Question

Measurements were recorded for the slapshot speed of 100 minor-league hockey players. These measurements were found to be normally distributed with mean of 84.388 mph and standard deviation of 3.3706 mph. Would it be unusual to record a value above 94.6 mph?

Question 6 options:

	1) The value is borderline unusual.
	2) We do not have enough information to determine if the value is unusual.
	3) The value is unusual.
	4) It is impossible for this value to occur with this distribution of data.
	5) The value is not unusual.

According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0499 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 337 independent returns from this year, what is the probability that at least 26 will be fraudulent or will contain errors that are purposely made to cheat the IRS?

Question 7 options:

	1) 0.0083
	2) 0.0042
	3) 0.9886
	4) 0.0114
	5) 0.0197

According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0362 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 385 independent returns from this year, what is the probability that less than 9 will be fraudulent or will contain errors that are purposely made to cheat the IRS?

Question 9 options:

	1) 0.9394
	2) 0.1080
	3) 0.0237
	4) 0.0474
	5) 0.0606

Answer 1

6:

The z-score for X= 94.6 is

Since z-score is greater than 2 so it is unusual.

Correct option: 3: The value is unusual.

7:

Given that

n=337 and p=0.0499

Let X is a random variable shows the number of tax returns filed are fraudulent or will contain errors. The required probability is

Answer: 5) 0.0197

Excel function used to find the probability is "1-BINOMDIST(25,337,0.0499,TRUE)"

8:

Given that

n=385 and p=0.0362

Let X is a random variable shows the number of tax returns filed are fraudulent or will contain errors. The probability that less than 9 will be fraudulent or will contain errors that are purposely made to cheat the IRS is

Answer: 5) 0.0606

Excel function used to find the probability is "=BINOMDIST(8,385,0.0362,TRUE)"