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Statistical concepts/ Deviation

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1. Find the standardized variable z if x has Mean 12 and standard deviation 10. (Points : 1) ;
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Question 2. 2. Find the area under the standard normal curve to the right of z = 1.55. Round to four decimal places. (Points : 1)

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Question 3. 3. Find the area under the standard normal curve to the left of z = 2.33 (Points : 1)

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Question 4. 4. Find the area under the standard normal curve over the interval z = −0.44 to z = 0.44. Compute probabilities using the standard normal table in Appendix B (Table 3). Round the answer to four decimal places. (Points : 1)

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Question 5. 5. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 550 and a standard deviation of 100. Find the probability that a student will score over 680. ; Round your answer to four decimal places. (Points : 1)

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Question 6. 6. Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 600 and a standard deviation of 100. Find the probability that a student will score between 410 and 700. ; Round your answer to four decimal places. (Points : 1)

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Question 7. 7. A population has mean 70 and standard deviation 15. ; Calculate mean of x bar for a random sample of size 20. (Points : 1)

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Question 8. 8. A population has mean 37 and standard deviation 6. Calculate the standard deviation of x bar for a random sample of size 29. (Points : 1)

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Question 9. 9. Suppose the weights of packages of lettuce coming off a packaging line have a normal distribution with mean 8.4 ounces and standard deviation 0.4 ounce. If every package is labeled 9.2 ounces, what proportion of the packages weigh less than the labeled amount? (Points : 1)

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Question 10. 10. Suppose the weights of the contents of cans of mixed nuts have a normal distribution with mean 32.4 ounces and standard deviation 0.4 ounce.
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If two packages are randomly selected, what is the probability that the average weight is less than 32 ounces?
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Round to one decimal place. (Points : 1)

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