Answer
We know that student's t statistic is completely acceptable for symmetric data
we can use student's t statistic for sample size less than 6 as well as for sample size greater than 1000. but we make sure that the population parameters are unknown.
we can use student's t statistic for any sample size, we just need unknown population parameter in order to use student's t statistic.
When the data is very skewed, then it is not useful to use student's t statistic because student's t statistic is not able to find out any significant in case of very skewed data
so, option D is answer
Question 7 It is NOT acceptable to use the Student's t test statistic when the data...
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The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
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3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: 1-y2 where i and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by where s and s3 are...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups. RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: y2 where yi and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by 2 where s and s...
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The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
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