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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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