Here are two different samples drawn from two different populations:

Which sample satisfies the normal condition for performing a $t$ test?
Choose 1 answer:
(A) Sample A only

B Sample B only
(c) Both samples
(D) Neither sample

Question

Here are two different samples drawn from two different populations:

Which sample satisfies the normal condition for performing a $t$ test?
Choose 1 answer:
(A) Sample A only

B Sample B only
(c) Both samples
(D) Neither sample

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine which sample satisfies the normal condition for performing a $t$ test, we need to check if the sample data is approximately normally distributed. ‖ ‖ step 2 ⋮ For Sample A, the dot plot shows that most of the data points are clustered between 13 and 15, with only two points outside this range. This indicates a skewed distribution rather than a normal distribution. ‖ ‖ step 3 ⋮ For Sample B, the dot plot shows a more spread out distribution of data points across the range from 6 to 14. This distribution appears more symmetric and closer to a normal distribution. ‖ ‖ step 4 ⋮ Based on the visual inspection of the dot plots, Sample B satisfies the normal condition for performing a $t$ test. ‖ ***B*** ∻Key Concept∻ ⚹Normal condition for $t$ test⚹ ∻Explanation∻ ⚹The normal condition for performing a $t$ test requires that the sample data be approximately normally distributed. Sample B shows a more symmetric and spread out distribution, indicating it is closer to a normal distribution compared to Sample A.⚹◊What statistical test can be used to determine if a sample meets the normality assumption⍭ Generate me a similar question◊

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