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I just need help on the last problem at the very bottom! margin of error of the

ID: 3370857 • Letter: I

Question

I just need help on the last problem at the very bottom! margin of error of the 80%... etc.

The rescarchers suggest that there are occupational differences in mcan testosterone level. Medical doctors and university professors are two of the occupational groups for which means and standard deviations are recorded and listed in the following table Group Samplc size StDev [D(x), = 11.07 s1 = 2.11 Prof n214 Dx)12-10.11 s23.45 Let us denote: H1: population mean testosterone amang medical doctors * ?2: population mean testosterone among university professors, " ?1: population standard deviation of testosterone omong medical doctors, * ?2: population standard deviation or testosterone among university professors. Case 1: Assume that the population standard deviations are unequal, i.e. ?? # ?2. what is the standard error of the difference in 5ample mean [D(x11-[D(x))2?!.e. s.c.([D(x)]1-??2)-[answer to 4 decima, piaces] 1.2 191 answer now shown above. You are correct. Previous Tries r receipt no. is 159-4845 Which of the following options gives the formula for 80% confidence interval for ?1-?2? Incorrect 0.96±1.73 xs.e.([O(x))1-[D(x)]2) Incorrect 0.96 ±2. 1 xs.c.(IO(x))1- 2) Correct: 0.96 11.33 xs.e.([x)1-I(x)12) Incorrect 0.96-2.55 Ks.e.([O(x)-1-[D(x)]2) Incorrect 0.96 ±2.88 xs.e.([O(x)-1-[D(?2) answer now shown above. You are r receipt no. is 159-3665 Are there significant difference between mean testosterone leve's of medical doctors and university professors? Incorrect yes, because cntire 80% confidence interval for ? Correct: no, because the 80% confidence interval for ?1-?2 contains 0 Incorrect no, because [D(?1-[ )]2 Incorrect yes, because [D(x)]1 [D(x), ?-u2 does not contain 0 answer now shown above. You are r receipt no. is 159-7841 Case 2: Now assume that the population standard deviations are equal, i.e. ?1-?2. Compute the pooled standard deviation, pooled [answer to 4 decimaí places] 3.0903 answer now shown above. You are r receipt no. is 159-5286 which of the following options gives the formula for 80% oonfidence interval for ?1-u2 for pooled situation? Incorrect 0.96 +1.73 x1.4305 Incorrect 0.96 2.54 x1.4305 Incorrect 0.S6 2.09 x1.4305 Correct: 0.96 +1.33 x1.4305 incorrect 0.96 2.86 x1.4305 answer now shown above. You are correct. Previous T r receipt no. Is 159-1829 what is the margin of error of the 80% pooled confidence interval of ??-?2? [answer to 4 decima, places] &S785;

Explanation / Answer

Here margin of error is the radius of the confidence interval around the test statistic=1.33x1.4305=1.9026