A restaurant has 200 orders over the course of a day. On fifty different days, 10 orders are randomly selected. The mean order price of each day is recorded on a dot plot. The simulated sampling distribution is approximately normal with a mean price of $18.40 and a standard deviation of $4.20. Based on the information provided, which statements are reasonable conclusions? Select all correct responses. Answer choices; a. The shape of the distribution of the price of the orders is approximately normal. b. The mean price of the orders in the population is close to $18.40. c. The standard deviation of the price of the orders is close to $4.20. d. Let M and S be the mean and standard deviation of the sampling distribution. Nearly all the sample means in the simulated sampling distribution will be between M − 2S and M + 2S. e. Let M and S be the mean and standard deviation of the sampling distribution. Nearly all the prices of the orders will be between M - 2S and M + 2S.
A restaurant has 200 orders over the course of a day. On fifty different days, 10 orders are randomly selected. The
distribution is approximately normal with a mean price of $18.40 and a standard deviation of $4.20. Based on the information provided, which statements are reasonable conclusions?
Select all correct responses.
Answer choices;
a. The shape of the distribution of the price of the orders is approximately normal.
b. The mean price of the orders in the population is close to $18.40.
c. The standard deviation of the price of the orders is close to $4.20.
d. Let M and S be the mean and standard deviation of the sampling distribution. Nearly all the sample means in the simulated sampling distribution will be between M − 2S and M + 2S.
e. Let M and S be the mean and standard deviation of the sampling distribution. Nearly all the prices of the orders will be between M - 2S and M + 2S.
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