# Answer in Statistics and Probability for darv #241101

Two methods of teaching statistics are being tried by a professor. A class of 40 students is taught by method A and a class of 36 is taught by method B. The two classes are given the same final examination. The scores are 1=78, 2  =74. Using a .01 significance level, can we conclude that the average final examination scores produced by the two methods are different if the population standard deviation is 5?

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Answer in Statistics and Probability for darv #241101
Just from $13/Page The following null and alternative hypotheses need to be tested: “H_0:\mu_1=\mu_2” “H_1:\mu_1\not=\mu_2” This corresponds to a two-tailed test, and a z-test for two means, with known population standard deviations will be used. Based on the information provided, the significance level is “\alpha = 0.01,” and the critical value for a two-tailed test is “z_c = 2.5758.” The rejection region for this two-tailed test is “R = \{z: |z| > 2.5758\}.” The z-statistic is computed as follows: “z=\dfrac{\bar{x}_1-\bar{x}_2}{\sqrt{\sigma^2_1/n_1+\sigma^2_2/n_2}}” “=\dfrac{78-74}{\sqrt{(5)^2/40+(5)^2/36}}=3.4823” Since it is observed that “|z| = 3.4823 >2.5758= z_c ,” it is then concluded that the null hypothesis is rejected. Using the P-value approach: The p-value is “p=2P(z>3.4823)=0.000497,” and since “p = 0.000497 < 0.01=\alpha,” it is concluded that the null hypothesis is rejected. Therefore, there is enough evidence to claim that the population mean “\mu_1” is different than “\mu_2,” at the “\alpha = 0.01” significance level. # 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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