A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are n=190​, x=6.54​, s=1.84. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. a) What are the null alternative and alternative hypotheses? b) Determine the test statistic. c) Determine the P-value. d. (reject/fail to reject). There is (sufficient/not sufficient) evidence to conclude that the mean of the population of ratings is (=, not, <, >) 7.00

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A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are

n=190​,
x=6.54​,
s=1.84.

Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

a) What are the null alternative and alternative hypotheses?

b) Determine the test statistic.

c) Determine the P-value.

d. (reject/fail to reject). There is (sufficient/not sufficient) evidence to conclude that the mean of the population of ratings is (=, not, <, >) 7.00

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