A Sample Has a Mean of M = 39

A sample has a mean of M = 39.5 and a standard deviation of s = 4.3,and produces a t statistic of t = 2.14.For a two-tailed hypothesis test with α = .05,what is the correct statistical decision for this sample?

A) The researcher can reject the null hypothesis with α = .05 but not with α = .01.
B) The researcher can reject the null hypothesis with either α = .05 or α = .01.
C) The researcher must fail to reject the null hypothesis with either α = .05 or α = .01.
D) It is impossible to make a decision about H0 without more information.

Correct Answer:

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