# Hypothesis testing

State the null and alternate hypotheses, the decision rule, find the test statistic, state your decision, and estimate the P value for the following:

The mean high temperature for 12 days in July in Detroit, Michigan was 88 degrees with a standard deviation of 4 degrees. The mean high temperature in Hilton Head, South Carolina for 8 July days was 91 degrees with a standard deviation of 3 degrees. At the .05 significance level, can we conclude that it is warmer in Hilton Head?

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#### Solution Summary

State the null and alternate hypotheses, the decision rule, find the test statistic, state your decision, and estimate the P value for the following:

The mean high temperature for 12 days in July in Detroit, Michigan was 88 degrees with a standard deviation of 4 degrees. The mean high temperature in Hilton Head, South Carolina for 8 July days was 91 degrees with a standard deviation of 3 degrees. At the .05 significance level, can we conclude that it is warmer in Hilton Head?