One year, the distribution of salaries for professional sports players had mean 1.6 million and standard deviation 0.9 million. Suppose a sample of 100 major league players was taken.
Find the approximate probability that the average salary of the 100 players that year exceeded 1.1 million.
A) approximately 0 B) .7357 C) approximately 1 D) .2357
Q. 2The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 62.
A) .1293 B) .0228 C) .4772 D) .3707
Q. 3If a z-score is 0 or near 0, the measurement is located at or near the mean.
A) True B) False
Q. 4The weight of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 12.5 ounces and a standard deviation of 0.1 ounce.
Suppose 400 bags of chips are randomly selected. Find the probability that the mean weight of these 400 bags exceeds 12.6 ounces.
A) approximately 0 B) .3085 C) .1915 D) .6915
Q. 5According to the empirical rule, z-scores of less than -3 or greater than 3 occur very infrequently for data from a mounded and symmetric distribution
A) True B) False
Q. 6Suppose that 50 and 75 are two elements of a population data set and their z-scores are -3 and 2, respectively. Find the mean and standard deviation.
What will be an ideal response?
Q. 7Suppose students' ages follow a skewed right distribution with a mean of 24 years old and a standard deviation of 5 years.
If we randomly sample 250 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?
A) The mean of the sampling distribution is approximately 24 years old.
B) The shape of the sampling distribution is approximately normal.
C) The standard deviation of the sampling distribution is equal to 5 years.
D) All of the above statements are correct.
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