# Answer in Statistics and Probability for Goldie #254449

The management of Resale Furniture, a change of second hand furniture stores in Metro Manila, designed an incentive plan for salespeople. To evaluate this innovative incentive plan, 10 salespeople were selected at random, and their weekly incomes before and after the incentive plan were recorded.

SALE PERSON 1

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Answer in Statistics and Probability for Goldie #254449
Just from $13/Page Before: 2000 After: 3500 SALE PERSON 2 Before: 3000 After:4120 SALE PERSON 3 Before: 2500 After: 3800 SALE PERSON 4 Before: 3100 After: 4200 SALE PERSON 5 Before: 1900 After: 1820 SALE PERSON 6 Before: 1750 After: 1600 SALE PERSON 7 Before: 2300 After: 3400 SALE PERSON 8 Before: 3210 After: 1900 SALE PERSON 9 Before: 2340 After: 2340 SALE PERSON 10 Before: 1870 After: 3290 Was there a significant increase in the typical salesperson’s weekly income due to the innovative incentive plan? Use the 0.05 level of significance. The two samples are dependent because each pair of figures apply to one person. Therefore, to perform this test, we shall use the paired t-test to make a decision as described below. The hypotheses to be tested are, “H_0:\mu_d=0” “Against” “H_1:\mu_d\gt0”, where “d” is the difference between each pair of observations. To test these hypotheses, we first determine the mean of the differences“(\bar{d})” given by, “\bar{d}=(\sum(d))/n”, where “n=10.” Now, “\sum(d)=-6000” Therefore, “\bar{d}=-6000/10=-600” Variance of the differences is given by, “V(d)=\sum(d-\bar{d})^2/(n-1)” “V(d)=299375800/9=” 33263978 The standard deviation “SD(d)” is given by, “SD(d)=\sqrt{V(d)}=\sqrt{33263978}=5767.493197” The test statistic is given by, “t^*=\bar{d}/SD(d)/\sqrt{n}=-600/(5767.493197/\sqrt{10})=-600/1823.841489=-0.329 (2\space dp).” “t^*” is compared with the table value with (n-1)=10-1=9 degrees of freedom at “\alpha=0.05” level of significance. The table value “(t)” is, “t_{\alpha, 9}=t_{0.05,9}=1.833” and the null hypothesis is rejected if “|t^*|\gt t_{0.025,9}” Since “|t^*|=|-0.329|=0.329\lt t_{0.025,9}=1.833”, we fail to reject the null hypothesis and conclude that there is no sufficient evidence to show that there was a significant increase in typical salesperson’s weekly income due to the innovative incentive plan at 5% level of significance. # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

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