Basketball strategy Late in a basketball game, the team that is behind often fouls someone in an attempt to get the ball back. Sometimes the rules put the foul shooter in a "one-and-one" sit- uation. This means that if the shooter misses the first free throw. he stops shooting and gets no points. But if he makes the first shot, he gets to shoot again. If he misses the second shot, he has scored one point; if he makes the second shot, he has scored two points. Suppose the opposing player has made 72% of his foul shots this season. a) Create a plan for a simulation to estimate the number of points he will score in a one-and-one situation. b) Here is a display of the results of 100 trials of a simulation. Use these results to estimate the average number of points he will score in one-and-one situations.​

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.