What type of test for population means should be performed when employees are first tested, trained,...
What type of test for population means should be performed when employees are first tested, trained, and then retested?
Multiple Choice
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A z test under independent sampling with known population variances.
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A t test under independent sampling with unknown but equal population variances.
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A t test under dependent sampling.
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A t test under independent sampling with unknown and unequal population variances.
Homework Answers
Answer:
A t test under dependent sampling.
Explanation:
For the given scenario, the samples are dependent samples. Given experiment produced paired data. There is a one-to-one relationship between observations of both samples. So, we need to use t test under dependent sampling or paired t test.
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What type of test for population means should be performed when
employees are first tested, trained,...
comparing the means of twoindependent population when the population variances are known andunknown1....
Comparing the means of two
independent population when the population variances are known and
unknownSuppose you conduct a study and intend to use a hypothesis test to compare the means of two independent populations. Your null hypothesis is that the two means are equal. That is, \(\mathrm{H}_{0}: \mu_{1}=\mu_{2}\), or equivalently, \(\mathrm{H}_{0}: \mu_{1}-\mu_{2}=0\). Following is a table of the information you gather. Assume the populations from which your samples are drawn are both normally distributed.Sample SizeSample MeanSample VarianceSample 1n_(1)=41bar(x)_(1)=14.3s_(1)^(2)=67.24Sample 2n_(2)=21bar(x)_(2)=13.6s_(2)^(2)=46.24
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only need 2-sample t-test for equal variance filled out 1. Create a table using the provided...
only need 2-sample t-test for equal variance filled
out
1. Create a table using the provided headings for the following tests. The comparison is what is being statistical tested. The other assumptions column should be any additional information needed to distinguish when that test is used as compared to the other tests in the table. (5 pts) Tests to include: 2-sample t-test for equal variance, 2-sample t-test for unequal variance, Mann-Whitney U-test, Z-test, Paired t-test, Wilcoxon Signed Rank Test, 1-Sample...
A t-test should be used when: Select one: a. The population variance is known b. the...
A t-test should be used when: Select one: a. The population variance is known b. the population variance is unknown c. the sample size is small d. (a) and (c)
Problem 5. (20 points) We have k independent samples from normal distributions with the same variances. We want to test the global hypothesis that all population means are the same. We decided to byp...
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1. Why do we need different formulas to calculate test statistics and obtain p-values? Select all that apply. V The choice of test statistic depends on whether data is randomly sampled or not; this determines the sampling distribution. The choice of test statistic is arbitrary, choose whichever seems easiest to use at the time. The choice of test statistic is up to the statistician. We can choose any of the given test statistics to test any of the hypotheses so...
When you conduct a t test for independent means, ____. Group of answer choices you reject...
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Comparing the means of two
independent population when the population variances are known and
unknownSuppose you conduct a study and intend to use a hypothesis test to compare the means of two independent populations. Your null hypothesis is that the two means are equal. That is, \(\mathrm{H}_{0}: \mu_{1}=\mu_{2}\), or equivalently, \(\mathrm{H}_{0}: \mu_{1}-\mu_{2}=0\). Following is a table of the information you gather. Assume the populations from which your samples are drawn are both normally distributed.Sample SizeSample MeanSample VarianceSample 1n_(1)=41bar(x)_(1)=14.3s_(1)^(2)=67.24Sample 2n_(2)=21bar(x)_(2)=13.6s_(2)^(2)=46.24
Question 16 (1 point) A t-test equation can be used to estimate sample size and power? O 1) True O 2) False Save Question 17 (1 point) The standard error the mean is not used in independent t tests? O 1) True O 2) False Save Question 18 (1 point) Before you determine the p-value of an independent t test you should first determine if the variances are equal. You havea greater chance of rejecting the null if the variances...
only need 2-sample t-test for equal variance filled
out
1. Create a table using the provided headings for the following tests. The comparison is what is being statistical tested. The other assumptions column should be any additional information needed to distinguish when that test is used as compared to the other tests in the table. (5 pts) Tests to include: 2-sample t-test for equal variance, 2-sample t-test for unequal variance, Mann-Whitney U-test, Z-test, Paired t-test, Wilcoxon Signed Rank Test, 1-Sample...
Problem 5. (20 points) We have k independent samples from normal distributions with the same variances. We want to test the global hypothesis that all population means are the same. We decided to bypass the ANOVA step and carry out t-tests to assess the differences between all pairs of means. Find the type I error rate for the global test (at alpha level of 0.05) if we use alpha level of 0.05 for each t-test (this shows why adjustments like...
1. Why do we need different formulas to calculate test statistics and obtain p-values? Select all that apply. V The choice of test statistic depends on whether data is randomly sampled or not; this determines the sampling distribution. The choice of test statistic is arbitrary, choose whichever seems easiest to use at the time. The choice of test statistic is up to the statistician. We can choose any of the given test statistics to test any of the hypotheses so...
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