Question

The average height of an adult American woman is 64 inches. Assume that σ= 3.1 inches....

The average height of an adult American woman is 64 inches. Assume that σ= 3.1 inches. A sample of 39 adult American women was taken. What is the probability that the x¯ was less than 65 inches for this sample?

A. Can’t work this; normality of x¯ not satisfied
B. 0.6265
C. 0.9780
D. 0.0220

The number of eggs that a female house fly lays during her lifetime is normally distributed with mean 840 and standard deviation 96. Random samples of size 80 are drawn from this population, and the mean of each sample is determined. What is the probability that the mean number of eggs laid would differ from 840 by less than 20? Round your answer to four decimal places.

If samples of size 39 are taken from a bimodal population, the distribution of sample means will be approximately normal. How can I be so sure of this?

A. It is a basic property of probability
B. The Law of Large Numbers says so
C. The Central Limit Theorem says so
D. The data is normal because the problem says so

The weights of boxes of a certain breakfast cereal are approximately normally distributed with a mean weight of 24 oz and a standard deviation of 0.08 oz. The lightest 5% of boxes do not meet minimum weight requirements and must be repackaged. To the nearest hundredth of an ounce, what is the minimum weight requirement for a cereal box? in ounces

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