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 of this year's entering students and finds that their mean IQ score is , with standard deviation of . The college records indicate that the mean IQ score for entering students from previous years is . If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the level of significance, that the mean IQ score, , of this year's class is greater than that of previous years?

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

What is the null hypothesis? What is the alternative hypothesis?

What is the type of test statistic? What is the degree of freedom?

What is the value of the test statistic (rounded to at least three decimal places)?

What is the p-value (rounded to at least three decimal places)?

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

What is the null hypothesis? What is the alternative hypothesis?

What is the type of test statistic? What is the degree of freedom?

What is the value of the test statistic (rounded to at least three decimal places)?

What is the p-value (rounded to at least three decimal places)?

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