2. The sampling distribution of the mear Aa Aa There are 505 full-service restau

Question

2. The sampling distribution of the mear Aa Aa There are 505 full-service restaurants in North Dakota. The mean number of seats per restaurant is 74.1. [Data source: U.S. Census Bureau; data based on the 2002 economic census.] Suppose that the North Dakota Tourism Board doesn't know that the population mean is 74.1. The North Dakota Tourism Board selects a simple random sample of 25 full-service restaurants located within the state in order to estimate . The North Dakota Tourism Board to use the finite population correction when computing the standard deviation of the sampling distribution of the mean. The standard deviation of the sampling distribution of the mean is 4.20. This value (4.20) is also called the the experiment many times. Which of the following describes how you would repeat the experiment many (say 10) times? of the mean, because it represents the variability you would expect to see if you repeated You would select 10 random samples of 25 full-service restaurants located within the state and calculate the mean number of seats across the 250 restaurants. You would randomly select 10 full-service restaurants within the state and calculate the mean number of seats across the 10 restaurants. 0 You would select 10 random samples of 2S full-service restaurants located within the state and calculate the mean number of seats in each of the 10 samples. When you repeat the experiment 10 times, what do you expect to happen? O The means you calculate should each be close to 74.1, but because of sampling error, they are not likely to be exactly 74.1. O The mean s of each sample will be different, but when you calculate the mean across the 250 restaurants, the mean will be 74.1 O The means you calculate will always be equal to 74.1, because that is the true population mean

Explanation / Answer

The standard deviation of sampling distribution of mean is 4.20. This value is also called the standard error of sampling distribution of mean .

How would you repeat the experiment

You would select 10 random samples of 25 full time restaurants located within state and calculate the mean number of seats in each of the 10 sample

Expect to happen

The means of wach sample will be different, but when you calculate mean accross the 25 restaurant, the mean will be equal to 74.1

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