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[The following information applies to the questions displayed below.] A recent national survey found that high...

[The following information applies to the questions displayed below.]

A recent national survey found that high school students watched an average (mean) of 6.6 DVDs per month with a population standard deviation of 1.00. A random sample of 30 college students revealed that the mean number of DVDs watched last month was 6.00. At the .05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?

4.

Required information

(b) State the decision rule.

Reject H1 if z < -1.65

Reject H0 if z > -1.65

Reject H0 if z < -1.65

Reject H1 if z > -1.65

5.

Required information

(d) What is your decision regarding H0 ?

Cannot reject H0

Reject H0

math   Statistics-And-Probability   
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Answer #1

4. The test is a left tailed test with 0.05 level of significance. So, critical value = -1.65

Hence,

Decision rule: Reject H0 if z < -1.65

Option C is correct.

5. Test statistic

z = -3.29

-3.29 < -1.65. Hence,

Reject H0

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