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. A waiter believes that his tips from various customers have a slightly right skewed distribution with a mean of RM10.00 and standard deviation of

. A waiter believes that his tips from various customers have a slightly right skewed distribution with a mean of RM10.00 and standard deviation of RM2.50

a. What is the shape of the sampling distribution of the tips from 35 randomly selected customers? Justify your answer

b. What is the probability that the sample mean of 35 customer tips will be between RM9.00 and RM9.50?

c. What is the probability that the sample mean of 40 customers tips will be between RM9.00 and RM9.50?

d. Based on your answer in (b) and (c), what is your conclusion?

In the year of 2010, according to a report by the National Center for Health Statistics, 19.4 percent of the adult male population of a district was obese. Suppose the adult male in one particular district is 900, and a sample of 50 from this population was taken.

a. Compute the standard error

b. What is the probability that fewer than 15 percent will be obese?

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