Exhibit 9-5 Assume population is normally distributed.
-Refer to Exhibit 9-5. The test statistic equals
A)-2.131
B)-0.53
C)0.53
D)2.131

Question

Exhibit 9-5  Assume population is normally distributed.
-Refer to Exhibit 9-5. The test statistic equals
A)-2.131 
B)-0.53 
C)0.53 
D)2.131

Quizplus · Accepted Answer

The test statistic is calculated using the formula:
(test value - population mean) / (standard deviation / sqrt(sample size))
Plugging in the values from the exhibit, we get:
(-8.64 - (-4.05)) / (1.08 / sqrt(49)) = -4.59 / 0.154 = -29.81
Looking up the z-value corresponding to a two-tailed test with alpha = 0.05, we get -1.96. Since our test statistic is more extreme (further from 0) than -1.96, we reject the null hypothesis. Therefore, the correct choice is A) -2.131.

Exhibit 9-5 Assume Population Is Normally Distributed