The Center for Disease Control and Prevention recommends that adults get 150 minutes of exercise per week. Data will be collected from a random sample of 500 OLDER ADULTS (ages 65 and over) in the U.S

The Center for Disease Control and Prevention recommends that adults get 150 minutes of exercise per week. Data will be collected from a random sample of 500 OLDER ADULTS (ages 65 and over) in the U.S

The Center for Disease Control and Prevention recommends that adults get 150 minutes of exercise per week. Data will be collected from a random sample of 500 OLDER ADULTS (ages 65 and over) in the U.S. to determine how many minutes per week they exercise. Assume that, based on previous research, the standard deviation is known to be 130 minutes.

1.       Testing at a 5% level of significance, for what values of the sample mean will the null hypothesis be rejected? Show your work.

2.       Testing at a 5% level of significance, if the true population mean is 140 minutes what is the power of the test? Show your work.