Question 6 2 Points Suppose that students who finished JHS in a public school get an average of 5.7 hours of sleep each night with a standard deviation deviation of 1.7 hours. What is the probability that a random selected group of 35 public school students get more than 6 hours of sleep, on the average, each night? A 45.45% B 1.04% 15.15% D 42.86%Question 7 2 Points A study about the level of happiness is done among SHS students. The scores follow a normal distribution between 1 to 5, which 5 is being the highest. If the population mean is 3 with the standard deviation of 1.7, what is the probabiltiy that the mean level of happiness of 31 students is higher than 4? A 0.03% B 6% 0.06% D 3%Question 8 2 Points True or False: Statement A: The sampling distribution of a statistic is the probability distribution for the possible values of the statistic that results when the random samples of size are repeatedly drawn from the population. Statement B: The central limit theorem states that if we draw random samples of size n from X, then when n is large, the sampling distribution of the sample mean tend to be normal, having a mean that is the same as u, and a variance equal to of. A The first statement is TRUE but the second statement is FALSE. B The first statement is FALSE but the second statement is TRUE. Both the first and the second statements are FALSE. D Both the first and the second statements are TRUE.Question 9 2 Points The entrance test scores for SHS in a certain school has a mean of 85 and a standard deviation of 8.5. If a sample of 40 test takers are selected at random, what is the probability that the mean score of this group is higher than 85? A 25% B 50% 100% D 0%Question 10 2 Points Regardless of the kind of workout a gym goer does, the mean time spent on the treadmill is 45 minutes, with a standard deviation of 15 minutes. This includes warm up and cool down. Consider 36 randomly selected gym goers. Within which limits will 80% of their average fall? A 80% of the means will fall between 44.5 and 50.1. B 80% of the means will fall between 44.8 and 49.2. 80% of the means will fall between 49.7 and 52.2. D 80% of the means will fall between 41.8 and 48.2