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A recent national survey found that high school students watched an average (mean) of 6.8 movies per month with a population standard deviation of 1.8. The distribution of number of movies watched per month follows the normal distribution. A random sample of 36 college students revealed that the mean number of movies watched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?

Respuesta :

Answer:

Step-by-step explanation:

Given that x = no of movies high school students watched is N(6.8, 1.8)

Sample size = 36 and hence std error = 1.8/6 = 0.3

[tex]H_0: x bar = 6.8\\H_a: x bar < 6.8\\[/tex]

(two tailed test)

Mean difference = 6.2-6.8 = -0.6

Test statistic z = -0.6/0.3= -2

p value = 0.02275

Since p <0.05 we reject H0.

There is evidence to show that college students watch fewer movies a month than high school students

ogorwyne

There is sufficient evidence that college students watch fewer movies a month than high school students.

How to test for hypothesis

In order to arrive at a conclusion we have to conduct a statistical test first

The sample size of the [population = 36

standard error = sd/mean

= 1.8/6 = 0.3

We have to calculate the mean difference

= -0.6

The test statistics z = 0.6/.3 = -0.2

Using the test statistics above, we have to find the p value = 0.02275

Given that 0.022 is less than 0.05 we fail to reject the null hypothesis. There is evidence that college students watch fewer movies a month than high school students.

Read more on statistics here:

https://brainly.com/question/19243813

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