# Question: Suppose that you are trying to compare two populations on

Suppose that you are trying to compare two populations on some variable (GMAT scores of men versus women, for example). Specifically, you are testing the null hypothesis that the means of the two populations are equal versus a two-tailed hypothesis. Are the following statements correct? Why or why not?

a. A given difference (such as five points) between sample means from these populations will probably not be considered statistically significant if the sample sizes are small, but it will probably be considered statistically significant if the sample sizes are large.

b. Virtually any difference between the population means will lead to statistically significant sample results if the sample sizes are sufficiently large.

a. A given difference (such as five points) between sample means from these populations will probably not be considered statistically significant if the sample sizes are small, but it will probably be considered statistically significant if the sample sizes are large.

b. Virtually any difference between the population means will lead to statistically significant sample results if the sample sizes are sufficiently large.

**View Solution:**## Answer to relevant Questions

This problem concerns course scores (on a 0–100 scale) for a large undergraduate computer programming course. The class is composed of both underclassmen (freshmen and sophomores) and upperclassmen (juniors and seniors). ...For years, the drug Vioxx, developed and marketed by Merck, was one of the blockbuster drugs on the market. One of a number of so-called Cox-2 anti-inflammatory drugs, Vioxx was considered by many people a miracle drug for ...Examine the relationship between the average utility bills for homes of a particular size (Y) and the average monthly temperature (X). The data in the file P10_07.xlsx include the average monthly bill and temperature for ...If you haven’t already done Problem 6 on 2006–2007 movies, do it now. The scatter plots of Total US Gross versus 7-day Gross or 14-day Gross indicate some possible outliers at the right—the movies that did great during ...Continuing Problem 8 on the 2009 golfer data in the file P10_08.xlsx, the simple linear regressions for Earnings per Round were perhaps not as good as you expected. Explore several multiple regressions for Earnings per ...Post your question