Question

Use the data set provided in the main page of the experience for this application.

1. Complete the full hypothesis testing procedure to determine if students at TCC watch more television than Americans in general. Use the fact that on average Americans watch 3 hours of television per day with a standard deviation of 1.5 hours per day. Include the following in your report:

a) Hypotheses using correct notation (2 points)

b) type of test (left, right, two-tailed) (1 point), distribution used (normal or t) (1 point), reasons why (2 points)

c) level of significance, choose one based on how serious the study is (2 points)

d) Sample statistics (sample size and sample mean or sample proportion) (2 points)

e) P-Value (2 point) (Round answer to four decimal places)

f) Interpretation of P-value (Use Definition of P-Value but be specific to this context) (1 point)

g) Graph of the sampling distribution with the are corresponding to the P-value shaded. (2 points)

h) Decision (2 point) i) Conclusion in complete sentences. (3 points)

Average amount of TV watched per day (hours) 1, 5, 3.5, 4, 3, 4, 12, 2.4, 4, 5, 0.25, 1, 1.5, 2, 1.5, 1, 3, 7, 2, 2, 6, 3, 1, 3, 3, 4, 3.5, 3, 1.5, 4, 1, 0.2, 5, 0, 0.08, 2, 0, 2, 5, 3, 0.25, 3, 4, 2.5, 5

Answer 1

Population mean= 3

Population standard deviation= 1.5

Sample =45

Sample mean= 2.892889

a) Hypothesis test:

b)Right tailed test and Normal distribution because Population staandard deviation is known.

c)Level of significance: 0.05

d)

Sample =45

Sample mean= 2.892889

e) The test statistic:

P-value: 0.684

f) The p value determines statistical significance in a hypothesis test and result stats that fail to rejects null hypothesis.

g)

h) The test statistic is not significant and fail to reject H0. There is insufficient evidence to support the claim that there students at TCC watch more television than Americans in general.