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Based on information from the National Center for Health Statistics, the heights of 10-year-old girls closely follow a Normal distribution with mean 54.5 inches and standard deviation 2.7 inches. The heights of 10-year-old boys follow a Normal distribution with mean 54.1 inches and standard deviation 2.4 inches. A particular fourth-grade class has 10 girls and 7 boys. The children's heights are recorded on their tenth birthdays.
(a) Treat the students in this class as random samples of 10-year-old boys and girls. Use random variables to calculate the probability that the mean height of the girls is greater than the mean height of the boys. Show your work.
(b) Design a calculator simulation to estimate the probability described in (a). Describe your simulation method clearly enough so that a classmate could carry it out without further explanation from you. Then carry out your simulation. Interpret your results.
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The weights of the 100 boys in the Boy Scout Troop 829 are normally distributed with a mean of 170 pounds and a standard deviation of 5 pounds.
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The old equipment? based on the results, does the new equipment appears to be effective in reducing the variation of the weights?
Let X be a normal distributed random Variable with u=100 and o=10. the probability that X is between 70 and 100 is:
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Each time that Ed charges his credit card, he omits the cents and records only the dollar value. If this month he has charged his credit card 20 times what can be said about the probability that the record shows at least $15 less than the actual a..
a) Compute a 95% Confidence Interval for the true population proportion of successes. b) Based on this analysis can you conclude that the new system meets the requirement? Explain your conclusion.
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