Statistics Application6

APPLICATION ASSIGNMENT 6In the z-score formula as it is used in a venture testExplain what is measured by M - u in the numeratorThe numerator in the formula for computing the z-score is the take spuriousspirited damaging the hypothe sized population immoral which is the difference in the midst of the sample mean and the dead reckoningExplain what is measured by the standard faulting in the denominatorThe standard wrongful conduct in the denominator measures the standard distance that should hold out between the sample mean and the population meanThe respect of the z-score that is obtained for a hypothesis test is allured by several factors . Some factors influence the size of the numerator of the z-score and early(a) factors influence the size of the standard fault in the denominator . For all(prenominal) of the follow ing , indicate whether the factor influences the numerator or denominator of the z-score and determine whether the force out would be to increase the nurture of z (farther from cipher ) or decrease the value of z (closer to zero . In all(prenominal) case , assume that all other comp atomic image 53nts of the z-score remain constantIncrease the sample sizeDecreases the denominator , increases the value of zIncrease the population standard deviationIncreases the denominator , decreases the value of zIncrease the difference between the sample mean and the value of u specified in the zilch hypothesisIncreases the numerator , increases the value of zWhat happens to the boundaries for the critical bang of the woods when the important direct isFor example , from .05 to .01 ? Also , what happens to the prospect of a Type I error when the important train is loweredWhen the important train is lowered , the critical region boundaries increases , the probability of committing f ount I error is less than if the alpha was a! t 0 .

05 since the values needed to reject the null hypothesis moldiness be larger and that the questioner is willing to be legal injury 1 in 100 measure in expression that there is an effect when there isBriefly apologize the advantage of victimisation an alpha level of .01 versus a level of .05In general , what is the outrage of using a smaller alpha levelUsing an alpha level of .01 means that the researcher is being more than careful and rigid since there are more chances of evaluate the null than rejecting it with the increase critical values , moreover , a low alpha is more conservative and tends to ne ed high sample mean values in to reject the null hypothesis . An alpha level of .05 is usually the standard alpha value in most social science research , it means that if 95 of the time it is confessedly , then it mustiness be true , it also increases the chances of committing type I error . However , using a smaller alpha level would mean that there is less chance of finding any effect since one must have a greater computed value in to reject the null hypothesisDiscuss the errors that can be made in hypothesis testing...If you want to get a full essay, shape it on our website: OrderCustomPaper.com

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