9 Stat questions FOR STRONGHEART ONLY

1. The standard normal distribution has mean ________ and standard deviation ______

2. For the standard normal distribution, what is the distance from 0 to 3.1 in standard deviations? ________

3.For a random variable with mean 64.7 and standard deviation 16.3, what is the z-score of 42.51? (Round your answer to two decimal places.) _________

4.If x is normally distributed and the z-score of the x-value 89.9 is 2.13, then P(x<89.9) = _________ (Round your answer to four decimal places.)

5.If the random variable x counts the number of successes in a binomial experiment with p=0.25 and n=257, then, approximately,

A. x∼N(64.25,6.94)
B. x∼N(192.75,6.94)
C. x∼N(257,0.75)
D. x∼N(6.94,64.25)

6.A data set is from a normally distributed population with mean 74.12 and standard deviation 12.17. If the z-score of the data value x is -0.748, then x= . ________(Round your answer to four decimal places.)

7. What z-score is associated with the 62TH percentile? . _______ (Round your answer to two decimal places.)

8. What z-scores bound the middle 94% of the standard normal distribution? Round your answers to two decimal places.

Left endpoint: ______Right endpoint: _______

9. Find z such that 77% of the area under the standard normal distribution lies between −z and z. Round your answer to two decimal places.

z= _________