Question

You are curious about the average number of yards Matthew Stafford throws for each game for...

You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 23 games and see that the average yards per game is 344.5 with a standard deviation of 27.8 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate?

Question 1 options:

1)

1.5833

2)

5.7967

3)

12.0216

4)

9.9538

5)

11.9914

Question 2 (1 point)

A company seeks to employ a new public relations manager. The hiring committee surveys 15 public relations managers and finds the average salary is $97785.415 with standard deviation of $1764.941. What is the 95% confidence interval for the true average public relations manager salary?

Question 2 options:

1)

( 96814.306 , 98756.524 )

2)

( -96808.023 , 98762.807 )

3)

( 97783.27 , 97787.56 )

4)

( 97329.709 , 98241.121 )

5)

( 96808.023 , 98762.807 )

Question 3 (1 point)

Suppose you want to determine the average height of college basketball players in NCAA Division I. In a random sample of 15 players, the sample average is 71.271 inches with a standard deviation of 5.2883 inches. What is the 95% confidence interval for the average height of all NCAA D-I players?

Question 3 options:

1)

( 69.906 , 72.636 )

2)

( 69.126 , 73.416 )

3)

( 68.361 , 74.181 )

4)

( -68.342 , 74.2 )

5)

( 68.342 , 74.2 )

Question 4 (1 point)

In a climate survey, it was determined that in a random sample of 22 days, the average temperature in Kalamazoo at 2:00 PM in the months of July and August is 78.1 degrees with a standard deviation of 3.563 degrees. Using this information, a 99% confidence interval for the average is (75.95, 80.25). Which of the following is the appropriate interpretation of this interval?

Question 4 options:

1)

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 75.95 and 80.25.

2)

We are certain that 99% of the days in the months of August and July will have a temperature at 2:00 PM between 75.95 and 80.25.

3)

We are 99% confident that the proportion of all days' temperatures will fall between 75.95 and 80.25.

4)

We are 99% confident that the average daily temperature for the months of July and August at 2:00 PM is between 75.95 and 80.25.

5)

We cannot determine the proper interpretation of this interval.

Question 5 (1 point)

You read an article in Golf Digest that someone with your average drive distance will have an average score of 70.38. You keep track of your scores for the next 14 rounds and see that your average score is 76.29 with a standard deviation of 1.13 strokes. You create a 95% confidence interval for your average score and it is (75.64, 76.94). Given this information, what is the best conclusion?

Question 5 options:

1)

We are 95% confident that your average score is greater than 70.38.

2)

We are 95% confident that your average score is less than 70.38.

3)

The average score does not significantly differ from 70.38.

4)

We cannot determine the proper interpretation based on the information given.

5)

The percentage of rounds in which you score more than 70.38 is 95%.

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 22.61 strokes and you want to find a sample mean that is within 7.856 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 6 options:

1)

55

2)

We do not have enough information to answer this question since we were not given the sample mean.

3)

65

4)

60

5)

54

Question 7 (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 30 men and 22 women that play on his course. He finds the average age of the men to be 38.866 with a standard deviation of 6.841. The average age of the women was 43.341 with a standard deviation of 8.898. If a 90% confidence interval is calculated to estimate the difference between the two average ages, what is the margin of error? Assume both population standard deviations are equal.

Question 7 options:

1)

2.833

2)

3.588

3)

2.18140742

4)

1.67590503

5)

3.656

Question 8 (1 point)

It is believed that using a solid state drive (SSD) in a computer results in faster boot times when compared to a computer with a traditional hard disk (HDD). You sample 10 computers with an HDD and note a sample average of 30.001 seconds with a standard deviation of 6.7637 seconds. A sample of 12 computers with an SSD show an average of 9.316 seconds with a standard deviation of 1.7934 seconds. Construct a 95% confidence interval for the difference between the true average boot times of the two types of hard drives. Assume the difference will represent (HDD-SSD) and that the population standard deviations are statistically the same.

Question 8 options:

1)

(16.462, 24.908)

2)

(16.717, 24.653)

3)

(0.718, 40.652)

4)

(18.661, 22.709)

5)

We only have the sample means, we need to know the population means in order to calculate a confidence interval.

Question 9 (1 point)

A pharmaceutical company is testing a new drug to increase memorization ability. It takes a sample of individuals and splits them randomly into two groups. One group is administered the drug, and the other is given a placebo. After the drug regimen is completed, all members of the study are given a test for memorization ability with higher scores representing a better ability to memorize. You are presented a 90% confidence interval for the difference in population mean scores (with drug - without drug) of (-24.07, -9.68). What can you conclude from this interval?

Question 9 options:

1)

We are 90% confident that the difference between the two sample means falls within the interval.

2)

There is no significant difference between the average memorization abilities for those on the drug compared to those not on the drug.

3)

We are 90% confident that the average memorization ability of those not on the drug is higher than those who are on the drug.

4)

We do not have enough information to make a conclusion.

5)

We are 90% confident that the average memorization ability of those on the drug is higher than those who are not on the drug.

Question 10 (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 20 domestic car makes and find an average fuel economy of 34.451 MPG with a standard deviation of 4.727 MPG. For imports, you sample 12 cars and find an average MPG of 30.351 MPG with a standard deviation of 8.811. You use this information to calculate a 99% confidence interval for the difference in mean fuel economy of (-2.456, 10.656). Of the following statements, what is the best interpretation of this interval?

Question 10 options:

1)

We do not know the population means so we do not have enough information to make an interpretation.

2)

We are 99% sure that the average difference in fuel economy of all domestic cars and all import cars is between -2.456 and 10.656.

3)

We are 99% confident that the difference between the average fuel economy of all domestic mid-size cars and all import mid-size cars surveyed is between -2.456 and 10.656.

4)

We are certain that the difference between the average fuel economy of all domestic mid-size cars and all import mid-size cars is between -2.456 and 10.656.

5)

We are 99% confident that the difference between the average fuel economy of all domestic mid-size cars and all import mid-size cars is between -2.456 and 10.656.

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