Inferential Statistics

The study found the following:

• $818$ of the females in the sample exercise on a regular basis.
• $924$ of the males in the sample exercise on a regular basis.
• The average time that the $1742$ students who exercise on a regular basis ($818 + 924$) spend exercising per week is$4.2$ hours.

1. What is the point estimate for the proportion of all female college students who exercise on a regular basis?
2. What is the point estimate for the proportion of all college students who exercise on a regular basis?
3. Which of the following has a point estimate of $4.2$?
   • The mean time that all college students who exercise on a regular basis spend exercising per week
   • The mean time that all college students spend exercising per week
   • The percentage of all college students who exercise on a regular basis

Which of the following is true regarding x̄, the average number of hours that the 150 sampled students exercise per week?

• It is an unbiased estimate for $µ$.
• It is not an unbiased estimate for $µ$ and probably underestimates $µ$.
• It is not an unbiased estimate for $µ$ and probably overestimates $µ$.

• A random sample of $10,000$ U.S. families with children from the state of Utah
• A random sample of $500$ U.S. families with children
• A random sample of $5,000$ U.S. families with children
• A random sample of $1,000$ U.S. families