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2.9. Two Sample T-Test Unequal Variance
Data File:
https://www.theopeneducator.com/doe/hypothesis-Testing-Inferential-Statistics-Analysis-of-Variance-ANOVA/0-all-data-module-2-hypothesis-testing
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You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. p-value for the test was calculated as
10 points
0.000218
0.000782
0.000222
<0.00001
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. Which of the following statements represents the contextual conclusion?
10 points
Statistically, the US and Swedish male populations are significantly different with respect to the mean weight because the p-value is smaller than the level of significance (0.05).
Statistically, the US and Swedish male populations are significantly different with respect to the mean weight.
Statistically, the US and Swedish male populations are significantly same with respected to the mean weight
Statistically, the mean weight of US male population is significantly more than the mean weight of Swedish male population.
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. Which statistical method is the most appropriate for this research question with the experimental scenario provided?
10 points
Two sample t-test with equal variance
Two sample t-test with unequal variance
Two sample z-test
Two sample paired t-test
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. Which of the following statements represents the statistical explanation for the results?
10 points
The null hypothesis is rejected because the p-value is less than the level of significance (0.05)
The null hypothesis is not rejected because the p-value is less than the level of significance (0.05)
The null hypothesis is true because the p-value is less than the level of significance (0.05)
The null hypothesis is not true because the p-value is less than the level of significance (0.05)
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. Which statement represents the correct alternative hypothesis for this problem?
10 points
Mean weight of US male population is equal to the mean weight of Swedish male population
Not enough information to write the null hypothesis correctly
Mean weight of US male population is not equal to mean weight of Swedish male population
Mean weight of US male population is higher than the mean weight of Swedish male population
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. After the analysis, you have observed significant results. Therefore, you have developed a refined/updated more specific alternative hypothesis based on the first analysis for the research question. What would be the contextual conclusion for the updated hypothesis?
10 points
Statistically, the US and Swedish male populations are significantly same with respected to the mean weight
Statistically, the US and Swedish male populations are significantly different with respect to the mean weight because the p-value is smaller than the level of significance (0.05).
Statistically, the US and Swedish male populations are significantly different with respect to the mean weight.
Statistically, the mean weight of US male population is significantly more than the mean weight of Swedish male population.
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [the data can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. After the analysis, you have observed significant results. What would be the next appropriate alternative hypothesis?
10 points
Mean weight of US male population is higher than the mean weight of Swedish male population
Not enough information to write the null hypothesis correctly
Mean weight of US male population is equal to the mean weight of Swedish male population
Mean weight of US male population is not equal to the mean weight of Swedish male population
Clear selection
You are interested to see if there is any difference between the US and Swedish populations with respect to the weight. You collected two representative random samples from both populations. [Data File Name: DOEM2.5 can be downloaded from the
www.theopenducator.com
]. The data is assumed to be normally distributed. Both populations are also assumed to be dissimilar or nonidentical with respect to their variances. Which statement represents the correct null hypothesis for this problem?
10 points
Mean weight of US male population is not equal to the mean weight of Swedish male population
Mean weight of US male population is equal to the mean weight of Swedish male population
Not enough information to write the null hypothesis correctly
Mean weight of US male population is higher than the mean weight of Swedish male population
Clear selection
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