Mathematics: The researcher has limited resources. he sends 9 emails from a latino name, and 14 emails from a non-latino name. for the latino names, the mean response time was 421 minutes (standard deviation of 82 minutes). for the non-latino names, it was 366 minutes (standard deviation of 101 minutes). calculate the standard error for the difference in means.

Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.i hope you re helped...

The researcher has limited resources. he sends 9

banditballer2

12.01.2022

38.41 minutes

Step-by-step explanation:

The standard error for the difference in means is given by :-

$SE.=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2}}$

where , $\sigma_1$ = Standard deviation for sample 1.

n_1 = Size of sample 1.

$\sigma_2$ = Standard deviation for sample 2.

n_2 = Size of sample 2.

Let the sample of Latino name is first and non -Latino is second.

As per given , we have

$\sigma_1=82$

n_1=9

$\sigma_2=101$

n_2=14

The standard error for the difference in means will be :

$SE.=\sqrt{\dfrac{(82)^2}{9}+\dfrac{(101)^2}{14}}$

$SE.=\sqrt{\dfrac{6724}{9}+\dfrac{10201}{14}}$

$SE.=\sqrt{747.111111111+728.642857143}$

$SE.=\sqrt{1475.75396825}=38.4155433158\approx38.41$

Hence, the standard error for the difference in means =38.41 minutes

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