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Show all work 18. A grocery manager is interested in estimating the average shopping time of the customers in his store. He randomly selects 64

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18. A grocery manager is interested in estimating the average shopping time of the customers in his store. He randomly selects 64 customers and computes the average time spent shopping to be 33 minutes, with a standard deviation of 16 minutes. After making a histogram of the data, he finds that the distribution is right skewed due to a few customers with very long shopping times. Which statement is not true? (3 pts) a) A sample of 64 is large enough for the central limit theorem to apply to the sampling distribution of the sample mean. b) Decreasing the sample size has no effect on the sampling distribution of the sample mean. C) Increasing the sample size will reduce the variability of the sample mean. d) Decreasing the sample size well below 30 will mean the sampling distribution of the sample mean is not normally distributed

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