# Answer in Statistics and Probability for Matilda #240944

two loading brands of potato chips were tested to compare their sodium content. ten packs of brand a yielded a mean sodium content of 80 mg/pack with a standard deviation of 5.4 mg while eight packs of brand b yielded an average content of 75 mg/pack with standard deviation of 6.1 mg. is there difference in the sodium content of the two brands at the 0.05 level of significance? (assume normality with equal variances)

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Answer in Statistics and Probability for Matilda #240944
Just from $13/Page Let the following notations denote the 2 populations, Population 1 n1=10 “\bar{x}”1=80 s1=5.4 Population 2 n2=8 “\bar{x}”2 =75 s2=6.1 The hypothesis tested is, H0:“\mu”1=“\mu”2 against H1:“\mu”1 “\not=” “\mu”2 at “\alpha” =0.05 Assuming normality and equal variances, this hypothesis is tested using the student’s t distribution. Since population variances are unknown and assumed equal, pooled sample variance is used. Its formula is given by, “Sp^2=((n1-1)s1^2+(n2-1)s2^2)/(n1+n2-2)” =((10-1)*5.42+(8-1)*6.12)/(10+8-2) =9*(29.16)+7*(37.21)/16 =32.681875 The test statistic t*(calculated) is given by, t*=( “\bar{x}”1“\bar{x}”2)“/”“\sqrt{Sp^2*(1/n1+1/n2)}” =“(80-75)/” “\sqrt{32.681875*(1/10+1/8)}” =5/2.71171936 =1.8438(4 decimal places) t* is compared with the table value with n1+n2-2=16 degrees of freedom and “\alpha/2=0.025” since it is a two sided t-test. t0.025, 16=2.120. Considering that t*(calculated)=1.8438 is less than the table value t0.025, 16=2.120, we fail to reject the null hypothesis and conclude that there is a significant evidence at the 95% level of confidence that sodium content for the two brands are not different. # 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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