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.)

Question
Asked Nov 16, 2019
1 views

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.)

check_circle

Expert Answer

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...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: I need help finding the answer on the TI84 Plus CE and on paper ?. Thank you

A: It is given that margin of error (E) is 0.10 and the confidence level is 90%.

question_answer

Q: In the 2016 presidential election, most Americans were inundated with poll results, all of which rep...

A: Margin of error:Margin of error is a range of values that lie above and below the sample statistic o...

question_answer

Q: The ages of Donald's five cousins are listed below. 19 18 13 12 6 1) Calculate the mean.     μ...

A: Given data set is 19, 18, 13, 12, and 61) Mean for data is

question_answer

Q: 6. A program to decrease littering was carried out in the University of Ghana starting in August 201...

A: Paired t-test:The paired t-test, also known as the “dependent t-test”, is a statistical procedure to...

question_answer

Q: Given  P(A) = 0.2 and   P(B) = 0.8,  do the following. (For each answer, enter a number.) (a)  If...

A: a) Condition for Independence: If A and B are independent events, then P(A and B)=P(A)*P(B). The val...

question_answer

Q: 0.02 You wish to test the following claim (H) at a significance level of a Ho:p 0.47 Ha p 0.47 You o...

A: The null and alternative hypotheses are as follows:From the information, a right tail test with leve...

question_answer

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed...

A: From the given information, mean (μ) =16 days and standard deviation (σ) =4days(a)Given data normall...

question_answer

Q: Make a decision about the given claim. Use only the rare event​ rule, and make subjective estimates ...

A: Rare event rule:The rare event rule describes that if the probability of a certain observed is very ...

question_answer

Q: Assets in billions of dollars of the four wealthiest people are 36, 30, 21, and 19 with a sample siz...

A: The list of possible observation with sample size 2 is,