Mathematic Statistics

Question

Students in an online Statistics course reported the following hours spent weekly on the course.8.5 4.5 12.5 13 14 3.5 6.5 18 21.5 23.5Assume the number of hours spent by all students follows a normal distribution and use the 0.05 level of significance.Test the claim that the mean time spent by students on this course is more than 8 hours.Identify the null and alternative hypotheses.

2.
Find the sample mean and standard deviation.

3.
Is this a one-tailed or two-tailed test?

4.
Find the value of the test statistic.

5.
Find the P-value or critical value. State which you are finding!

6.
Is the null hypothesis rejected? Why or why not?

7.
Make a conclusion about the claim.

8.
What does alpha=0.05 represent?

9.
Construct a 95% confidence interval for the mean hours spent weekly by students in an online Statistics course.

10.
Interpret the confidence interval in light of this problem.

11.
Test the claim that the standard deviation of the hours spent in this course is greater than four hours. Use the 0.05 significance level.Identify the null and alternative hypotheses.

12.
Find the value of the test statistic.

13.
Find the P-value or critical value.

14.
Is the null hypothesis rejected? Why or why not?

15.
Make a conclusion about the claim.

Answer 1

2.Use the formulas for sample mean and variance that should be in your book to evaluate the values.

sample mean=overline{x}=(8.5 +4.5 +12.5+ 13+ 14+ 3.5+ 6.5 +18 +21.5 +23.5)/10

 

3. This is a one tailed test, because you are testing the claim that the mean time spent by students on this course is more than 8 hours.

It would be two tailed if you were testing to see if the mean time spent by students is 8 hours or not. 

 

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