Question

The mean cholesterol of Americans is 180 with standard deviation 30. In a local town, 32 cholesterol samples are taken as follows. A company is interested to know if the mean cholesterol in this town is statistically different than the rest of America.

Mean	171.84375
Std Dev	18.477727
Std Err Mean	3.2664316
Upper 95% Mean	178.50568
Lower 95% Mean	165.18182
N	32

Hypothesized Value	180
Actual Estimate	171.844
DF	31
Std Dev	18.4777
Sigma given	30

	z Test
Test Statistic	-1.5380
Prob > |z|	0.1241
Prob > z	0.9380
Prob < z	0.0620

Question: The state decides to use a two-tailed test using α = 0.05. Find the correct test statistic and p-value.

test statistic =

p-value =

Answer 1

test statistic = -1.5380

p-value = 0.1241