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07.01 MC) The average high-density lipoprotein (HDL) cholesterol level of adult

ID: 3062182 • Letter: 0

Question

07.01 MC) The average high-density lipoprotein (HDL) cholesterol level of adult females is 53 milligrams per deciliter. You want to determine whether the true mean female HDL cholesterol level is more than the average. You decide to pull a random sample of 12 adult females and measure their HDL cholesterol level. You find the sample mean is 54.1 milligrams per deciliter and the standard deviation is 1.78 milligrams per deciliter. What are the test statistic and the p-value? (2 points) The test statistic is 2.14 and the p-value is 0.0278 278 and the p-value is 2.14. The test statistic is 1.1 and the p-value is 0.0278. The test statistic is 0.0278 and the p-value is 1.1 The test statistic is 0.51 and the p-value is 2.14

Explanation / Answer

Mean HDL cholestrol level of adult females = 53 mg per dcl

Sample mean x = 54.1 mg per dcl

Sample size n= 12

standard deviation (s) = 1.78 mg per dcl

standard error of sample mean se0 = s/sqrt(n) = 1.78 / sqrt(12) = 0.5138

Test statistic

t = (x - H)/se0 = (54.1 - 53)/0.5138 = 2.141

p - value = TDIST (t < 2.141 ; dF = 12 -1 = 11 ; one - tailed ) = 0.0278

Option A is correct.