Question

6. Calculate the value of the test statistic t in each of the following situations. In each case the null hypothesis is the same: a. $\bar{x1}$=35,$s_1$=10,$n_1$=100,$\bar{x2}$=33,$s_2$=9,$n_2$=81. The difference between the sample means is 52, the standard error of the difference between the sample means is 24. $\bar{x1}$ - mean of $x_1$ $\bar{x2}$ - mean of $x_2$

          6. Calculate the value of the test statistic t in each of the following situations. In each case the null hypothesis is the same:
a. $\bar{x1}$=35,$s_1$=10,$n_1$=100,$\bar{x2}$=33,$s_2$=9,$n_2$=81. The difference between the sample means is 52, the standard error of the difference between the sample means is 24.
$\bar{x1}$ - mean of $x_1$  $\bar{x2}$ - mean of $x_2$

6. Calculate the value of the test statistic t in each of the following situations. In each case the null hypothesis is the same:
a. x̅1̅=35,s1=10,n1=100,x̅2̅=33,s2=9,n2=81. The difference between the sample means is 52, the standard error of the difference between the sample means is 24.
x̅1̅ - mean of x1 x̅2̅ - mean of x2

Added by Justin H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ajiboye Tunde

10/27/2021

Step 1

Step 1: The formula for the test statistic t is: $$t = \frac{\bar{x_1} - \bar{x_2}}{s_p \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$$ where: * $\bar{x_1}$ is the sample mean of the first group * $\bar{x_2}$ is the sample mean of the second group * $s_p$ is the pooled Show more…

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6. Calculate the value of the test statistic t in each of the following situations. In each case the null hypothesis is the same: a. x1 =35,s1=10,n1=100,x2 =33,s2=9,n2=81. The difference between the sample means is 52, the standard error of the difference between the sample means is 24. x1 - mean of X1 x2 - mean of X2