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Consider the following sample statistics:
x ¯ A = 1063
x ¯ B = 1060
s p = 70
where sp is the pooled standard deviation. The formula for the t-statistic for a two-sample test for means is
t = x ¯ A - x ¯ B S E x ¯ A - x ¯ B
where S E x ¯ A - x ¯ B = s p 1 n A + 1 n B
is the standard error of the difference between sample means. The sample sizes for Groups A and B are 160 and 250, respectively.
What is your conclusion regarding the proposed hypothesis at a significance level of alpha = 0.10? (Hint: Use t0 = 1.28 as your critical value).
Group of answer choices
Cannot conclude due to inapplicability of Central Limit Theorem
Cannot conclude due to lack of information
Reject the null hypothesis
Fail to reject the null hypothesis
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