6. Describe the action that would result in a type I errorand a type II error if

Question

6. Describe the action that would result in a type I errorand a type II error if each of the following null hypotheses weretested. (4 pts)

a. H0: There is no waste in US DefenseDepartment spending

b. H0: This fast-food menu is not lowfat

1.     Pleaseanswer each question below. (6pts – 3 pts. ea.)

a.     In what ways is the t distributionsimilar to the standard normal distribution?

b.    In what ways is the t distribution differentfrom the standard normal distribution?

Please specify how the formula for thet test differs from the formula for the z test?

Explanation / Answer

Given that the sample size n=20 the formla for sample sd=1/n-1(xi-mean)2 a) the t distribution becomes normal when n is large i.e ntends to       t is equal to the1/standard normal variate,when =0,2 =1 b) the t distribution differs from sdandard normaldistribution when mean>0 and variance is always greater than orequal to zero. a) the t distribution becomes normal when n is large i.e ntends to       t is equal to the1/standard normal variate,when =0,2 =1 b) the t distribution differs from sdandard normaldistribution when mean>0 and variance is always greater than orequal to zero.

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