01. in a Hypothesis Testing Procedure, Α Is
01. In a hypothesis testing procedure, α is
A. the level of significance
B. the level of confidence
C. the critical value
D. the probability of Type I error
E. both A and D
02. In a two-tail hypothesis test, the test statistic is determined to be z = -2.50. The p-value for this test is
A. 0.0062
B. 0.4938
C. 0.0031
D. -0.0124
E. 0.0124
Use the following to answer the next four questions.
The weights of small fish sold at a market are normally distributed. A random sample of 15 fish yields a mean weight of 3.8 ounces with a sample standard deviation s = 0.5 ounces. At the .05 level of significance, perform a hypothesis test to see if the true mean weight is less than 4 ounces. Use α = 0.05.
03. The correct null and alternative hypotheses are
A. H0: µ ≤ 4; HA: µ > 4
B. H0: µ ≥ 4; HA: µ < 4
C. H0: µ > 4; HA: µ = 4
D. H0: µ < 4; HA: µ = 4
E. H0: µ = 4; HA: µ ≠ 4
04. The correct calculated value of the test statistic is
A. -0.40.
B. 0.40.
C. -1.55.
D. 1.55.
E. 2.79.
05. The correct critical t-value is
A. 1.761
B. -1.761
C. -1.753
D. 2.145
E. -2.145
06. The correct conclusion at the α = 0.05 level of significance is
A. Fail to reject the null hypothesis.
B. Reject the null hypothesis.
C. Evidence suggests that the mean weight is less than 4 ounces.
D. Both A and C.
E. Both B and C.
Use the following to answer the next five questions.
An organization conducts a poll to determine the support the health care bill that just passed. In a random sample of 1000 adults surveyed, 498 responded “yes.” We would like to test if the proportion of respondents that support the health care bill is at least 50%.
07. Which of the following statements is true about this hypothesis test?
A. It is a two tail test about a proportion
B. It is a one tail test about a mean
C. It is a one tail test about a proportion
D. It is a two tail test about a mean
E. None of the above
08. The correct alternative hypothesis is
A. p = 0.50
B. p ≤ 0.50
C. p ≥ 0.50
D. p > 0.50
E. p < 0.50
09. The calculated test statistic value is
A.
B.
C.
D.
E. None of the above
10. The associate P-Value with the test statistic is
A. 0.0968.
B. 0.4483.
C. 0.9032.
D. 0.5517.
E. None of the above
11. At the α= 0.01 level of significance, the correct conclusion is
A. Fail to reject the null hypothesis.
B. Reject the null hypothesis.
C. Evidence suggests that less than 50% of respondents support the bill.
D. Both A and C.
E. Both B and C.
Consider the following to answer the next five questions:
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. They took a random sample of toothbrushes from each company. Each toothbrush was charged overnight and the number of hours of use before needing to be recharged was recorded. The data are shown in the table.
Do these samples indicate that there is a difference in the mean operating times between cordless toothbrushes manufactured by the two companies?
Company 1 / Company 2Sample size / /
Sample mean / /
Sample standard deviation / /
12. Which of the following statements is true?
A. This is a one tailed test of two dependent samples.
B. This is a two tailed test of two independent samples.
C. This is a one tailed test of two independent samples.
D. These samples are matched.
E. None of the above.
13. The correct Null and Alternative hypotheses are
A. H0: µ1 - µ2 ≤ 0 and HA: µ1 - µ2 > 0
B. H0: µ1 - µ2 ≥ 0 and HA: µ1 - µ2 < 0
C. H0: µ1 - µ2 = 0 and HA: µ1 - µ2 < 0
D. H0: µ1 - µ2 = 0 and HA: µ1 - µ2 ≠ 0
E. None of the above
14. The correct value of the test statistic is
A. t = -1.489
B. t = -4.421
C. t = 2.566
D. t = -0.488
E. None of the above
15. At α = .05
A. we reject the null hypothesis.
B. we fail to reject the null hypothesis.
C. we can conclude that there is no significant difference between the mean operating times of cordless toothbrushes manufactured by the two companies.
D. Both A and C.
E. Both B and C.
16. If we were to construct a 95% confidence interval for the difference between the mean operating times of cordless toothbrushes manufactured by Company 1and Company 2, we would expect
A. the upper and lower limits to both be negative.
B. the upper and lower limits to both be positive.
C. that zero is not included in the interval.
D. that zero is included in the interval.
E. None of the above
Consider the following to answer the next four questions:
An online book store wants to determine if there is an association between coupon redemption and gender. After a special coupon broadcast to its reward members, the following data on coupon redemption at check out were collected.
Coupon Redeemed?Yes / No / Total
Sex / Male / 66 / 66 / 132
Female / 125 / 74 / 199
Total / 191 / 140 / 331
17. What Chi-Square test is appropriate for this situation?
A. Goodness of Fit
B. Homogeneity
C. Independence
D. Proportional
E. None of the above
18. The correct value for the Chi-square test statistic is
A. χ² = 5.339
B. χ² = 8.429
C. χ² = 3.841
D. χ² = 45.556
E. None of the above
19. The degrees of freedom associated with the test statistic are
A. 1
B. 2
C. 3
D. 4
E. None of the above
20. At
A. We reject the null hypothesis
B. We fail to reject the null hypothesis
C. We can conclude that there is an association between coupon redemption and gender
D. Both A and C
E. Both B and C
21. The analysis of variance ANOVA uses the following test:
A. z-test
B. t-test
C. F-test
D. χ² - test
E. None of the above
22. The Null Hypothesis in the ANOVA is that all of the means are
A. Equal
B. Unequal
C. Zero
D. Proportional
E. None of the above
Consider the following to answer the next three questions:
To determine whether the cash bonus paid by a company is related to annual pay, data were gathered for 10 account executives at Beta Financial Group who received cash bonuses in 2007. The data are shown in the table below.
Annual Pay = x / Cash Bonus = y$70,609 / $11,225
$58,487 / $6,238
$104,561 / $14,194
$43,922 / $4,188
$82,613 / $11,863
$116,250 / $13,671
$76,751 / $7,758
$68,513 / $20,760
$137,000 / $55,000
$94,469 / $34,368
23. The slope of the estimated regression line that relates the response (dependent) variable (cash bonus) to the predictor (independent) variable (annual pay) is
A. 0.4087
B. -16945
C. -0.4087
D. 3.45
E. none of the above
24. The intercept of the estimated regression line that relates the response (dependent) variable (cash bonus) to the predictor (independent) variable (annual pay) is
A. 0.4087
B. -16,945
C. -0.4087
D. 3.45
E. none of the above
25. The residual for the estimated cash bonus of an executive earning $82, 613 a year would be
A. $15819
B. $4956
C. -$15819
D. -$4956
E. None of the above