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Hypothesis Testing for Population Means When the Population Standard Deviation is NOT known. Use the t-distribution...

Hypothesis Testing for Population Means When the Population Standard Deviation is NOT known.

Use the t-distribution tables, Table C for these questions. For each of the following situations complete the steps listed below.

a. State the Alternative and null Hypotheses.

b. State the Level of Significance

c. Calculate the Test Statistic.

d. Draw a conclusion as to Rejecting or Failing to Reject the Null.

Teacher’s salaries in one state are very low, so low that educators in that state regularly complain about their compensation. The state mean is $33,600, but teachers in one district claim that the mean in their district is significantly lower. They survey a simple random sample of 22 teachers in the district and calculate a mean salary of $32,400 with a standard deviation of $1,520. Test the teachers’ claim at the 0.01 level of significance.

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