Question

Question 1 (1 point)

The Kellogg Company periodically compares sales across departments. In one particular instance, they would like to determine if sales of snacks are different from sales of frozen foods. If snacks are group 1 and frozen foods are group 2, what are the hypotheses for this test?

Question 1 options:

	1) HO: μ1 ≠ μ2 HA: μ1 = μ2
	2) HO: μ1 = μ2 HA: μ1 ≠ μ2
	3) HO: μ1 ≥ μ2 HA: μ1 < μ2
	4) HO: μ1 > μ2 HA: μ1 ≤ μ2
	5) HO: μ1 ≤ μ2 HA: μ1 > μ2

Question 2 (1 point)

Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants different from the average stock price for fast food restaurants? If sit down restaurants are considered group 1 and fast food restaurants are group 2, what are the hypotheses of this scenario?

Question 2 options:

	1) HO: μ1 ≤ μ2 HA: μ1 > μ2
	2) HO: μ1 > μ2 HA: μ1 ≤ μ2
	3) HO: μ1 = μ2 HA: μ1 ≠ μ2
	4) HO: μ1 ≠ μ2 HA: μ1 = μ2
	5) HO: μ1 ≥ μ2 HA: μ1 < μ2

Question 3 (1 point)

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? You want to test the hypotheses that the amount absorbed by men (group 1) is different from the amount absorbed by women (group 2). A random sample of 195 male workers and 199 female workers showed an average lead absorption in the blood of 12.13 (SD = 1.281) and 11.84 (SD = 0.821), respectively (measured in micrograms/deciliter). Assuming that the population standard deviations are the same, perform a two independent samples t-test on the hypotheses Null Hypothesis: μ₁ = μ₂, Alternative Hypothesis: μ₁ ≠ μ₂. What is the test statistic and p-value of this test?

Question 3 options:

	1) Test Statistic: -2.681, P-Value: 0.0077
	2) Test Statistic: 2.681, P-Value: 0.9962
	3) Test Statistic: 2.681, P-Value: 1.9962
	4) Test Statistic: 2.681, P-Value: 0.0038
	5) Test Statistic: 2.681, P-Value: 0.0077

Question 4 (1 point)

The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test if the average age of males is greater than the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.862, what is the appropriate conclusion? Label males as group 1 and females as group 2.

Question 4 options:

	1) The average age of males is less than or equal to the average age of females.
	2) We did not find enough evidence to say the average age of males is less than the average age of females.
	3) We did not find enough evidence to say a significant difference exists between the average age of males and females.
	4) The average age of males is significantly larger than the average age of females.
	5) We did not find enough evidence to say the average age of males is larger than the average age of females.

Answer 1

Question 1:

Correct option:

(2) H0:

   HA:

Question 2:

Correct option:

(3) H0:

   HA:

Question 3:

Correct option:

(5) Test statistic = 2.681,   P - value = 0.0077

Explanation:

Test statistic is given by:

ndf = n1+n2-2 = 95 + 199 - 2 = 392

By Technology, P - Value = 0.0077

Question 4:

Correct option:

(5) We did not find enough evidence to say the average age of males is larger than the avrage age of females.

Since P - Value is greater than , the difference is not significant. Fail to reject null hypothesis.