5. Test score for the Manila Science High school are normally distributed with a mean of 92 and standard deviation of 13. To qualify, candidates must score in the top 10%. Find the lowest possible score to qualify.

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5. Test score for the Manila Science High school are normally distributed with a mean of 92 and standard
deviation of 13. To qualify, candidates must score in the top 10%. Find the lowest possible score to qualify.
6. Suppose that a population consists of the values 11, 13, 15, 17, and 20. Do the following:
(a) find the population mean, variance, and standard deviation;
(b) list all possible samples of size 2 selected without replacement; and
(c) find the mean, variance, and standard deviation of the sampling distribution.
7. The average price of a kilogram of ham is 1,300. Assume that the standard deviation is 150. If a random
sample of 30 one-kilogram packages is selected, find the probability that the sample will be less than 1,260.
8. The amount of time that sales managers devote to their jobs per week is normally distributed with a mean
of 55 hours and a standard deviation of 5 hours. What is the probability that 30 randomly selected sales
manager works for
(a) more than 56 hours per week?
Transcribed Image Text:5. Test score for the Manila Science High school are normally distributed with a mean of 92 and standard deviation of 13. To qualify, candidates must score in the top 10%. Find the lowest possible score to qualify. 6. Suppose that a population consists of the values 11, 13, 15, 17, and 20. Do the following: (a) find the population mean, variance, and standard deviation; (b) list all possible samples of size 2 selected without replacement; and (c) find the mean, variance, and standard deviation of the sampling distribution. 7. The average price of a kilogram of ham is 1,300. Assume that the standard deviation is 150. If a random sample of 30 one-kilogram packages is selected, find the probability that the sample will be less than 1,260. 8. The amount of time that sales managers devote to their jobs per week is normally distributed with a mean of 55 hours and a standard deviation of 5 hours. What is the probability that 30 randomly selected sales manager works for (a) more than 56 hours per week?
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