Two samples, each with n = 16 scores, produce an estimated standard error of 4 points and a t statistic of t = 2.00. What is the sample mean

Question

Two samples, each with n = 16 scores, produce an estimated standard error of 4 points and a t statistic of t = 2.00. What is the sample mean difference?

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Claire 4 days 2021-10-13T06:00:38+00:00 1 Answer 0

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    2021-10-13T06:01:59+00:00

    Answer:   8

    Step-by-step explanation:

    The formula to find the t-test statistic for differences between in two population mean:-

    t=\dfrac{x_{1}-x_2}{SE}

    ,where x_{1}-x_2 = sample mean difference

    SE= Sample error

    Given : SE= 4 points

    t-statistic = 2.00

    Substitute theses values in the above formula , we get

    2=\dfrac{x_{1}-x_2}{4}\\\\\Rightarrow\ x_{1}-x_2= 4\times2=8

    Hence, the sample mean difference is x_{1}-x_2= 8

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