deciding if the 1990 toyota four runner has been equally as reliable as the 1990 honda passport. You go out and randomly sample 5 people who own a 1990 toyota and 5 other people who own a 1990 honda and ask them how often they take their vehicles in for maintenance. Here is the data (in thousands of miles)

Honda: 29, 33, 28, 31, 27

Toyota: 31, 35, 32, 34, 30

a. state the null and the alternative hypotheses

b. compute the means and standard deviations of the two samples

c. compute the two-sample t-statistic

d. how many degrees of freedom?

e. compute p-value

f. at an alpha= 0.05 would you accept of reject the null hypothesis?

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