The average final exam score for the statistics course is 77%. 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 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal.

72, 88, 62, 84, 49, 51, 67, 49, 68, 86, 80, 53, 71, 70

What can be concluded at the the = 0.05 level of significance level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:

H0:H0: ? p Select an answer > < =

H1:H1: ? p Select an answer = < >

1. The test statistic ? t z = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? >
4. Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the populaton mean is significantly lower than 77 at = 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 lower than 77.
   • 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 77 at = 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 lower than 77.
   • The data suggest the population mean is not significantly lower than 77 at = 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 77.