8) (12 points) Let x be a random pariable that represents the length of time it takes a student to write a response paper. It was found that x has an approximately normal distribution with mean - 6. 1 hours and standard deviation- 2.3 hours. a) (6 Points) What is the probability that it takes at least 7 hours for a student to write a response paper? On the bell curve shade the area that corresponds to at least 7 hrs. b) (6 Points) Suppose that 22 students are selected at random. What is the probability that the mean time of writing a paper for those 22 students is not more than 5 hours? On the bell curve shade the area that corresponds to les than 5 hours 9) (12 Points) A random sample of 10 candy store franchises had a mean startup cost off $106.90 thousand and a standard deviation -$29.40 thousand. Find a 90% confidence interval for the population average startup cost g for candy store franchises. Assume that g has a distribution that is approximately normal. a) (3 Points) Write the data and based on it, decide what distribution you will use. Data: Distribution: b) (3 Points) Use the appropriate formula to find the maximal error E c) (3 Points) Write the confidence interval: d) (3 Points) Interpret your results in a few sentences.