You are constructing a 90% confidence interval for the difference of means from simple random samples from two independent populations. The sample sizes are n₁ = 6 and n₂ = 14. You draw dot plots of the samples to check the normality condition for two-sample t- procedures. Which of the following descriptions of those dot plots would suggest that it is safe to use t-procedures? I. The dot plot of sample 1 is roughly symmetric, while the dot plot of sample 2 is moderately skewed left. There are no outliers. II. Both dot plots are roughly symmetric. Sample 2 has an outlier. III. Both dot plots are strongly skewed to the right. There are no outliers. (a) I only (b) II only (c) I and II (d) I, II, and III (e) t-procedures are not recommended in any of these cases.

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You are constructing a 90% confidence interval for the difference of means from simple
random samples from two independent populations. The sample sizes are n₁ = 6 and n₂ = 14.
You draw dot plots of the samples to check the normality condition for two-sample t-
procedures. Which of the following descriptions of those dot plots would suggest that it is safe
to use t-procedures?
I.
The dot plot of sample 1 is roughly symmetric, while the dot plot of sample 2 is
moderately skewed left. There are no outliers.
II. Both dot plots are roughly symmetric. Sample 2 has an outlier.
III. Both dot plots are strongly skewed to the right. There are no outliers.
(a) I only
(b) II only
(c) I and II
(d) I, II, and III
(e) t-procedures are not recommended in any of these cases.
Transcribed Image Text:You are constructing a 90% confidence interval for the difference of means from simple random samples from two independent populations. The sample sizes are n₁ = 6 and n₂ = 14. You draw dot plots of the samples to check the normality condition for two-sample t- procedures. Which of the following descriptions of those dot plots would suggest that it is safe to use t-procedures? I. The dot plot of sample 1 is roughly symmetric, while the dot plot of sample 2 is moderately skewed left. There are no outliers. II. Both dot plots are roughly symmetric. Sample 2 has an outlier. III. Both dot plots are strongly skewed to the right. There are no outliers. (a) I only (b) II only (c) I and II (d) I, II, and III (e) t-procedures are not recommended in any of these cases.
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