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5. The diameters of grapefruits in...

5. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.52 inches and a standard deviation of 0.46 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.45 inches?

(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.45 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 5.07, how large a sample is needed to get the desired information to be accurate within 0.66 decibels? Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.45 inches?

(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.45 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 5.07, how large a sample is needed to get the desired information to be accurate within 0.66 decibels? Show all work.

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