Question

Consider the following hypothesis statement using 0.05 and data from two independent samples: H0: $\mu_1 = \mu_2$ and Ha: $\mu_1 \neq \mu_2$ $\bar{x}_1 = 23$, $\sigma_1 = 7.6$ and n = 39 $\bar{x}_2 = 24$, $\sigma_2 = 5.8$ and n = 41. Assume the samples are independent and normally distributed with equal variance. Calculate the standard error of the mean. Round to 3 decimal places your final answer.

          Consider the following hypothesis statement using 0.05 and data from two independent samples:
H0: $\mu_1 = \mu_2$ and Ha: $\mu_1 \neq \mu_2$
$\bar{x}_1 = 23$, $\sigma_1 = 7.6$ and n = 39
$\bar{x}_2 = 24$, $\sigma_2 = 5.8$ and n = 41.
Assume the samples are independent and normally distributed with equal variance.
Calculate the standard error of the mean.
Round to 3 decimal places your final answer.
        
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Consider the following hypothesis statement using 0.05 and data from two independent samples:
H0: μ1 = μ2 and Ha: μ1 ≠μ2
x̅1 = 23, σ1 = 7.6 and n = 39
x̅2 = 24, σ2 = 5.8 and n = 41.
Assume the samples are independent and normally distributed with equal variance.
Calculate the standard error of the mean.
Round to 3 decimal places your final answer.

Added by Neil C.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Consider the following hypothesis statement using 0.05 and data from two independent samples HO: μ1 = μ2 and Ha: μ1 ≠ μ2. The sample means are 23.7 and 25.8, with sample sizes of 39 and 41, respectively. Assume the samples are independent and normally distributed with equal variance. Calculate the standard error of the mean. Round your final answer to 3 decimal places.
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Transcript

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00:01 So in this question we want to find our test statistic.
00:04 So to do that we write t is equal to 23 .5 which is the x1 minus 23 .1 which is x2 divided by the square root of 16 squared over 37 plus 16 .43 squared over 43...
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