**BA 578 SUMMER I 2016**

# BA 578 SUMMER I 2016

BA 578 SUMMER I 2016

- There are 4 parts:

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

Part B: Write your answers (27-50)

Part C: Fill in the blank and circle your answers (51-53)

Part D: Explaination (54-55)

Part E: Work Problem (56-65) **This part all work must be shown step by step**

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Name: __________________________

ID:

______________________

Online Exam

There are 4 parts:

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

Part B: Write your answers (27-50)

Part C: Fill in the blank and circle your answers (51-53)

Part D: Explaination (54-55)

Part E: Work Problem (56-65) **This part all work must be shown step by step**

**Excel is not acceptable for this test

**Part E: All work must be shown step by step in order to

receive full credit

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

BA 578 SUMMER I 2016

14)

15)

16)

17)

18)

19)

20)

21)

22)

23)

24)

25)

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actually obtained, given that the tested null hypothesis is true, is called ____________ for the

________________test.

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 σ 2 , the test statistic is

____________________________________________________.

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

___________________________________________________.

The null hypothesis contains a statement of __________________________________.

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

The rejection region consists of those values of the ______________ that will cause rejection of the

null hypothesis.

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

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

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

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

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

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: __________________.

Given: H0: µ ≥ 50; Ha: µ < 50; α = 0.05. A simple random sample of size 64 is drawn from a nonnormally distributed population.

X´ = 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

BA 578 SUMMER I 2016

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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 ;

α =0.05

Decision

Reject / Fail to reject

P = 0.001 ;

α =0.01

Decision

Reject / Fail to reject

b)

52. State whether

H0

should be accepted or rejected for

α =0.05 , given the following;

F¿ =computed F (circle your decision)

a)

F¿ = 2.34; df = 2 and 11

Decision

Reject / Fail to reject

F¿ = 4.29; df = 3 and 24

Decision

Reject / Fail to reject

b)

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

make a decision.

Source

Treatments

Error

Total

SS

____

____

40.98

df

2

17

____

MS

3.24

____

F

____

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?

BA 578 SUMMER I 2016

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55. What does the error 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 Z 0 and please draw the shading the area

a.

P

Show your work

Z

≤

Z

(

0 ) =0.0060

b.

−1.67 ≤ Z ≤ Z 0 ) =0.8844

P (

c.

Z> Z 0 )=0.0455

P (

d.

Z ≤ Z ≤3.02 ) =0.0009

P ( 0

e.

Z> Z 0 )=0.7224

P (

f.

Z ≤ Z ≤ Z 0 )=0.9876

P ( 0

Please draw graphs

BA 578 SUMMER I 2016

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

a)

b)

c)

d)

a)

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

b)

c)

BA 578 SUMMER I 2016

a)

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

b)

c)

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

BA 578 SUMMER I 2016

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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

α =0.05

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

α =0.05

BA 578 SUMMER I 2016

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

Given that

α =0.05

a)

What percent of the variation is explained by the

regression equation?

b)

What is the standard error of regression?

c)

What 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

BA 578 SUMMER I 2016

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and bosses?

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

a)

b)

c)

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

α=0.05

Program

1

2

3

4

5

6

Total

Number

5

8

10

12

12

13

60

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

b) Write the conclusion for this question

BA 578 SUMMER I 2016

65. Work on problem 10 on page 15-10

a) What is you hypothesis testing

b) What is your

χ2 ?

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

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BA 578 SUMMER I 2016

d) Write the conclusion for this question.

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**Category:**Mathematics, General Mathematics

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