Mathematics Assignment-Math Discussion

Mathematics Assignment-Math Discussion

8. _____ (15 points) The UMUC bookstore states the average textbook costs $75. A randomly selected sample of 16 new textbooks at the UMUC bookstore had a mean price of $82.54 and sample standard deviation of $15.50. Use a 0.05 significance level to test the claim that the mean price of textbooks at the UMUC bookstore is significantly more than $75 (use the p-value method). Show your work.

a. Give the symbolic null & alternative hypotheses. Use proper notation.

H0: ______________________ HA: ______________________

b. Determine the test statistic (round to 3 decimal places): __________________

c. Determine the p-value (round to 3 decimal places): __________________

d. Result (Circle one & justify): REJECT 𝑯𝟎 FAIL TO REJECT 𝑯𝟎

Reason: ______________________________________________________________________

e. State a conclusion within the context of the scenario:

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

9. (15 points) Researchers interviewed college students in the United States and Europe. The mean age of 81 United States college students was 21 with a standard deviation of 6. The mean age of 92 European college students was 19 with a standard deviation of 7. Is the mean age of college students in Europe lower than the mean age in the United States? Test at a 0.03 significance level. Use the value of 170.885 for the degrees of freedom. Show your work. HINT: See Illowsky, Chapter 10.

a. Give the symbolic null & alternative hypotheses. Use correct notation.

H0: ______________________ HA: ______________________

b. Determine the test statistic (round to 3 decimal places): __________________

c. Determine the p-value (round to 3 decimal places): __________________

d. Result (Circle one & justify): REJECT 𝑯𝟎 FAIL TO REJECT 𝑯𝟎

Reason: ______________________________________________________________________

e. State a conclusion within the context of the scenario:

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________