When analyzing the SAS results, we can conclude: I. The variances between sample

Question

When analyzing the SAS results, we can conclude:

I. The variances between samples are unequal, at 5% level of significance.
II. There are a statistically significant difference in salaries between males and females at 5% level.
III. The true average salaries for females will lie, 95% of the times between $ 458.2 and $ 657.3
IV. We can conclude that males earn more than females (p-value < 0.0001).

Choose the alternative that best answers the question:

II, III and IV are TRUE

Only I and II are FALSE

Only I and III are FALSE

Only I and IV are TRUE

When analyzing the SAS results, we can conclude:

I. The variances between samples are unequal, at 5% level of significance.
II. There are a statistically significant difference in salaries between males and females at 5% level.
III. The true average salaries for females will lie, 95% of the times between $ 458.2 and $ 657.3
IV. We can conclude that males earn more than females (p-value < 0.0001).

Choose the alternative that best answers the question:

II, III and IV are TRUE

Only I and II are FALSE

Only I and III are FALSE

Only I and IV are TRUE

II, III and IV are TRUE

Only I and II are FALSE

Only I and III are FALSE

Only I and IV are TRUE

Batman's cookie business was sued because Batgirl and her female co-workers believed they were sex-discriminated (lower wages) in the company. The SAS output below gives the results when testing the hypothesis of wage discrimination. The SAS output below gives the results when testing the hypothesis of wage discrimination. MALES N Mean Std Dev Std Err Minimum Maximum females 61 5138.9 539.9 69.1234 3900.0 6300.0 males 32 5956.9 690.7 122.1 4620.0 8100.0 Diff (1-2) -818.0 595.6 130.0 MALES Method Mean 95% CL Mean Std Dev 95% CL Std Dev 5138.9 5000.6 5277.1 539.9 458.2 657.3 females 5956.9 5707.8 6205.9 690.7 553.8 918.3 males Remaining Time 1 hour, 50 minutes, 08 seconds. -818.0 -1076.2 -559.8 595.6 520.2 696.7 Diff (1-2) Pooled Question Completion Status: Diff (1-2) Satterthwaite -818.0 -1099.7 -536.4 Method Variances DF t value Pr> It 91 -6.29

Explanation / Answer

While analyzing the SAS output, the first statement reads that variances are unequal, whereas, the test results shows that p value for Equality of variance test is 0.1022 which is not less than 0.05, therefore, it cannot be concluded that variances are unequal. Therefore, statement I is false.

Now, go to Statement III where, it reads that 95% c.i for true mean salary of females is within $458.2 and $657.3, but reading the 2nd output table from top, the 95% c.i for true population mean salary for female is [5000.6, 5277.1]. Therefore, statement III is false.

Now, reading all alternatives, 3 is correct [Only I and III are FALSE]

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