1. Heart Rates For a certain group of individuals, the average heart rate is 70 beats per minute. Assume the variable is normally distributed and the standard deviation is 3 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Round the final answers to at least four decimal places and intermediate z -value calculations to two decimal places.

Between 66 and 72 beats per minute

2. Reading Improvement ProgramTo help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 12% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is125.4 , find the cutoff score that will make a student eligible for the program. The standard deviation is17 . Assume the variable is normally distributed. RoundZ -value calculations to 2 decimal places and the final answer to the nearest whole number.

Cutoff score=

3. Qualifying Test ScoresTo qualify for a medical study, an applicant must have a systolic blood pressure in the

60% of the middle range. If the systolic blood pressure is normally distributed with a mean of

120 and a standard deviation of4 ,find the upper and lower limits of blood pressure a person must have to qualify for the study. Round final answers to1 decimal place and intermediatez -value calculations to 2 decimal places

Applicants must have a lower blood pressure limit ofand an upper blood pressure limit ofto qualify for the study.

4. High School Competency Test A mandatory competency test for high school sophomores has a normal distribution with a mean of 395 and a standard deviation of 104 . Round the final answers to the nearest whole number and intermediate z

-value calculations to 2 decimal places

decimal places.

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

The minimum score needed to receive the award is