Consider the set n of positive integers to be the universal set. sets h, t, e, and p are defined to the right. determine whether or not the sets upper e prime font size decreased by 10 and upper p prime are disjoint. h equals startset n is an element of upper n vertical line n greater than 100 endset t equals startset n is an element of upper n vertical line n less than 900 endset e equals startset n is an element of upper n vertical line n is even endset p equals startset n is an element of upper n vertical line n is prime endset

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.