Here are the IQ scores for the 15 first-grade girls from the study mentioned in Example 14.8. 102 96 106 118 108 122 115 113 109 113 82 110 121 110 99 Assume the same prior distribution used in Example 14.8, and assume that the data is a random sample from a normal distribution with mean m and s ¼ 15. a. Find the posterior distribution of m. b. Find a 95% credibility interval for m. c. Add four observations with average 110 to the data and find a 95% confidence interval for m

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)