b. The null and alternative hypotheses would be: Ho: ?v Select an answer H1: ?v Select an answer ♥ c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) %3D

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Please answer B, C, & D. 

The average final exam score for the statistics course is 82%. A professor wants to see if the average final
exam score for students who are given colored pens on the first day of class is different. The final exam
scores for the 13 randomly selected students who were given the colored pens are shown below. Assume
that the distribution of the population is normal.
99, 89, 68, 88, 75, 89, 85, 93, 83, 68, 84, 91, 81
What can be concluded at the the a = 0.05 level of significance level of significance?
a. For this study, we should use t-test for a population mean
b. The null and alternative hypotheses would be:
Но:
?v Select an answer v
Hj: ?v| Select an answer v
c. The test statistic ?v =
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is
f. Based on this, we should fail to reject
the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population mean is not significantly different from 82 at a = 0.05, so
there is statistically insignificant evidence to conclude that the population mean final exam
score for students who are given colored pens at the beginning of class is equal to 82.
The data suggest the populaton mean is significantly different from 82 at a = 0.05, so there is
statistically significant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is different from 82.
O The data suggest that the population mean final exam score for students who are given colored
pens at the beginning of class is not significantly different from 82 at a = 0.05, so there is
statistically insignificant evidence to conclude that the population mean final exam score for
students who are given colored pens at the beginning of class is different from 82.
%3D
Transcribed Image Text:The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 99, 89, 68, 88, 75, 89, 85, 93, 83, 68, 84, 91, 81 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: ?v Select an answer v Hj: ?v| Select an answer v c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should fail to reject the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 82 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is equal to 82. The data suggest the populaton mean is significantly different from 82 at a = 0.05, so there is statistically significant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 82. O The data suggest that the population mean final exam score for students who are given colored pens at the beginning of class is not significantly different from 82 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean final exam score for students who are given colored pens at the beginning of class is different from 82. %3D
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