To select groups for a project, a teacher asked her students to select a colored marble from a bag and hold on to it. Then, whoever had the same colored marbles at the end of the drawing process were in the same group. If Emily and Libby wanted to calculate the probability that they picked the same colored marble, would they have to consider this event as independent or dependent? Explain your answer in a complete sentence. You do not need to actually calculate the probability

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.