You are testing a claim and incorrectly use the normal sampling distribution ins

Question

You are testing a claim and incorrectly use the normal sampling distribution instead of the t-sampling distribution Does this whether the test is left-tailed, right-tailed, or two-tailed? Explain your reasoning make it more or less kaly to reject the null hypothesis? Is this resultl the same no mater s the null hypothesis more or less likely to be rejected? Explain a[ for degrees of freedom less than 30, the ta·ofthe arve are ticker distribution Therefore, if you incorrectly use a standard normal sampling distribution, the area under the what it would be for the -test, meaning the crtical value/s) will lie curve at the tais will be Is the result the same? O The result is the same In each case, the tail thickness affects the location of the critical value(s) Vthe mean O The result the same In each case, the tail thickness does not affect the location of the crtical vaes) The resut sdine ent With a twotaled case the tail hiness does not ano tthe location ofthe critcal valuos, howe or nalen, and value ? Ntaled case, the tal th knessdoes ano r the lal0ofte on a' ?The resul isdiferent. With a len and ng failed case the tainckness does not afect the location of the rea value, however, nato aled case the tal tekness d esant te lator 1 matca value

Explanation / Answer

More likely for the degrees of freedom less than 30, the tail of the curve are thicker for a (t-sampling) distribution.Therefore is you incorrectly use a standard normal distribution, the area under the curve at the tails will be ( smaller ) what it would be for the t-test. meaning the critical values will lie (closer ) the mean.

C) 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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