Show your work.   Benihana Japanese restaurant in Cupertino has determined that the mean number of minutes it takes for each customer to dine is 45 with a standard deviation of 11 minutes. The restaurant plans to choose a random sample of n = 15 customers and determine the sample mean. Which of the following statements is true in this case?   a. The sampling error will be larger than if they had sampled n = 64 customers.   b. The sampling distribution may actually be approximately normally distributed depending on what the population distribution is.   c. There is no way to determine what the mean of the sampling distribution is without knowing the specific shape of the population.   d. The sampling distribution will have the same distribution as the population, provided that the population is not normally distributed.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Show your work.
 
Benihana Japanese restaurant in Cupertino has determined that the mean number of minutes it takes for each customer to dine is 45 with a standard deviation of 11 minutes. The restaurant plans to choose a random sample of n = 15 customers and determine the sample mean. Which of the following statements is true in this case?
 
a. The sampling error will be larger than if they had sampled n = 64 customers.
 
b. The sampling distribution may actually be approximately normally distributed depending on what the population distribution is.
 
c. There is no way to determine what the mean of the sampling distribution is without knowing the specific shape of the population.
 
d. The sampling distribution will have the same distribution as the population, provided that the population is not normally distributed.
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