# A recent national survey found that high school students watched an average (mean) of 7.0 movies per month with a population standard deviation of 0.6. The distribution of number of movies watched per month follows the normal distribution. A random sample of 43 college students revealed that the mean number of movies watched last month was 6.5. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null hypothesis and the alternate hypothesis.  H0: μ ≥ 7.0; H1: μ < 7.0H0: μ = 7.0; H1: μ ≠ 7.0H0: μ > 7.0; H1: μ = 7.0H0: μ ≤ 7.0; H1: μ > 7.0  State the decision rule.  Reject H1 if z < –1.645Reject H0 if z > –1.645Reject H1 if z > –1.645Reject H0 if z < –1.6451. 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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A recent national survey found that high school students watched an average (mean) of 7.0 movies per month with a population standard deviation of 0.6. The distribution of number of movies watched per month follows the normal distribution. A random sample of 43 college students revealed that the mean number of movies watched last month was 6.5. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

1. State the null hypothesis and the alternate hypothesis.

• H0: μ ≥ 7.0; H1: μ < 7.0
• H0: μ = 7.0; H1: μ ≠ 7.0
• H0: μ > 7.0; H1: μ = 7.0
• H0: μ ≤ 7.0; H1: μ > 7.0

1. State the decision rule.

• Reject H1 if z < –1.645
• Reject H0 if z > –1.645
• Reject H1 if z > –1.645
• Reject H0 if z < –1.645

1. 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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Step 1

1.

Null and alternative hypotheses:

Null hypothesis:

H0: µ = 7.0.

That is, the average movies watched by high school students is 7.0.

Alternative hypothesis:

H1: µ < 7.0.

That is, the average movies watched by high school students is less than 7.0.

The correct answer is option, H0: μ ≥ 7.2; H1: μ < 7.2

Step 2

The decision rule:

Here, the alternative is left-tailed. So, the correct option is Reject H0 i...

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