The weekly sales at two movie theaters were recorded for a random sample of 25 weeks. A 95 percent confidence interval for the difference in mean weekly sales for the two movie theaters was calculated as ($1,288,$2,586). With all else remaining constant, which of the following would have resulted in a confidence interval narrower than the calculated interval? A sample size less than 25 A sample size less than 25 A A sample size greater than 25 A sample size greater than 25 B An increase to 99 percent confidence An increase to 99 percent confidence C A sample mean greater than $1,937 A sample mean greater than $1,937 D A sample mean less than $1,937

A sample size greater than 25

Step-by-step explanation:

Margin of error of a confidence interval:

In which z is related to the confidence level(higher confidence level means higher z) is the standard deviation of the population and n is the size of the sample.

The higher the margin of error, the wider the interval is.

To have a narrower interval:

For a narrower interval, the margin of error has to be diminished. This can be achieved reducing the confidence level, or increasing the sample size.

In this question:

There are no options that say reducing the confidence level, so we should increase the sample size, that is, a sample size greater than 25.

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i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

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