At Blue Lake HS, Mr. Johnson, the AP Statistics teacher, realizedthat the scores

Question

At Blue Lake HS, Mr. Johnson, the AP Statistics teacher, realizedthat the scores on the final exam are lower than the average70%. His class averaged 68%, the scores are normallydistributed and the standard deviation is 7%.

1.) What is the p value for this test if the class size is 28students? a. 7.78% b. 9.6% c. 6.53% d. 3.89% e. 1.27% 2.) What does the p-value represent in this test for aclass of 28 students? a. an average of 68% or less could happen less than 5%of the time if the true average is 70% b. an average of 68% or less could happen more than 5%of the time of the true average is 70%. c. A 2% difference in the average could happen less than5% of the time. d. A 2% difference in the average could happen more than5% of the time e. Since 68% + 7% is greater than 70%, it islikely to get such an average on the final exam.
3.) What is the null hypothesis for this test if the classsize is 28 students? a. The true average for this class is less than70% b. The true average for this class is more than70% c. The true average for this class is more than68% d. The true average for this class is 70% e. The true average for this class is 68% 4.) What is the alternative hypothesis for this test ifthe class size is 28 students? a. The true average for this class is less than70% b. The true average for this class is more than70% c. The true average for this class is more than68% d. The true average for this class is 70% e.   The true average for this class is 68% Please show all work in order to receive a rating ofLifesaver! Thank you so much!!! :)
1.) What is the p value for this test if the class size is 28students? a. 7.78% b. 9.6% c. 6.53% d. 3.89% e. 1.27% 2.) What does the p-value represent in this test for aclass of 28 students? a. an average of 68% or less could happen less than 5%of the time if the true average is 70% b. an average of 68% or less could happen more than 5%of the time of the true average is 70%. c. A 2% difference in the average could happen less than5% of the time. d. A 2% difference in the average could happen more than5% of the time e. Since 68% + 7% is greater than 70%, it islikely to get such an average on the final exam.
3.) What is the null hypothesis for this test if the classsize is 28 students? a. The true average for this class is less than70% b. The true average for this class is more than70% c. The true average for this class is more than68% d. The true average for this class is 70% e. The true average for this class is 68% a. The true average for this class is less than70% b. The true average for this class is more than70% c. The true average for this class is more than68% d. The true average for this class is 70% e. The true average for this class is 68% 4.) What is the alternative hypothesis for this test ifthe class size is 28 students? a. The true average for this class is less than70% b. The true average for this class is more than70% c. The true average for this class is more than68% d. The true average for this class is 70% e.   The true average for this class is 68% Please show all work in order to receive a rating ofLifesaver! Thank you so much!!! :) Please show all work in order to receive a rating ofLifesaver! Thank you so much!!! :)

Explanation / Answer

1.) What is the p value for this test if the class sizeis 28 students?
The test statistic is Z=(xbar-)/(s/n)= (0.68-0.7)/(0.07/sqrt(28)) =-1.51
The p-value is P(Z<-1.51)= 0.0655 (check normaltable)

a. 7.78% b. 9.6% c. 6.53% d. 3.89% e. 1.27%

2.) What does the p-value represent in this test for aclass of 28 students? a. an average of 68% or less couldhappen less than 5% of the time if the true average is70% b. an average of 68% or less could happen more than 5%of the time of the true average is 70%. c. A 2% difference in the average could happen less than5% of the time. d. A 2% difference in the average could happen more than5% of the time e. Since 68% + 7% is greater than 70%, it islikely to get such an average on the final exam.
3.) What is the null hypothesis for this test if the classsize is 28 students? a. The true average for this class is less than70% b. The true average for this class ismore than 70% c. The true average for this class is more than68% d. The true average for this class is 70% e. The true average for this class is 68%

a. The true average for this class is less than70% b. The true average for this class ismore than 70% c. The true average for this class is more than68% d. The true average for this class is 70% e. The true average for this class is 68%

4.) What is the alternative hypothesis for this test ifthe class size is 28 students? a. The true average for this class isless than 70% b. The true average for this class is more than70% c. The true average for this class is more than68% d. The true average for this class is 70% e.   The true average for this class is 68%

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