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# A recent national survey found that high school students watched an average (mean) of 7.5 DVDs per month with a population standard deviation of .

3. A recent national survey found that high school students watched an average (mean) of 7.5 DVDs per month with a population standard deviation of .60. A random sample of 44 college students revealed that the mean number of DVDs watched last month was 6.50. At the .05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?

(a) State the null hypothesis and the alternate hypothesis.
H0:μ > 7.5 ; H1: μ = 7.5
H0:μ = 7.5 ; H1: μ ≠ 7.5
H0:μ ≤ 7.5 ; H1: μ > 7.5
H0:μ ≥ 7.5 ; H1: μ < 7.5

(b) State the decision rule.
Reject H0 if z < -1.65
Reject H1 if z > -1.65
Reject H0 if z > -1.65
Reject H1 if z < -1.65

(c)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic

(d) What is your decision regarding H0 ?
Reject H0
Cannot reject H0

(e) What is the p-value?

p-value

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3. A recent national survey found that high school students watched an average (mean) of
7.5 DVDs per month with a population standard deviation of .60. A random sample of 44
college students...

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