Many couples believe that it is getting too expensive to host an “average” weddi

Question

Many couples believe that it is getting too expensive to host an “average” wedding in the United States. According to a statistics study in the U.S., the average cost of a wedding in the U.S. in 2014 was $25,200. Recently, in a random sample of 35 weddings in the U.S. it was found that the average cost of a wedding was $24,224 with a standard deviation of $2,210.

Which is the best interpretation of a 95% confidence interval for the sample mean?

a.     The 95% confidence interval means that we are 95% confident that the sample mean is between the low and high interval values.

b.     The 95% confidence interval means that there is a 95% probability that the population mean is between the low and high interval values.

c.      The 95% confidence interval means that we are 95% confident that the population mean is between the low and high interval values.

d.     The 95% confidence interval means that there is a 95% probability that the sample mean is between the low and high interval values.

Explanation / Answer

c.      The 95% confidence interval means that we are 95% confident that the population mean is between the low and high interval values.

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