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 different. 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. 77, 91, 64, 96, 96, 75, 74, 78, 84, 98, 78, 80, 74 What can be concluded at the the a= 0.10 level of significance level of significance? a. For this study, we should use [Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? ✓ = d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.)

The following are the exam scores for a new literature class: 34, 41, 90, 80, 18, 20, 25, 70, 25, 20, 50, 40, 36. The class follows a typical grading scare where 65% is the lowest passing gradeand 100% is the highest. Create a box plot. Be sure to identify all thenecessary terms. What can we infer from looking at the box plot?

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Midterm: 80, 78, 85, 82, 79, 79, 78, 86, 80, 84, 78, 84, 80, 84, 81, 78, 81, 82, 78, 84 Final: 81, 88, 68, 69, 69 81, 82, 86, 76, 71, 72, 68, 77, 86, 68, 83, 84, 71, 81, 87 z-score for midterm: 1.857 z-score for final: 1.181 Based on the z-scores calculated above, which of Jaymes's grades is more unusual, the midterm grade or the final exam grade? Select the correct answer below: A. The absolute value of the z-score for the final exam grade is greater than for the midterm grade, so the final exam grade is more unusual. B. The absolute value of the z-score for the midterm exam grade is less than for the final grade, so the midterm grade is more unusual. C. The absolute value of the z-score for the midterm exam grade is greater than for the final grade, so the midterm grade is more…

I need help with something regarding this problem.  The National Sleep Foundation recommends that adults aged 18 to 64 get an average of 8 hours of sleep per night. A survey of sleep hours was taken during a Statistics class. The data is listed below:   4, 5, 5, 5, 5.5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10   Do we have enough evidence at the 0.05 significance level to say that statistics students tend to get less sleep than the recommended average of 8 hours per night?   How would I get the degrees of freedom?