A sample of 46 observations is selected from one population with a population standard deviation of 4.1. The sample mean is 102.0. A s

Question

A sample of 46 observations is selected from one population with a population standard deviation
of 4.1. The sample mean is 102.0. A sample of 48 observations is selected from a second
population with a population standard deviation of 5.8. The sample mean is 100.1. Using the 0.05
significance level, is there a difference between the two samples?

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Thanh Hà 3 years 2021-09-03T01:24:37+00:00 1 Answers 0 views 0

Answers ( )

  1. thugiang
    0
    2021-09-03T01:25:51+00:00
    Reply

    Answer:

    there is no significant evidence to conclude that there is difference between the two samples.

    Step-by-step explanation:

    Given :

    x1 = 102 ; σ1 = 4.1 ; n1 = 46

    x2 = 100.1 ; σ2 = 5.8 ; n2 = 48

    H0 : μ1 = μ2

    H0 : μ1 ≠ μ2

    The test statistic :

    The test statistic :

    (x1 – x2) / sqrt[(σ1²/n1 + σ2²/n2)]

    (102 – 100) / sqrt[(4.1²/46 + 5.8²/48)]

    2 / 1.0326025

    Test statistic = 1.937

    The Pvalue from test statistic score ;

    Pvalue = 0.052745

    Pvalue > α ; Fail to reject the null ; Hence, there is no significant evidence to conclude that there is difference between the two samples.

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