# Answer in Statistics and Probability for boo #253199

Since the chosen sample sizes “n_1” and “n_2” are greater than 30 and the population variances are known, we consider using the Normal distribution to perform our test.

The hypothesis we test is,

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Answer in Statistics and Probability for boo #253199
Just from $13/Page “H_0:\mu_1=\mu_2” “Against” “H_1:\mu_1\gt\mu_2” The test statistic is given by the formula, “Z^*=(\bar{x}_1-\bar{x}_2)/\sqrt{(\sigma_1^2/n_1+\sigma_2^2/n_2)}” “Z^*=(13585-13600)/\sqrt{1024/51+1024/34}=-15/7.084919=-2.1172(4\space d\space p).” “Z^*” is compared with the table value at “\alpha=0.01” level of significance and this value is given by, “Z^*=2.33” and reject the null hypothesis if “Z^*\gt Z_\alpha” Since “Z^*=-2.1172\lt Z_\alpha=2.33” , we fail to reject the null hypothesis and we conclude that there is no sufficient evidence to show that on average the houses in town B are cheaper than the one in town A at 1% level of significance. To compute the p-value, we use the formula below. “p-value=1-\phi(Z^*)”. We use this formula because the test we are performing is an upper-one tailed test. First, “\phi(Z^*)=\phi(-2.1172)” is obtained in normal distribution table. Thus, “\phi(-2.1172)=0.0170” and the p-value is 1-0.0170=0.983. # 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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