Question
In: Statistics and Probability
During a study, individuals were asked to rate a product on a scale of 1-5. From...
During a study, individuals were asked to rate a product on a scale of 1-5. From the following data, help the researcher determine whether any significant differences exist in opinions among individuals from two different regions. (Note: Assume a significance level of 0.05 and assume that the population standard deviation is unknown). Show your work.
|
Texas |
New York |
|
3 |
2 |
|
4 |
1 |
|
5 |
4 |
|
2 |
2 |
|
4 |
3 |
|
5 |
2 |
|
4 |
3 |
|
2 |
Solutions
Expert Solution
NULL HYPOTHESIS H0:
ALTERNATIVE HYPOTHESIS Ha: 
Significance level of 0.05
Testing for Equality of Variances
A F-test is used to test for the equality of variances. The following F-ratio is obtained:
The critical values are FL=0.176 and FU=5.119, and since F=1.365, then the null hypothesis of equal variances is not rejected.
P value= 0.01259
Since P value is smaller than 0.05 therefore SIGNIFICANT
DECISION: REJECT H0.
CONCLUSION:We have sufficient evidence to conclude that there is significant differences exist in opinions among individuals from two different regions.
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