# Answer in Statistics and Probability for boo #246042

Given that the mean hospital stay is mu= 7.1 days and to test that in 2002 whether the stay will be less due to the initiative aimed at reducing the healthcare costs a sample of n = 40 patients is selected which results in sample mean stay of “\bar{X}= 6.85” days sand the sample standard deviation is s = 7.01 days.

Thus based on the claim the hypotheses are:

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Answer in Statistics and Probability for boo #246042
Just from $13/Page “H_0: \mu = 7.1 \\nnH_1 : \mu < 7.1” Based on the hypothesis it will be a left tailed test. Since the sample size is greater than 30 and the population standard deviation is unknown hence t-distribution is applicable for hypothesis testing. So, a degree of freedom is used which is calculated as df = n-1= 40-1 =39. Test statistic: “t= \frac{\bar{X}- \mu}{s / \sqrt{n}} \\nnt = \frac{6.85 -7.1}{7.01 / \sqrt{n}} = -0.226” Rejection region: Reject the H if P-value is less than 0.05. P-value: The P-value is computed using the excel formula for t-distribution which is =T.DIST(-0.226, 39, TRUE), thus the P-value is computed as 0.4114. Conclusion: Since the P-value is greater than 0.05 hence we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean days has decreased. # 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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