STA641 GDB No 2 Solution Spring 2020-VU-Digilearnerspoint

STA641 GDB No 2 Solution 2020-Spring Semester-VU-Statistical Packages and its Applications

STA641 GDB No 2 Solution Spring 2020 of VU has been presented by Digilearnerspoint in this video tutorial that gives a lot of assistance solving GDB

Starting Date: 28-08-2020

Closing Date: 02-09-2020

Question Discussion/Scenario

Question Instructions

1. Enter or Copy/Paste the given question data into SPSS.
2. Then, apply the appropriate functions/calculations to get the required results
3. In the end, Copy/Paste your relevant answers/results/graph into GDB answer/reply Section

Which tool you should use?

You need to use SPSS Application to solve this question.

Question Data

Perform the Analysis of Variance (ANOVA) for the given data and test the :

Null Hypothesis:                                 Ho=All factors are the same

Alternative Hypothesis:                      H1=All factors are not the same

After Analysis

1. Report/show your results. Highlights key values/findings
2. Show/Highlight Mean and Standard Deviation for each of the factor
3. What is the computed F-test Value?
4. From your results, can we accept or reject the null hypothesis?

DATA TABLE 

According to the F significance/probability with df = (2,21) F must be at least 3.4668 to reach p<0.05, so F score is statistically significant.

Solution

Given Information

alpha=p=0.05

F-test score= F(2,21) = 3.4668

One way

Descriptives
Responses
	N	Mean	Std. Deviation	Std. Error	95% Confidence Interval for Mean		Minimum	Maximum
					Lower Bound	Upper Bound
A	5	51.80	26.224	11.728	19.24	84.36	19	83
B	5	55.40	30.080	13.452	18.05	92.75	22	100
C	5	56.80	36.148	16.166	11.92	101.68	26	103
Total	15	54.67	28.863	7.452	38.68	70.65	19	103

Test of Homogeneity of Variances
Responses
Levene Statistic	df1	df2	Sig.
.820	2	12	.463

ANOVA
Responses
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	66.533	2	33.267	.034	.966
Within Groups	11596.800	12	966.400
Total	11663.333	14

Conclusion

As Fc < FG that is 0.034 < 3.4668, therefore we reject the null hypothesis and inferred that the F score is statistically insignificant at the level of significance 0.05

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Descriptives

Responses

N

Mean

Std. Deviation

Std. Error

95% Confidence Interval for Mean

Minimum

Maximum

Lower Bound

Upper Bound

A

5

51.80

26.224

11.728

19.24

84.36

19

83

B

5

55.40

30.080

13.452

18.05

92.75

22

100

C

5

56.80

36.148

16.166

11.92

101.68

26

103

Total

15

54.67

28.863

7.452

38.68

70.65

19

103

Test of Homogeneity of Variances

Responses

Levene Statistic

df1

df2

Sig.

.820

2

12

.463

ANOVA

Responses

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

66.533

2

33.267

.034

.966

Within Groups

11596.800

12

966.400

Total

11663.333

14