A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are n=186​, x=6.55​, s=2.05. Use a 0.05significance 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.

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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=186​,
x=6.55​,
s=2.05.
Use a 0.05significance 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.
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