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sindy35111
sindy35111
14.04.2020 • 
Mathematics

A study sought to determine if the mean annual salary of Tesla owners is higher in California than in Indiana. Data was collected from Tesla owners in California (sample size of 45) and Indiana (sample size of 40). Below is the SPSS output for this study.

a) What is the statistical test used in this study? Choose an option from the list and type its corresponding letter in the box.

matched pairs t-test
comparison of means t-test
one sample z-test
one sample t-test
Answer for (a):

b) Which of the following is true at a 2% significance level? Choose an option from the list and type its corresponding letter in the box.

There is no evidence that the mean annual salary of a Tesla owner in California is higher than in Indiana because the P-value is 0.016 .
There is evidence that the mean annual salary of a Tesla owner in California is higher than in Indiana because the P-value is 0.016 .
There is no evidence that the mean annual salary of a Tesla owner in California is higher than in Indiana because the P-value 0.008 .
There is evidence that the mean annual salary of a Tesla owner in California is higher than in Indiana because the P-value 0.008 .

c) Which of the following is true based on the 95% confidence interval from the SPSS output? Choose an option from the list and type its corresponding letter in the box .

At a 5% significance level, there is evidence that the mean salary of a Tesla owner in California is higher than in Indiana.
At a 5% significance level, there is evidence that the mean salary of a Tesla owner in California is not equal to the mean salary of a Tesla owner in Indiana.
Both A and B are wrong.

d) Assuming the salary distributions are left skewed, which of the following is true? Choose an option from the list and type its corresponding letter in the box .

Results of this statistical test can be trusted only if the dataset contains no outliers.
Results of this statistical test can be trusted even if the dataset contains outliers .
Results of this statistical test cannot be trusted.

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