Question

An auditor for a hardware store chain wished to compare the efficiency of two different auditing techniques. To do this he selected a sample of nine store accounts and applied auditing techniques A and B to each of the nine accounts selected. The number of errors found in each of techniques A and B is listed in the table below:

Errors in A	Errors in B
45	31
48	37
46	39
48	37
52	54
50	45
49	49
40	41
45	50

Does the data provide sufficient evidence to conclude that the number of errors in auditing technique A is fewer than the number of errors in auditing technique B at the 0.1 level of significance? Select the [Alternative Hypothesis, Value of the Test Statistic]. (Hint: the samples are dependent)

a) [A < B, 1.976]

b) [μ_D = 0, 1.976]

c) [μ_D < 0, 1.976]

d) [μ_D < μ₁, 1.976]

e) [μ_D ≤ 0, 1.976]

f) None of the above

Part 2

Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results:

Stick= [25.5, 26.7, 25.6, 26.3, 26.7, 26j

We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? (assume the population data is normally distributed)

a) z = 37.765

b) z = 37.265

c) t = 37.265

d) t = 37.765

e) t = 24.951

Answer 1

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