A recent national survey found that high school students watched an average (mean) of 7.7 movies per month with a population standard deviation of 0.7. The distribution of number of movies watched per month follows the normal distribution. A random sample of 31 college students revealed that the mean number of movies watched last month was 6.7. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?a) State the decision rule.b) Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

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Asked Nov 18, 2019
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A recent national survey found that high school students watched an average (mean) of 7.7 movies per month with a population standard deviation of 0.7. The distribution of number of movies watched per month follows the normal distribution. A random sample of 31 college students revealed that the mean number of movies watched last month was 6.7. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

a) State the decision rule.

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

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Expert Answer

Step 1

Given information:

Sample mean = 6.7

Population standard deviation = 0.7

Sample size (n) = 31

Significance level = 0.05

Step 2

The college student watches fewer movies a month than higher than high school students. So, the hypotheses are as:

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Null Hypothesis, H 7.7 Alternative Hypothesis, H u7.7

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Step 3

The above hypothesis condition is a one tailed or left tailed test and it is a type normal distribution.

Now, the Z-critical value fr...

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Statistics

Hypothesis Testing

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