# Estimated Standard Error – Statistic Quiz

### 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

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

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