Would each of the following increase, decrease, or have no effect on the value o

Question

Would each of the following increase, decrease, or have no effect on the value of the test statistic for a related samples t-test? (a) The level of significance is reduced from 0.05 to 0.01. This change will increase the value of the test statistic. This change will decrease the value of the test statistic. This change will have no effect on the value of the test statistic. (b) The sample size is increased. This change will increase the value of the test statistic. This change will decrease the value of the test statistic. This change will have no effect on the value of the test statistic. (c) The estimated standard error for difference scores is doubled This change will increase the value of the test statistic. This change will decrease the value of the test statistic. This change will have no effect on the value of the test statistic. (d) The mean difference is decreased This change will increase the value of the test statistic. This change will decrease the value of the test statistic. This change will have no effect on the value of the test statistic.

Explanation / Answer

(a) For lowering of level of significance, test statistic value will increase.

(b) For increase in sample size, test statistic value will increase.

(c)For doubling estimated standard error for difference scores, test statistic value will decrease.

(d) For decrease in mean difference, test statistic value will decrease.

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