Question

4	5	2	2	0.5	2.5	1	2	3.5	6	1.5	2	1	6.5	7	3	3	3	1	1.54	6.5	3	2	4	1	2	2	2.5	4
7	1	5	1	2	3	5	7	1	4	6	1.5	2	2	2	2	2	0.5	2	5	4	2	1	2.5	6	2.5	1	4	4

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 less television than Americans in general. Use the fact that Americans watch 5.5 hours of television per day with a standard deviation of 1 hour 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) Drawing or graph of P-value. (2 points)
h) Decision (2 point)
i) Conclusion in complete sentences. (3 points)

Answer 1

First of all we find the mean of the sample data using the formula :

$\bar{X}= \frac{\sum_{i=1}^{n}X_i}{n}$

We get,

$\bar{X}= 2.983$

Since, we have the population standard deviation known to us, Normal distribution will be used.

Now, we conduct the Z-test for one population mean as :

Hence, we can conclude that there is enough evidence to say that Students at TCC watch less television than Americans in general.