Statistics, Course Project Part B

Keller Graduate School of Management Project Part B: Answer a. In this part of the project I am going to examination the managers claim that the add up mean yearbook income was less than $50,000. The supposition examineing is done through and through the sideline steps: The bootless possibleness H0 is that the mean one-year income ? is get even to $50,000. H0:? = $50,000. The alternative hypothesis H1 is that the mean one-year income ? is less than $50,000. H1:? < $50,000 importation level chosen is 5% or ? = 0.05 Here, the population modular deviation is unknown. and so, we use a t statistic Therefore the try statistic used is t = X-?S/n follows a t distribution with n-1 degrees of freedom From the t sidestep agree to 0.05 opportunity, the critical take to be t? =1.6766. Hence the critical region is t < -1.6766. Alternatively, we baulk the fruitless hypothesis, if the p ap prize is less than the conditional relation level exchange the value we get t = 43.74-5014.6396/50 = -3.02 The p value corresponding to t = -3.02 and 49 d.f. is 0.002 which is elfiner than the deduction level. The value of the rivulet statistic is in the critical region and hence it is significant.

Therefore, we reject the zip hypothesis at 5% level of significance. The p-value is 0.002 which is olive-sizeder than the significance level. Hence there are 0.002 chances that such a small value can observe when the null hypothesis is true. Since, this opportunity is smaller than the significance level we r eject the null hypothesis at 5% level. H! ence, we conclude that there is enough post to support the managers claim that the average one-year income was less than $50,000. b. The claim is that the true population proportion of customers who plump out in an urban area exceeds 40%. In the attached up sample of size 50, thirteen are from the urban. The null hypothesis H0 is that the population proportion of customers who live in an urban is 40%. H0:p = 0.40. The...If you want to get a expert essay, order it on our website: BestEssayCheap.com

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