1. Suppose a sample of 27 employees, with sample average salary = $80,000 and sample median of $80,000. An additional employee is sampled with salary of $85,000. From this you know that:
a. The mean and median must both be above $80,000 (neither could equal $80,000)
b. The mean must be above $80,000 (could not equal $80,000) and the median must be greater than or equal to $80,000.
c. The median must be above $80,000 (could not equal $80,000) and the mean must be greater than or equal to $80,000.
d. The mean and median must both be greater than or equal to $80,000 (either could equal $80,000)
e. Unable to determine with the given information
2. A local paper believes that over 40% of all residents read its newspapers. In a random sample of 200 residents, 55% state that they read the paper. What are the null and alternate hypotheses being tested?
a. H0: ρ ≤ .4 HA: ρ > .4
b. H0: ρ ≤ .55 HA: ρ > .55
c. H0: ρ > .4 HA: ρ ≤ .4
d. H0: ρ > .55 HA: ρ ≤ .55
e. None of the Above
3. Testing the null hypothesis H0: μ ≤ 50 versus the alternative hypothesis HA: μ > 50 we obtain a t-multiple 2.14 and computed t value of 2.05. What are the decision you would draw and the reason for that decision?
a. Reject the null because the computed t value is below the t-multiple
b. Fail to reject the null because the computed t value is below the t-multiple
c. Reject the null because the computed t value does not equal the t-multiple
d. Fail to reject the null because the computed t value does not equal the t-multiple
e. none of the above
4. Suppose you have a 99% confidence interval to test the hypotheses H0: μ1 - μ2 ≥ 0 versus HA: μ1 - μ2 < 0. If you reject the null hypothesis, what do you know about the p-value obtained in the test?
a. p-value <.01
b. p-value>.01
c. p-value<.005
d. p-value>.005
e. p-value<.02
5. A company that manufactures gasoline station pumps must ensure that the average gallon pumped from one of its machines contains 16 fluid ounces. In addition, 68% of the pumped gallons must be within 0.25 fluid ounces of this average. Assuming that the population of amounts is normal, what is the maximum allowable value of the standard deviation of a population of amounts if this specification is satisfied (round to the nearest 0.01 fluid ounce)?
a. 0.17 fluid Oz
b. 0.25 fluid Oz
c. 2.72 fluid Oz
d. 4.00 fluid Oz
e. None of the Above