30 POINTS! The median score on the midterm exam in Mr. Atchison’s history class was 82. The median score on the final exam was 85. The range of scores was 35 for the midterm and 42 for the final. All 15 students in the class took both exams. Which of the following must be true?

The mean score was higher on the final exam than on the midterm exam.

More students scored above 82 on the final exam than on the midterm exam.

The highest score on the final exam was higher than the highest score on the midterm exam.

More students received a score above 90 on the final exam than on the midterm exam.

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.