# Question: In an effort to reduce health care costs many companies

In an effort to reduce health care costs, many companies are encouraging their employees to walk more. According to the Medicine & Science in Sports & Exercise Journal, Americans take an average of 5,117 steps per day. Assume the population standard deviation is 2,200 steps per day. Jim Powers is the manager of a retail store that employs 230 people and has provided each of them with a pedometer which counts the number of steps taken per day. He chooses a random sample of 45 employees and records the number of steps they walked yesterday. Assume the employee population is representative of the U. S. population.

a. What is the probability that the sample mean is less than 5,800 steps per day?

b. What is the probability that the sample mean is more than 4,800 steps per day?

c. What is the probability that the sample mean is between 4,600 and 5,000 steps per day?

a. What is the probability that the sample mean is less than 5,800 steps per day?

b. What is the probability that the sample mean is more than 4,800 steps per day?

c. What is the probability that the sample mean is between 4,600 and 5,000 steps per day?

**View Solution:**## Answer to relevant Questions

The Excel file titled states. xlsx contains the median income in 2011 for all 50 states and the District of Columbia. a. Use Excel to draw a simple random sample consisting of four states, and then calculate the sampling ...Some employers are offering their employees a Consumer Directed Health Plan (CDHP) where the employer provides employees with a sum of money from which employees can purchase their health plan from an online marketplace. The ...Quality control programs will often establish control limits that are three standard errors above and below a target mean for a process. A sample is taken from the process, and if the sample mean is within the control limits ...A random sample of 40 taxpayers with adjusted gross incomes of between $ 100,000 and $ 200,000 was drawn. These taxpayers claimed an average of $ 9,922 in medical expenses for the year. Assume the population standard ...Construct a 99% confidence interval to estimate the population mean using the following data: = 45 σ = 30 n = 40Post your question