Question: A researcher is testing a null hypothesis that states: H0: μ = 50. A sample of n = 25 scores is selected and the mean is M = 55.

1. Assuming that the sample variance is _s 2 = 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 α = .05?
2. Assuming that the sample variance is s ² = 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 α = .05?
3. Describe how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.

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