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28 August, 06:48

A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the 0.05 significance level, is there a difference between the population means?

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  1. 28 August, 08:28
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    Answer: There is not significant difference between the population means

    Step-by-step explanation:

    Two-Sample T-Test and CI

    Sample N Mean StDev SE Mean

    1 10 23.00 4.00 1.3

    2 8 26.00 5.00 1.8

    Difference = ? (1) - ? (2)

    Estimate for difference: - 3.00

    95% CI for difference: (-7.49, 1.49)

    T-Test of difference = 0 (vs?) : T-Value = - 1.42 P-Value = 0.176 DF = 16

    Both use Pooled StDev = 4.4651

    since p-value = 0.176 > 0.05

    Therefore at 0.05 significant level we fail to reject the null hypothesis

    there is not significant difference between the population means
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