Question

Business Stat

A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 

9

 of this year's entering students and finds that their mean IQ score is 

112

, with standard deviation of 

11

. The college records indicate that the mean IQ score for entering students from previous years is 

111

. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the 

0.05

 level of significance, that the mean IQ score, 

μ

, of this year's class is greater than that of previous years?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:H0:


The alternative hypothesis:H1:


The type of test statistic:(Choose one)ZtChi squareF


The value of the test statistic:(Round to at least three decimal places.)


The critical value at the 0.05 level of significance:(Round to at least three decimal places.)


Can we conclude, using the 0.05 level of significance, that the mean IQ score of this year's class is greater than that of previous years?YesNo



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