# Answer in Statistics and Probability for Md. Jahangir Alam #241865

Let X denote the grades in a statistics course.

Hypothesis tested is,

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Answer in Statistics and Probability for Md. Jahangir Alam #241865
Just from $13/Page H0: X ~ Poisson distribution against H1: X does not follow a Poisson distribution We first compute the parameter “\lambda=(\displaystyle\sum{(f*x)})/n=716/302=2.37(2 decimal places).” We then compute respective probabilities for “x=1,2,3,4,5,6,7,8” using the Poisson distribution given by; “P”x “=P(X=x)=(e^{-\lambda}*\lambda^x)/x!” Therefore, P1=P(X=1)=e-2.37*(2.37)=0.22 P2=P(X=2)=e-2.37*(2.372)/2!=0.26 P3=P(X=3)=e-2.37*(2.373)/3!=0.21 P4=P(X=4)=e-2.37*(2.374)/4!=0.12 P5=P(X=5)=e-2.37*(2.375)/5!=0.06 P6=P(X=6)=e-2.37*(2.376)/6!=0.02 P7=P(X=7)=e-2.37*(2.377)/7!=0.008 P8=P(X=8)=e-2.37*(2.378)/8!=0.002 Next is to determine the expected frequencies, EX=n*PX E1=n*p1=302*0.22=66.87 E2=n*p2=302*0.26=79.28 E3=n*p3=302*0.21=62.65 E4=n*p4=302*0.12=37.13 E5=n*p5=302*0.06=17.61 E6=n*p6=302*0.02=6.96 E7=n*p7=302*0.008=2.36 E8=n*p8=302*0.02=0.70 Since the expected frequencies for x=7 and x=8 are less than 5, they are both combined with the expected frequency for x=6 to get a total expected frequency of 10.01. With these values, we can now find the chi square test statistic defined by, “\chi”2(calculated)=“\displaystyle\sum_{i=1}^{6}(O_{i}-E_{i})^2/E_i” =(136-66.87)2/66.87+(60-79.28)2/79.28+(34-62.65)2/62.65+(12-37.13)2/37.13+(55-17.62)2/17.62+(5-10.01)2/10.01=188.17(2 decimal places). “\chi”2 table value with k-1= 6-1=5degrees of freedom at “\alpha” =0.05=11.0705. “\chi^2”(calculated)=188.17 is greater than the table value of 11.0705 hence, we reject the null hypothesis that X follows a Poisson distribution and conclude that there is no sufficient evidence to show that grades in a statistics class follow a Poisson distribution. # 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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