### Estimated Standard Error, Repeated-Measures T Test, Two-Tailed Test, Statistics Quiz

Sample Mean, Hypothesis, Repeated-Measures, Reject The Null Hypothesis, Estimated Standard Error, Repeated Measures T Test, Sample Variance, Statistics, Two-Tailed Test, Hypothesis Test, Sample Size, Research Design, T Statistic, Independent-Measures, Research Study, Square Root, Variance.

A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 1.94. The treatment is expected to increase scores and the sample mean shows an increase. Which of the following is the correct decision for a hypothesis test using α = .05.

**Reject the null hypothesis with a one-tailed test but fail to reject with two tails**

Which set of characteristics will produce the smallest value for the estimated standard error

**A large sample size and a small sample variance**

If the other factors are held constant, what is the effect of increasing the sample variance

**It will increase the estimated standard error and decrease the likelihood of rejecting Ho**

With Alpha =.05 and df= 8, the critical values for a two-tailed test are t=+-2.306. assuming all other factors are held constant, if the df value were increased to df= 20, what would happen to the critical values for t

**They would decrease (move closer to zero)**

Why t statistics variabale than Z scores

**The extra variability is caused by variations in the sample variance**

For which of the following situations would a repeated- measures research design be appropriate

**Comparing pain tolerance with and without acupuncture needles**

A repeated-measures study an independent-measures study both produced a t-statistics with df = 16. How many individuals participated each study

**17 for repeated- measures and 18 for independent -measures**

Which set of characteristics will produce the smallest value for the estimated standard error

**A large sample size and a small sample variance**

The result of a one sample t-test are reported as follows: t(15) = 2.70, p<.05. Based on this report, how many individuals were in the samples

**16**

What value is estimated with a confidence interval using the t-statistic (one sample t-test)

**The value for an unknown population mean**

A researcher reports t(22) =5.30, p<.01 for an independent-measures experiment. how many individuals participated in the entire experiment

**24**

If the null hypothesis is true, what value is expected on average for the repeated-measures t statistic?

**0**

One sample has n=5 scores and the second has n=10 scores. if the polled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference

**The square root of (30/5 + 30/10)**

A research report describing the results from a repeated-measures study states that the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. Based on this report, how many individuals participated in the research study?

**11**

For which of the following situations would a repeated-measures research design be appropriate?

**Comparing pain tolerance with and without acupuncture needles**

An independent- measures research study uses two samples, each with n=12 participants. if the data produce a t statistics of tobj =2.50, then which of the following is the correct decision for a two-tailed hypothesis test

**Reject the null hypothesis with alpha=.05 but fail to reject with a=.01**

If the sample mean difference is 3 points, which of the following sets of data would produce the largest value for Cohen’s d

n=10 for both samples and a pooled variance of 15

n=20 for both samples and a pooled variance of 15

n=30 for both samples and a pooled variance of 15

**Cohen’s d is the same for all three of the samples**

Which combination of factors is most likely to produce a significant value for an independent-measures t-statistics

**Small samples and large variance**

For which of the following situations would a repeated- measures research design be appropriate

**Comparing pain tolerance with and without acupuncture needles**

A repeated-measures study an independent- measures study both produced a t-statistics with df = 16. How many individuals participated each study

**17 for repeated-measures and 18 for independent -measures**

If the null hypothesis is true, what value is expected on a average for the repeated – measures t- statistic

**0**

One sample has n=5 scores and the second has n=10 scores. if the polled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference

**The square root of (30/5 + 30/10)**

A researcher uses a repeated – measures design to compare individuals’ performance before treatment with their performance after treatment. if all of the participants show improved performance of 8 or 9 points after treatment, then the researcher should find

**The variance of the difference scores is near zero**

Which set of characteristics will produce the smallest value for the estimated standard error

**A large sample size and a small sample variance**

The result of a one sample t -test are reported as follows: t(15) = 2.70, p<.05. Based on this report, how many individuals were in the samples

**16**

A researcher reports t(22) =5.30, p<.01 for an independent-measures experiment. how many individuals participated in the entire experiment

**24**

One sample has n=5 scores and the second has n=10 scores. if the polled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference

**The square root of (30/5 + 30/10)**

For which of the following situations would a repeated-measures research design be appropriate?

**Comparing pain tolerance with and without acupuncture needles**

An independent-measures research study uses two samples, each with n=12 participants. if the data produce a t statistics of tobj =2.50, then which of the following is the correct decision for a two-tailed hypothesis test

**Reject the null hypothesis with alpha=.05 but fail to reject with a=.01**

If the sample mean difference is 3 points, which of the following sets of data would produce the largest value for Cohen’s d

n=10 for both samples and a pooled variance of 15

n=20 for both samples and a pooled variance of 15

n=30 for both samples and a pooled variance of 15

**Cohen’s d is the same for all three of the samples**

Which combination of factors is most likely to produce a significant value for an independent-measures t-statistics

**Small samples and large variance**

For which of the following situations would a repeated-measures research design be appropriate

**Comparing pain tolerance with and without acupuncture needles**

A repeated-measures study an independent-measures study both produced a t-statistics with df = 16. How many individuals participated each study

**17 for repeated-measures and 18 for independent-measures**

Which set of characteristics will produce the smallest value for the estimated standard error

**A large sample size and a small sample variance**