Question

In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using your friend from Becker as the sample, conduct a hypothesis test to determine if the average for students at your school is lower.

1, 4, 2, 1, 3,5,2, 4, 2, 3.5,6, 3,4, 2, 3, 2,1,4, 5, 2, 3.5, 4, 1, 2, 2.51, 4, 2, 1, 3,5,2, 4, 2, 3.5,6, 3,4, 2,3, 2,1,4, 5, 2, 3.5, 4,1,2,2.5 - Data Values

State N=25

Find X=?

Part 2:

1.                   Ho:

2.                   Ha:

3.                   In words, define the random variable. __________ =

4.                   The distribution to use for the test is:

5.                  Determine the test statistic using your data.

6.                   Draw a graph and label it appropriately; determine the test type.

Find P-value

Conclusion about Ho:

Final Conclusion:

Answer 1

Part 1:

The Sample Mean is

Part 2:

1) Null Hypothesis

2) Alternative Hypothesis

3) The random variable X be the time( in hours) spent by Americans watching television per day.

4) The Normal distribution

5) Under H0, the test statistic is

6) Left tailed test,

The P-Value is 0.000104

Connclusion : Since p value is very less. REject H0.

Final Conclusion : Hence we have enough evidence that the average time spent by students at your school in watiching television is lower than 4 hours.