Suppose researcher A forms a two-sided 95% confidence interval by adding and sub

Question

Suppose researcher A forms a two-sided 95% confidence interval by adding and subtracting t 8/squareroot n to and from x vector. The lower bound of the interval (L) is 2. and the upper bound of the interval (U) is 4. Researcher B performs a one mean two-tailed t test alpha = .05 testing H_0: mu = 2.5 using the same data. Which of the following represents the result obtained by researcher B? The null hypothesis was not rejected. The null hypothesis was rejected. Both the null and alternative hypothesis were rejected. Not enough information was provided in the question to know if the null hypothesis was rejected.

Explanation / Answer

Since 5.5 lies outside the boundries of 95% confidence interval (2, 4), we reject the null hypothesis.

Option C is correct.

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