True or False? 1. A sample size increases, the critixcal boundaries for a two-ta

Question

True or False?

1. A sample size increases, the critixcal boundaries for a two-tailed test with alpha=.05 will more closer to zero.

2. For a two-tailed test with alpha= .05 and a sample of n=16, the boundaries for the critical region are t= +/- 2.120

3. For a one-tailed test with alpha=.05 and a sample of n=9, the criticaxl value for the t statiscs is t=1.860

4. If other factors are held constant, as the sample size increases, the estimated standard error decreases.

5. In general, the larger the value of the sample variance, the greater the likelihood of rejecting the null hypothesis

Explanation / Answer

t is symmetric about 0.as sample size increases the critical value decreases and gets closer to 0

True

2. False. Excel function is tinv(0.05,15) = 2.131

3.True excel function is tinv(0.1,8)

4. True. Standard error = sigma / sqrt(n). Standard error is inversely proportional to sample size

5. False. The test statistic is inversely proportinoal to sample variance. Hence larger the sample variance smaller the test statistic and greater the likely hood of not rejecting the null hypothesis

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