41. Suppose X has the binomial distribution, XB(25,1/5). Find the approximate va

Question

41. Suppose X has the binomial distribution, XB(25,1/5). Find the approximate value of P(35.2. (Hint: use the Central Limit Theorem). a. 1 b. .89c. .11 d. .72 e. .27 42. If in a regression you estimated 34 and calculated its standard error to be s, would you reject the null hypotheses that 3-0 at a 90 % confidence level? b. No, because the t-statistic is large a Yes. because the t-statistic is small c. No, because the t-statistic is sma . Not enough information e. Yes, because the t-statistic is large

Explanation / Answer

41) here mean =np =25*(1/5)=5

and std deviation=(np(1-p))1/2 =2

therfore for n=36 ; std error of mean =std deviaiton/(n)1/2 =2/(36)1/2 =0.3333

hence P(Xbar>5.2)=P(Z>(5.2-5)/0.3333)=P(Z>0.6)=0.27

option E is correct

42) as test statisitc t=b/std error =4/8 =0.5

hence option C is correct

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