Reading Improvement Program to helpstudents improve their reading, a school district decides toimplement a reading program. It is to be administered to the bottom5% of the students in the district, based on the scores on areading achievement exam. If the average score for the students inthe district is 122.6, find the cutoff score that will make astudent eligible for the program. The standard deviation is 18.Assume the variable is normally distributed.

Used Car Prices an automobiledealer finds that the average price of a previously owned vehicleis $8256. He decides to sell cars that will appeal to the middle60% of the market in terms of price. Find the maximum and minimum prices of the cars the dealer will sell. The standard deviation is$1150, and the variable is normally distributed.

High School Competency Test amandatory competency test for high school sophomores has a normaldistribution with a mean of 400 and a standard deviation of100.

a) The top 3% of students receive $500. What is the minimum score you would need to receive this award?

b) The bottom 1.5% of students must go to summerschool. What is the minimum score you would need to stay out of this group?

Cost of Groceries If aone-person household spends an average of $40 per week ongroceries; find the maximum and minimum dollar amounts spent perweek for the middle 50% of one-person households. Assume that thestandard deviation is $5 and the variable is normallydistributed.

Security Officer Stress Tolerance to qualify for security officers' training, recruits istested for stress tolerance. The scores are normally distributed,with a mean of 62 and a standard deviation of 8. If only the top15% of recruits are selected, find the cutoff score.