Question

QUESTION 3: As an avid golfer, you want to estimate your average score for 18 holes of golf. Suppose you know that the standard deviation of your score is 18.337 strokes and you want to find a sample mean that is within 5.982 strokes of your true average for all rounds of golf with 99% confidence. How many rounds would you need to play to determine this?

QUESTION 4: In a climate survey, it was determined that in a random sample of 18 days, the average temperature in Kalamazoo at 2:00 PM in the months of July and August is 81.15 degrees with a standard deviation of 3.575 degrees. Using this information, a 95% confidence interval for the average is (79.372, 82.928). Which of the following is the appropriate interpretation of this interval?

QUESTION 5: In a climate survey, it was determined that in a random sample of 23 days, the average temperature in Kalamazoo at 2:00 PM in the months of July and August is 77.59 degrees with a standard deviation of 3.712 degrees. Using this information, a 99% confidence interval for the average is (75.408, 79.772). Which of the following is the appropriate interpretation of this interval?

1)	We are 99% confident that the average daily temperature for the months of July and August at 2:00 PM is between 75.408 and 79.772.

2)	We are 99% confident that the proportion of all days' temperatures will fall between 75.408 and 79.772.

3)	We are certain that 99% of the days in the months of August and July will have a temperature at 2:00 PM between 75.408 and 79.772.

4)	We are 99% confident that the average daily temperature for the months of July and August at 2:00 PM for the days recorded is between 75.408 and 79.772.

5)	We cannot determine the proper interpretation of this interval.

Answer 1

Q3. Given, standard deviation of score is 18.337 strokes.

We want to find the sample size required to be 99% confidence that mean is within 5.982 strokes of true average.

That is Margin of error =5.982

n=62.5460

the sample size required to be 99% confidence is =63

Q.4 ) We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM is between 79.372 and 82.928.

Q.5) We are 99% confident that the average daily temperature for the months of July and August at 2:00 PM is between 75.408 and 79.772.