# Answer in Statistics and Probability for Darv #241087

A company is trying to decide which of two types of tires to buy for their trucks. They would like to adopt to brand C unless there is some evidence that brand D is better. An experiment was conducted where 16 tires from each brand were used. The tires were run under similar conditions until they wore out. The results are:

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Answer in Statistics and Probability for Darv #241087
Just from $13/Page Brand C: 1 = 40,000 kms., s1 = 5,400 kms. Brand D: 2 =38,000 kms., s2 =3,200 kms. What conclusions can be drawn? “n_1=n_2=16 \\nn\bar{x_1}=40000 \\nns_1 = 5400 \\nn\bar{x_2}= 38000 \\nns_2=3200 \\nnH_0: \mu_1 < \mu_2 \\nnH_1: \mu_ 1> \mu_2” When n1 and n2 are small and “\sigma_1” and “\sigma_2” are unknown, we have to use the two-sample t test for independent random samples from two normal populations having the same unknown variance. Test-statistic: “t= \frac{\bar{x_1} – \bar{x_2}}{s_p \sqrt{(1/n_1) + (1/n_2)}} \\nns^2_p= \frac{(n_1-1)s^2_1 +(n_2-1)s^2_2}{n_1+n_2-2} \\nns^2_p= \frac{(16-1)(5400)^2 +(16-1)(3200)^2}{16+16-2} \\nn= \frac{4.374 \times 10^8 + 1.536 \times 10^8}{30} \\nn= 0.197 \times 10^8 \\nns_p=0.4438 \times 10^4 \\nn= 4438.4 \\nnt= \frac{40000 -38000}{4438.4 \sqrt{(1/16) + (1/16)}} \\nn= \frac{2000}{1569.2} \\nn= 1.274” Reject H0 if “tu2265t_{crit}” Let use α=0.05 For one-tail test and degree of freedom “df = n_1+n_2-2= 30 \; t_{crit} = 1.697” “t=1.274 < t_{crit}= 1.697” Accept H0 at 0.05 significance level. Therefore, there is enough evidence to claim that the population mean μ1 is less than the population mean μ2. Brand D is better than C. # 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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