1. Suppose it is claimed that the typical adult travels an average distance of 16 miles...

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Statistics

1. Suppose it is claimed that the typical adult travels anaverage distance of 16 miles to get to work each day. You believethis average is too low for Columbus residents. You survey a randomsample of 98adults from Columbus and find that your sample travelsan average distance of 17.6 miles to work each day, with a samplestandard deviation of 7.8 miles.   Use this informationto conduct the appropriate hypothesis test by going through thesteps you learned about from our Chapter 22 and Chapter 23 lecturevideos (and from your reading of Chapters 22 and 23). Assume thealpha level is .05 (or 5%).

A. What will the hypotheses be?

Ho:

Ha:

B. Use the following formula to compute the test statistic.

C. Based on what you see in Table B, what should the p-valuebe?

D. Will you reject or fail to reject the null hypothesis? Pleasestate your decision and the reason why you are making thatdecision.

E. In general, if we end up rejecting the null hypothesis whenconducting a hypothesis test, we say our results are_________________________ significant.

Answer & Explanation Solved by verified expert
4.5 Ratings (820 Votes)
The provided sample mean is 176 and the sample standarddeviation is s 78 and the sample size is n 981 Null and Alternative HypothesesThe following null and alternative hypotheses need to betestedHo 16Ha 16This corresponds to a righttailed test for which a ttest forone mean with    See Answer
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