Question

ans (large samples)
large samples) $overline{x}_1 = $248$ $overline{x}_2 = $252$
$ s_1 = $15 $ $ s_2 = $22 $
$ n_1 = 50 $ $ n_2 = 35 $
step four

multiple - choice question
what type of test is it?
two - tailed
right - tailed
left - tailed
rewatch

Explanation:

In hypothesis testing for means of large samples, if the alternative hypothesis is \(H_1:\mu_1
eq\mu_2\), it's a two - tailed test. If \(H_1:\mu_1>\mu_2\), it's a right - tailed test. If \(H_1:\mu_1<\mu_2\), it's a left - tailed test. Here, since the problem is about comparing two means (implied by the context of large samples and the given data for two groups), and no direction (greater than or less than) is specified in the question prompt (but looking at the values \(\bar{x}_1 = 248\) and \(\bar{x}_2=252\), if we assume a non - directional alternative hypothesis \(H_1:\mu_1
eq\mu_2\)).

Answer:

two - tailed