The average final exam score for the statistics course is 78%. Aprofessor wants to see if the average final exam score for studentswho are given colored pens on the first day of class is different.The final exam scores for the 11 randomly selected students whowere given the colored pens are shown below. Assume that thedistribution of the population is normal. 81, 61, 81, 91, 84, 56,64, 74, 79, 63, 82 What can be concluded at the the ? ? = 0.10level of significance level of significance? For this study, weshould use The null and alternative hypotheses would be: H 0 : H 0: H 1 : H 1 : The test statistic = (please show your answer to 3decimal places.) The p-value = (Please show your answer to 4decimal places.) The p-value is ? ? Based on this, we should thenull hypothesis. Thus, the final conclusion is that ... The datasuggest that the population mean final exam score for students whoare given colored pens at the beginning of class is notsignificantly different from 78 at ? ? = 0.10, so there isstatistically insignificant evidence to conclude that thepopulation mean final exam score for students who are given coloredpens at the beginning of class is different from 78. The datasuggest the population mean is not significantly different from 78at ? ? = 0.10, so there is statistically insignificant evidence toconclude that the population mean final exam score for students whoare given colored pens at the beginning of class is equal to 78.The data suggest the populaton mean is significantly different from78 at ? ? = 0.10, so there is statistically significant evidence toconclude that the population mean final exam score for students whoare given colored pens at the beginning of class is different from78.