The average final exam score for the statistics course is 79%. 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 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

66, 54, 75, 73, 74, 81, 65, 73, 80, 59, 80, 62, 85, 87, 56, 80

What can be concluded at the the αα = 0.10 level of significance level of significance?

For this study, we should use

The null and alternative hypotheses would be:

H0: _________ (Decimal Place)

H1: _________ (Decimal Place)

The test statistic     = ________ (please show your answer to 3 decimal places.)

The p-value = _________ (Please show your answer to 4 decimal places.)

Thus, the final conclusion is that ...

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 79 at αα = 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 79.

The data suggest the populaton mean is significantly lower than 79 at αα = 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 79.

The data suggest the population mean is not significantly lower than 79 at αα = 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 79.

Name: The average final exam score for the statistics course is 79%. A profe
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The average final exam score for the statistics course is 79%. 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 16 randomly selected stu

Question

The average final exam score for the statistics course is 79%. 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 16 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

66, 54, 75, 73, 74, 81, 65, 73, 80, 59, 80, 62, 85, 87, 56, 80

What can be concluded at the the αα = 0.10 level of significance level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0: _________ (Decimal Place)

H1: _________ (Decimal Place)

The test statistic = ________ (please show your answer to 3 decimal places.)
The p-value = _________ (Please show your answer to 4 decimal places.)
Thus, the final conclusion is that ...
- 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 79 at αα = 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 79.
- The data suggest the populaton mean is significantly lower than 79 at αα = 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 79.
- The data suggest the population mean is not significantly lower than 79 at αα = 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 79.

Accepted Answer

for this study since we do not have the population standard deviation we  will use t test to test…

e the αα = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H0: _________ (Decimal Place)