Question

True or false?:

13) For a sample mean, the 99% confidence interval is wider than the 95% confidence interval. 14) The larger the sample size the more likely x̅ is close to μ.

15) Changing sample size has no effect on power when using the t test.

16) For the independent two-sample t test, increasing sample variances decreases power.

Answer 1

Ans:

13)True,Larger the confidence level,wider the confidence interval.

14)False,as larger the sample size,larger the test statistic,smaller the p-value,more likely to reject the null hypothesis.

15)False,larger the sample size,larger the power,as we will be more likely to reject the null hypothesis.

16)True,Increasing the sample variance,increases the standard error,hence decreases the test statistic value,less likely to reject the null hypothesis,larger the probability of type II error and lower the power