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nexus9112 [7]
2 years ago
15

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.
Mathematics
1 answer:
deff fn [24]2 years ago
3 0

Answer: 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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