The average final exam score for the statistics course is 76%. 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 lower. 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. 76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57 What can be concluded at the the a = 0.10 level of significance level of significance?

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The average final exam score for the statistics course is 76%. 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 lower. 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.
76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57
What can be concluded at the the a = 0.10 level of significance level of significance?
Transcribed Image Text:The average final exam score for the statistics course is 76%. 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 lower. 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. 76, 54, 57, 83, 52, 86, 79, 64, 53, 53, 68, 75, 57 What can be concluded at the the a = 0.10 level of significance level of significance?
d. The p-value
(Please show your answer to 4 decimal places.)
e. The p-value is (?v a
f. Based on this, we should Select an answerv the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton mean is significantly lower than 76 at a = 0.10, 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 lower than 76.
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 lower than 76 at a = 0.10, 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 lower than 76.
O The data suggest the population mean is not significantly lower than 76 at a = 0.10, 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 76.
Transcribed Image Text:d. The p-value (Please show your answer to 4 decimal places.) e. The p-value is (?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton mean is significantly lower than 76 at a = 0.10, 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 lower than 76. 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 lower than 76 at a = 0.10, 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 lower than 76. O The data suggest the population mean is not significantly lower than 76 at a = 0.10, 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 76.
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