Question

Question 5 (1 point)

The owner of a local golf course wants to determine the average age of the golfers that play on the course in relation to the average age in the area. According to the most recent census, the town has an average age of 48.93. In a random sample of 24 golfers that visited his course, the sample mean was 48.1 and the standard deviation was 5.999. Using this information, the owner calculated the confidence interval of (44.66, 51.54) with a confidence level of 99%. Which of the following statements is the best conclusion?

Question 5 options:

	1) We are 99% confident that the average age of all golfers that play on the golf course is less than 48.93
	2) The percentage of golfers with an age greater than 48.93 is 99%.
	3) We cannot determine the proper interpretation based on the information given.
	4) The average age of all golfers does not significantly differ from 48.93.
	5) We are 99% confident that the average age of all golfers that play on the golf course is greater than 48.93

Question 6 (1 point)

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 15.272 strokes and you want to find a sample mean that is within 5.321 strokes of your true average for all rounds of golf with 90% confidence. How many rounds would you need to play to determine this?

Question 6 options:

	1) 33
	2) 28
	3) 22
	4) We do not have enough information to answer this question since we were not given the sample mean.
	5) 23

Question 7 (1 point)

You are in the market for a new car. You want to check whether there is a significant difference between the fuel economy of mid-size domestic cars and mid-size import cars. You sample 16 domestic car makes and find an average fuel economy of 32.487 MPG with a standard deviation of 4.082 MPG. For imports, you sample 17 cars and find an average MPG of 32.065 MPG with a standard deviation of 6.763. If a 95% confidence interval is calculated to estimate the difference between the average fuel economy of domestic and import mid-size cars, what is the margin of error? Assume both population standard deviations are equal.

Question 7 options:

	1) 3.998
	2) 3.842
	3) 2.03951345
	4) 1.96016429
	5) 3.323

Question 8 (1 point)

The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 12 men and 13 women that play on his course. He finds the average age of the men to be 49.38 with a standard deviation of 5.502. The average age of the women was 36.37 with a standard deviation of 12.14. Construct a 99% confidence interval to estimate the difference of (average age of men - average age of women). Assume the population standard deviations are the same.

Question 8 options:

	1) (3.15, 22.87)
	2) We only have the sample means, we need to know the population means in order to calculate a confidence interval.
	3) (9.18, 16.84)
	4) (2.27, 23.75)
	5) (-89.68, 115.7)

Answer 1

5. Since the confidence interval contains 48.93, so at 99% level of confidence, we can conclude that mean is not significantly different from 48.93.

ans-> 4) The average age of all golfers does not significantly differ from 48.93.

6. To find sample size (n) such that

Margin of error = 5.321

ans-> 5) 23

7.

ans-> 1) 3.998

8.

ans-> 4) (2.27, 23.75)