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1) A set of 50...

1) A set of 50 data values has a mean of 27 and a variance of 16.

I. Find the standard score (z) for a data value = 19.

II. Find the probability of a data value < 19.

2) Find the area under the standard normal curve:

I. to the right of z = -2.01

II. to the left of z = -2.01

3) Assume that the population of heights of male college students is approximately normally distributed with mean of 69 inches and standard deviation of 3.75 inches. Please show all work.

(A) Find the proportion of male college students whose height is greater than 70 inches.

(B) Find the proportion of male college students whose height is no more than 70 inches.

4) The diameters of apples in a certain orchard are normally distributed with a mean of 5.60 inches and a standard deviation of 0.55 inches. Show all work.

(A) What percentage of the apples in this orchard have diameters less than 6.1 inches?

(B) What percentage of the apples in this orchard are larger than 5.95 inches?

5) Find the normal approximation for the binomial probability that x = 5, where n = 12 and p = 0.7. Compare this probability to the value of P(x=5).

6) A set of data is normally distributed with a mean of 100 and standard deviation of 15.

•What would be the standard score for a score of 85?

•What percentage of scores is between 100 and 85?

•What would be the percentile rank for a score of 85?

I. Find the standard score (z) for a data value = 19.

II. Find the probability of a data value < 19.

2) Find the area under the standard normal curve:

I. to the right of z = -2.01

II. to the left of z = -2.01

3) Assume that the population of heights of male college students is approximately normally distributed with mean of 69 inches and standard deviation of 3.75 inches. Please show all work.

(A) Find the proportion of male college students whose height is greater than 70 inches.

(B) Find the proportion of male college students whose height is no more than 70 inches.

4) The diameters of apples in a certain orchard are normally distributed with a mean of 5.60 inches and a standard deviation of 0.55 inches. Show all work.

(A) What percentage of the apples in this orchard have diameters less than 6.1 inches?

(B) What percentage of the apples in this orchard are larger than 5.95 inches?

5) Find the normal approximation for the binomial probability that x = 5, where n = 12 and p = 0.7. Compare this probability to the value of P(x=5).

6) A set of data is normally distributed with a mean of 100 and standard deviation of 15.

•What would be the standard score for a score of 85?

•What percentage of scores is between 100 and 85?

•What would be the percentile rank for a score of 85?

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