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Residents of Valentine, a small city in Nebraska, meet for a citycouncil meeting once a...

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Residents of Valentine, a small city in Nebraska, meet for a citycouncil meeting once a week. Meetings are supposed to last no morethan 3 hours. However, many residents are complaining that theaverage meeting is significantly longer than 3 hours (180 minutes).In order to test this, the lengths of the last 15 meetings wererecorded in minutes: 147.0, 155.4, 159.6, 162.6, 163.8, 165.0,167.4, 169.2, 172.2, 172.8, 172.8, 175.8, 175.8, 196.8, 201.6. Usingthis data, test the null hypothesis at the alpha=0.1 level that themean length of city council meetings is equal to 3 hours versus thealternative that the average meeting length is greater than 3 hours.Assume that the distribution of meeting lengths is normal.What is the p-value and conclusion of this test?p-value = 0.046; Fail to reject the null hypothesisp-value=0.046; Reject the null hypothesisp-value = 0.990; Fail to reject the null hypothesisp-value = 0.990; Reject the null hypothesis

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