This Question: 1 pt 7 of 25 (0 complete) This Quiz: 25 pts possible You are test

Question

This Question: 1 pt 7 of 25 (0 complete) This Quiz: 25 pts possible 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 for degrees of freedom less than 30, the tail of the curve are thicker for a | distribution. Therefore, if you incorrectly use a standard normal sampling distribution, the area under the curve at the tails will be what it would be for the t-test, meaning the critical value(s) will lie the mean. Is the result the same? O 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 O 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 O The result is the same. In each case, the tail thickness affects the location of the critical value(s) value value O The result the same. In each case, the tail thickness does not affect the location of the critical value(s)

Explanation / Answer

More likely, for df < 30, the tail of the curve are thicker for t distribution. Therefore if you incorrectly ude a standard normal sampling distribution, the area under the curve at tha tails will be smaller, what if would be for the t test, meaning the critical values will lie closer the mean.

Is the result same ?

Answer: 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.

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