Question

Based on all student records at Camford University, students spend an average of 5.30 hours per week playing organized sports. The population’s standard deviation is 3.20 hours per week. Based on a sample of 64 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. Compute the standard error of the sample mean. (Round your answer to 2 decimal places.)

Answer 1

The standard error of the sample mean is
`\sigma_(\= x ) = 0.40`

Explanation:

From the question we are told that

The population mean is
`\mu = 5.30 \ hours`

The population standard deviation is
`\sigma = 3.20 \ hours`

The sample size is
`n = 64`

Generally the standard error of the sample mean is mathematically represented as

`\sigma_(\= x ) = (\sigma)/(√(n) )`

substituting values

`\sigma_(\= x ) = (3.20)/(√(64) )`

`\sigma_(\= x ) = 0.40`