Answer :
The standard deviation of the distribution of sample means (that is, the standard error, sigma_m) is; 2.9698
How to find the standard error of mean?
From the complete question written below, we are given that;
Mean Number; M = 103.4
Standard deviation; σ = 21
Sample size; n = 50
Now, in statistics, the formula for the standard error of mean is;
σM = σ/√n
Plugging in the relevant values gives us;
σM = 21/√50
σM = 2.9698
The z score typical average difference between the mean number of seats is;
z = (103.4 - 99.2)/( 2.9698 )
z = 1.41
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Complete Question is;
There are 559 full-service restaurants in Delaware. The mean number of seats per restaurant is 99.2. [Source: Data based on the 2002 Economic Census from U.S. Census Bureau.]
Suppose that the true population mean mu = 99.2 and standard deviation sigma = 21 are unknown to the Delaware tourism board. They select a simple random sample of 50 full-service restaurants located within the state to estimate mu. The mean number of seats per restaurant in the sample is M = 103.4, with a sample standard deviation of s = 18.2. The standard deviation of the distribution of sample means (that is, the standard error, sigma_m) is_.
