We wish to test the claim that u=22 at a level of significance of a=0.05. We are

Question

We wish to test the claim that u=22 at a level of significance of a=0.05. We are given sample statistics n= 35 and x-bar = 21.1. Moreover, we are told that the population SD is o = 2.7.
Compute the test statistic, rounded two decimal places.

a. -2.86
b. -3.12
c. -1.97
d. -1.83

We wish to test the claim that u 22 at a level of significance of 005 We are given sample statistics n 35 and X-bar 21.1. Moreover, we are told that the population SD is o 2.7. Compute the test statistic, rounded to two decimal places. O -2.86 O 3.12 1.97 1.83

Explanation / Answer

Since population standard deviation is known, z test is applicable here

z = (xbar - u)/(SD/sqrt(n))
= (21.1 - 22)/(2.7/sqrt(35)) = -1.97 (option c)

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