# Answer in Statistics and Probability for Goldie #253644

Based on the concept on testing the difference between two means using z-test and the learning exercises that you have done, write your arguments or lessons learned below.

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Answer in Statistics and Probability for Goldie #253644
Just from $13/Page 1. 2. 3. 4. 5. Z-test is a statistical test that compares the difference between two population means. Two random samples of sizes “n_1” and “n_2” respectively are drawn from two normal populations with means “\mu_1” and “\mu_2” and variances “\sigma^2_1” and “\sigma^2_2”. Conditions for this test to be performed include, • Two samples must be randomly selected. • The samples must be independent. • Each sample size must be at least 30 and the population variances are known. If these requirements are met, the difference of the two sample means follow a standard normal distribution with mean “\mu_{\bar{x}_1-\bar{x}_2}=\mu_1-\mu_2” and variance, “\sigma^2_{\bar{x}_1-\bar{x}_2}=\sqrt{(\sigma_1^2/n_1)+(\sigma^2_2/n_2)}”. The Null hypothesis to be tested is given as, “H_0:\mu_1=\mu_2” against the alternative hypothesis that can either be two-sided or one-sided and they can be written as below. Two sided alternative hypothesis “H_1:\mu_1\not=\mu_2” One sided alternative hypothesis “H_1:\mu_1\gt\mu_2” or “\mu_1\lt\mu_2” The test statistic used is, “Z_0=(\bar{x}_1-\bar{x}_2)/\sqrt{(\sigma_1^2/n_1)+(\sigma^2_2/n_2)}” The null hypothesis is rejected if the calculated “Z_0” is such that “|Z_0|\gt Z_{\alpha/2}” for a two sided test and for a one sided test it is rejected if “Z_0\gt Z_\alpha” for upper tailed one sided test and if “Z_0\lt-Z_\alpha” for lower tailed one sided test for a specified “\alpha” 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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