The average final exam score for the statistics course is 81%. 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 11 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 93, 87, 70, 77, 70, 100, 79, 88, 94, 81, 70 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 o b. The null and alternative hypotheses would be: Ho:u H₁: P c. The test statistic t O H a d. The p-value = e. The p-value is 0° f. Based on this, we should fail to reject 81 g. Thus, the final conclusion is that ... 81 (Please show your answer to 4 decimal places.) (please show your answer to 3 decimal places.) the null hypothesis. The data suggest the population mean is not significantly different from 81 at a = 0.01, so

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