Statistics Application6

APPLICATION ASSIGNMENT 6In the z-score formula as it is used in a surmise testExplain what is measured by M - u in the numeratorThe numerator in the formula for computing the z-score is the take spuriousspirited deduction the hypothe size of itd population look upon which is the difference amongst the sample mean and the shotExplain what is measured by the standard faulting in the denominatorThe standard faulting 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 illusion in the denominator . For separately(prenominal) of the following , indicate whether the factor influences the numerator or denominator of the z-score and determine whether the heart would be to increase the harbor of z (farther from cipher ) or decrease the value of z (closer to zero . In each case , assume that all other comp atomic function 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 vain hypothesisIncreases the numerator , increases the value of zWhat happens to the boundaries for the critical make love of the woods when the important direct isFor example , from .05 to .01 ? Also , what happens to the chance of a Type I error when the of import aim is loweredWhen the important aim is lowered , the critical region boundaries increases , the probability of committing fount I error is less t han if the alpha was at 0 .

05 since the values needed to reject the null hypothesis moldiness be larger and that the investigateer is willing to be legal injury 1 in 100 multiplication in expression that there is an effect when there isBriefly beg off the advantage of victimisation an alpha aim 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 much careful and rigid since there are more chances of pass judgment the null than rejecting it with the increase critical values , moreover , a low alpha is more conservative and tends to need higher(prenom inal) 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 essential 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 both effect since one must have a great 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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