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.

If a 95% confidence interval for the mean for the wedding sample is ($23465, $24983), does this mean that the sample results are significantly different from the claimed value for the mean of $25,200?

a.     Since the claimed population mean is outside of the 95% confidence interval, we conclude that the sample results are significantly different.

b.     Since the claimed population mean is outside of the 95% confidence interval, we conclude that there is a 95% chance that the sample results are significantly different.

c.      Since the accepted population average is outside of the 95% confidence interval, we conclude that there is a 5% chance that the sample results are significantly different.

d.     Since the accepted population average is outside of the 95% confidence interval, we conclude that the sample results are not significantly different.

Explanation / Answer

correct ans is:

b.     Since the claimed population mean is outside of the 95% confidence interval, we conclude that there is a 95% chance that the sample results are significantly different.

since mean is out of the bound.

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.