BA 578 FINAL EXAM SUMMER 2016

Online Final Exam

Part A: Fill in the blank (1-26)

1)          The purpose of hypothesis testing is to aid the manager or researcher in reaching a (an) __________________ concerning a (an) _______________ by examining the data contained in a (an) _______________ from that ____________________.

2)          A hypothesis may be defined simply as __________________________________________.

3)          There are two statistical hypotheses. They are the _________________ hypothesis and the _________________ hypothesis.

4)          The statement of what the investigator is trying to conclude is usually placed in the _________________ hypothesis.

5)          The _____________ hypothesis is the hypothesis that is tested.

6)          If the null hypothesis is not rejected, we conclude that the alternative _________________.

7)          If the null hypothesis is not rejected, we conclude that the null hypothesis _____________.

8)          A Type I error occurs when the investigator _____________________________.

9)          A Type II error occurs when the investigator _____________________________ .

10)     The probability of committing a Type I error is designated by the symbol ____________, which is also called the ___________________.

11)     Values of the test statistic that separate the acceptance region from the rejection are called _________________ values.

12)     The following is a general statement of a decision rule: If, when the null hypothesis is true, the probability of obtaining a value of the test statistic as____________ as or more _______ than that actually obtained is less than or equal to , the null hypothesis is____ _________.  Otherwise, the null hypothesis is ______________________ .

13)     The probability of obtaining a value of the test statistic as extreme as or more extreme than that actually obtained, given that the tested null hypothesis is true, is called ____________ for the ________________test.

14)     When one is testing H0: µ= µ0 on the basis of data from a sample of size n from a normally distributed population with a known variance of σ² , the test statistic is ____________________________________________________.

15)     When one is testing H0: µ= µ0 on the basis of data from a sample of size n from a normally distributed population with a unknown variance, the test statistic is ___________________________________________________.

16)     The null hypothesis contains a statement of __________________________________.

17)     The statement  µ ≥  0 is an inappropriate statement for the ____________ hypothesis.

18)     The rejection region consists of those values of the ______________ that will cause rejection of the null hypothesis.

19)     The null hypothesis and the alternative hypothesis are ____________ of each other.

20)     Given  ,  H0: µ= µ0, then Ha : ___________________________________ .

21)     Given H0: µ ≤ µ0, then Ha : ___________________________________ .

22)     Given H0: µ ≥ µ0, then Ha : ___________________________________ .

23)     A statement of what you wish to conclude goes in the ______________.

24)     A market analyst believes that more than 30% of the adults in a certain area regularly read a certain magazine.  The analyst wishes to conduct a hypothesis test to see whether this belief will be supported.  The appropriate statistical hypotheses are: __________________.

25)     Given: H0: µ ≥ 50;  Ha: µ < 50; α  = 0.05.  A simple random sample of size 64 is drawn from a non-normally distributed population.   = 45, s² = 256.  The computed value of the test statistic is _________________, which is compared for significance with a value from the ____________________ distribution.

26)     Given: H0: µ= 100;  Ha: µ ≠ 100;   α = 0.03;  computed z = 2.25,  p = 0.0244.  The null hypothesis should reject because __________________________________________.

Part B: Use questions number 27-50 from page 9-54 to 9-57 to write your answer below (27-50).

27             35             43     
28             36             44     
29             37             45     
30             38             46     
31             39             47     
32             40             48     
33             41             49     
34             42             50     

Part C: Please fill in the blank and circle your decision or answer the following questions (51-53).

51.      State whether you would reject or fail to reject the null hypothesis in each of the following cases (two-tailed): Make a decision.

a)          

P = 0.12 ;

Decision

Reject / Fail to reject

b)          

P = 0.001 ;

Decision

Reject / Fail to reject

52.      State whether  should be accepted or rejected for , given the following;  (circle your decision)

a)          

 = 2.34; df = 2 and 11

Decision

Reject / Fail to reject

b)          

 = 4.29; df = 3 and 24

Decision

Reject / Fail to reject

53.      Given the following, complete the ANOVA table and make the correct inference. Using F-value to make a decision.

Source    SS    df    MS    F
Treatments    ____    2    3.24    ____
Error    ____    17    ____     
Total    40.98    ____     

ANSWER

a) What is the hypothesis being tested in this problem?

b) In the above ANOVA table, is the factor significant at the 5% level?

c) Number of observations?

Part D: Explain below (54-55)

54.      What does the constant term capture in the equation?

55.      What does the constant term capture in the equation?

Part E: Must show all your work step by step in order to receive the full credit; Excel is not allowed (56-65).

56.      Given the following probabilities, find Z0 and please draw the shading the area

Show your work    Please draw graphs
a.    P(Z≤Z_0 )=0.0060
b.    P(-1.67≤〖Z≤Z〗_0 )=0.8844

c.    P(Z>Z_0 )=0.0455

d.    P(Z_0≤Z≤3.02)=0.0009

e.    P(Z>Z_0 )=0.7224

f.    P(Z_0≤〖Z≤Z〗_0 )=0.9876

57.      Work on problem number 28 (a-d) on page 7-26

58.      Work on problem number 13 (a-c) on page 7-48

59.      Work on problem number 15 (a-c) on page 7-67

60.      Use problem number 12 on page 8-11  to answer the following questions (a-d)

a) Mean

b) Variance

c) Standard deviation

d) Find a 90% confidence interval for the mean μ.  Interpret this interval

61.      Please fill in the computer printout and answer the following questions (a-b).

Given that α=0.05

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.9037

R Square

______

Adjusted R Square

______

Standard Error

______

Observations

______

ANOVA

df

SS

MS

F

Significance F

Regression

1

4.9

______

______

0.03535

Residual

3

1.1

______

Total

______

______

Coefficients

Standard
Error

t Stat

P-value

Lower95%

Upper 95%

Lower 95.0%

Upper 95.0%

Intercept

-0.1

______

-0.15746

0.88488

______

______

______

______

X1

0.7

______

3.65563

0.03535

______

______

______

______

a) Predicting Y given that X=5; confidence interval

b) Estimating mean given that X=5; confidence interval

62.      The following regression equation was obtained using the five independent variables.  

Given that

a)What percent of the variation is explained by the regression equation?

b)What is the standard error of regression?

cWhat is the critical value of the F-statistic?

d)What sample size is used in the print out?

e)What is the variance of the slope coefficient of income?

f)Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero.

g)Conduct a test of hypothesis on each of the independent variables. Would you consider eliminating outlets and bosses?

63.      Work on problem 3 on page 10-28 (a-d)

64.      An ad agency asks each member of a random sample of 60 viewers to indicate which of six television programs he or she prefers. Let

a) Is the χ2 value significant at 5% level of significant?

b) Write the conclusion for this question

65.      Work on problem 10 on page 15-10

a)      What is you hypothesis testin

b)     What is your ?

c) Is the χ2 value significant at the 5 % level of significance?

d) Write the conclusion for this question.