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 higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 97, 92, 77, 89, 97, 85, 83, 90, 71, 89, 94, 93, 70, 98, 99, 98 What can be concluded at the the α = 0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean Or b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? ✓ = d. The p-value= e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. 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 higher than 82 at a = 0.01, 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 higher than 82. O The data suggest the populaton mean is significantly higher than 82 at a = 0.01, 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 higher than 82. The data suggest the population mean is not significantly higher than 82 at a = 0.01, 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.

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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 higher. The final exam scores
for the 16 randomly selected students who were given the colored pens are shown below. Assume that the
distribution of the population is normal.
97, 92, 77, 89, 97, 85, 83, 90, 71, 89, 94, 93, 70, 98, 99, 98
What can be concluded at the the a = 0.01 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:
Ho: ? Select an answer
H₁: ? Select an answer
c. The test statistic ?
d. The p-value =
e. The p-value is ? ✓ a
f. Based on this, we should
g. Thus, the final conclusion is that ...
=
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
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 higher than 82 at a = 0.01, 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 higher than 82.
O The data suggest the populaton mean is significantly higher than 82 at a = 0.01, 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 higher than 82.
O The data suggest the population mean is not significantly higher than 82 at a = 0.01, 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.
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 higher. The final exam scores for the 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 97, 92, 77, 89, 97, 85, 83, 90, 71, 89, 94, 93, 70, 98, 99, 98 What can be concluded at the the a = 0.01 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: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. 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 higher than 82 at a = 0.01, 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 higher than 82. O The data suggest the populaton mean is significantly higher than 82 at a = 0.01, 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 higher than 82. O The data suggest the population mean is not significantly higher than 82 at a = 0.01, 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.
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