Question

QUESTION 6 Using Table A, p.690-691, the area to the right of the z score 0.52 would be a. 0.52 b. 0.6985 c. 0.3015 d. -0.52

QUESTION 7 The data point 91 is taken from a normal distribution that has a mean of 75 and a standard deviation of 8. What is the z-score of the data point? Round to the nearest hundredth.

QUESTION 8 A data point is taken from a normal distribution that has a mean of 15.4 and a standard deviation of 0.25. If the z-score of the data point is -1, then what is the value of the data point? Round to the nearest tenth

QUESTION 9 A normal distribution for weights of filled cereal boxes has a mean of 17.98 ounces and a standard deviation of 0.1144 ounces. What is the z-score for the weight of 17.91 ounces? Round to the nearest hundredth

QUESTION 10 A data point is taken from a normal distribution that has a mean of 99 and a standard deviation of 0.4. If the z-score of the data point is 2.57, then what is the value of the data point? Round to the nearest hundredth.

Answer 1

6)

The area to the right of the z score 0.52

That is we have to find P(Z > 0.52)

P(Z > 0.52) = 1 - P(Z < 0.52) = 1 - 0.6985 = 0.3015 ( From z table)

c. 0.3015

7)

x = 91

Mean = = 75

Standard deviation = = 8

The z score of the data point = 2

8)

Mean = = 15.4

Standard deviation = = 0.25

z = - 1

We have to find the value of x

9)

Mean = = 17.98

Standard deviation = = 0.1144

x = 17.91

10)

Mean = = 99

Standard deviation = = 0.4

z = 2.57