Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kilograms, but Renna and her load of identical packages mass a total of 620 kg. Each package has a mass of 37.4 kg. Write an inequality to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement. What is the minimum whole number of packages Renna needs to remove from the elevator to meet the mass requirement?

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.