1a) Qualifying Test Scores To qualify for a medical study, an applicant must have a systolic blood pressure in the 60% of the mi
ddle range. If the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 3, find the upper and lower limits of blood pressure a person must have to qualify for the study. Round final answers to one decimal place. Applicants must have a lower blood pressure limit of ___ and an upper blood pressure limit of ____to qualify for the study.
b) Bottled Drinking Water Americans drank an average of 23.2 gallons of bottled water per capita in 2004. If the standard deviation is 2.7 gallons and the variable is normally distributed, find the following probabilities. Use a graphing calculator and round the answers to four decimal places.
More than 25 gallons of bottled water.
p (more than 25 gallons of bottled water)=?
c) Police Academy Acceptance Exams In order to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 60 and a standard deviation of 6. If only the top 17% of the applicants are selected, find the cutoff score. Use a graphing calculator and round the answer to the nearest whole number.
The cutoff score for the top 17% of the scores is=?
d) The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.
What is the probability that a randomly selected teacher makes less than $50,000 per year?
