We are testing H₀: ? ? 22;versus H_A: ?

Name: We are testing H 0 : ? ? 22;versus H A : ? 0 .
Brand: Quizplus
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Question

We are testing H₀: ? ? 22;versus H_A: ? < 22.Given ? = .01,n = 100, $\bar { X } = 21.431$ and ? = 1.295,we should not reject H₀.

Quizplus · Accepted Answer

To determine whether to reject H0, we calculate the test statistic and compare it to the critical value. The test statistic is calculated as (21.431 - 22) / (1.295/√100) = -4.39. For a one-tailed test with α = 0.01, the critical z-value is approximately -2.33. Since -4.39 < -2.33, we reject H0.

We Are Testing H0: ? ? 22;versus HA: Xˉ=21.431\bar { X } = 21.431Xˉ=21.431

We Are Testing H₀: ? ? 22;versus H_A: $\bar { X } = 21.431$