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# I am taking a practice test and need help completing the

problem

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Test 3 Ch 8 – 11

Question 5 of 15 (7 points)

Time Remaining: 2:06:04

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 16 of

this year’s entering students and finds that their mean IQ score is 119, with standard deviation of 15. The college records indicate that the mean IQ score for

entering students from previous years is 110. 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, J, 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:

H : M = 110

p

S

The alternative hypothesis:

H : M gt; 110

D=0 0-0 0-0

The type of test statistic:

t

Degrees of

freedom:

15

1=0 0-0 0-0

The value of the test statistic:

(Round to at least three

x a ?

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?

Yes

No

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Statistics and Probability