Question

Suppose that the mean and standard deviation of the scores on a statistics exam are 87.9 and 5.76, respectively, and are approximately normally distributed. Calculate the proportion of scores above 87.

Question 1 options:

1)

0.5621

2)

0.8223

3)

0.4379

4)

0.1777

5)	We do not have enough information to calculate the value.

Question 2 (1 point)

The stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $167.817 and standard deviation of $4.6834. What is the probability that on a selected day the stock price is between $165.64 and 169.81?

Question 2 options:

1)

0.3210

2)	We do not have enough information to calculate the value.

3)

0.3352

4)

0.0062

5)

0.3438

Question 3 (1 point)

The average adult female is 65.23 inches tall with a standard deviation of 3.317. Based on this information, 86.08% of adult females are greater than what height? Assume the distribution is approximately normal.

Question 3 options:

1)

68.8

2)

61.6

3)

53.3

4)	We do not have enough information to calculate the value.

5)

77.2

Question 4 (1 point)

A certain list of movies were chosen from lists of recent Academy Award Best Picture winners, highest grossing movies, series movies (e.g. the Harry Potter series, the Spiderman series), and from the Sundance Film Festival and are being analyzed. The mean box office gross was $139.033 million with a standard deviation of $9.9558 million. Given this information, 22.83% of movies grossed less than how much money (in millions)? Assume the distribution is approximately normal.

Question 4 options:

1)

146.44

2)

131.62

3)

65.24

4)

212.82

5)	We do not have enough information to calculate the value.

Question 5 (1 point)

Measurements were recorded for the slapshot speed of 100 minor-league hockey players. These measurements were found to be normally distributed with mean of 88.421 mph and standard deviation of 3.5543 mph. Would it be unusual to record a value below 80.55 mph?

Question 5 options:

1)	The value is borderline unusual.

2)	The value is unusual.

3)	It is impossible for this value to occur with this distribution of data.

4)	We do not have enough information to determine if the value is unusual.

5)	The value is not unusual.

Question 6 (1 point)

Pinterest claims that 0.3719 of their app users are men. In a sample of 78 randomly chosen app users, what is the probability that less than 36 of them will be men?

Question 6 options:

1)

0.9590

2)

0.9345

3)

0.0245

4)

0.0655

5)

0.0122

Question 7 (1 point)

Pinterest claims that 0.3808 of their app users are men. In a sample of 74 randomly chosen app users, what is the probability that between 29 and 31 (inclusively) of them will be men?

Question 7 options:

1)

1.4148

2)

0.7467

3)

0.2533

4)

-0.0204

5)

0.1676

Question 8 (1 point)

Pinterest claims that 0.3249 of their app users are men. In a sample of 61 randomly chosen app users, what is the probability that no more than 25 of them will be men?

Question 8 options:

1)

0.9376

2)

0.0394

3)

0.8982

4)

0.0197

5)

0.0624

Question 9 (1 point)

According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 80 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent.

Question 9 options:

1)	80 , 4.458

2)	4.458 , 36.8

3)	36.8 , 4.458

4)	36.8 , 0.46

5)	36.8 , 19.90

Answer 1