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Mathematics, 14.04.2020 22:44 jivsf

You are testing a claim and incorrectly use the normal sampling distribution instead of the t-sampling distribution. Does this make it more or less likely to reject the null hypothesis? Is this result the same no matter whether the test is left-tailed, right-tailed, or two-tailed? Explain your reasoning. Is the null hypothesis more or less likely to be rejected? Explain. Less likely; for degrees of freedom less than 30, the tail of the curve are thicker for a t-sampling distribution. Therefore, if you incorrectly use a standard normal sampling distribution, the area under the curve at the tails will be larger than what it would be for the t-test, meaning the critical value(s) will lie closer to the mean. Is the result the same? The result is different. With a two-tailed case, the tail thickness does not affect the location of the critical values, however, in a left- and right-tailed case, the tail thickness does affect the location of the critical value. The result is different. With a left- and right-tailed case, the tail thickness does not affect the location of the critical value, however, in a two-tailed case, the tail thickness does affect the location of the critical value. The result is the same. In each case, the tail thickness affects the location of the critical value(s). The result the same. In each case, the tail thickness does not affect the location of the critical value(s).

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