Explore BrainMass
Share

Explore BrainMass

    Statistics: Testing a Null Hypothesis

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A researcher is testing a null hypothesis that states: Ho: = 50. A sample of 25 scores is selected and the mean is M = 55.

    Assuming that the sample variance is 100, compute the estimated standard error and the t statistic. Is this sample sufficient to reject the null hypothesis using a two-tailed test with alpha = .05?

    Assuming that the sample variance is 400, compute the estimated standard error and the t statistic. Is this sample sufficient to reject the null hypothesis using a two-tailed test with alpha = .05?

    Explain how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:28 am ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/statistics-testing-null-hypothesis-506030

    Solution Preview

    With alpha = 0.05 and degree of freedom=n-1=25-1=24 and also a two-sided test, the t-statistic=2.064 by t table.

    So if the sample variance is 100, then the estimated ...

    Solution Summary

    An explanation of how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.

    $2.19