# Answer in Statistics and Probability for Marie #240681

An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05.

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Answer in Statistics and Probability for Marie #240681
Just from $13/Page Calculate the mean and standard deviation of the available data. “\bar{x} = \frac{\sum x_i}{n} \\nn= \frac{23.01 + 22.22+…+22.59}{5} \\nn= 22.496 \\nns = \sqrt{ \frac{\sum (x_i – \bar{x})^2}{n-1}} \\nn= \sqrt{\frac{(23.01 -22.496)^2 +(22.22-22.496)^2 +…+(22.59-22.496)^2}{4}} \\nn= 0.3783 \\nnH_0: \mu = 22.5 \\nnH_1: \mu u2260 22.5” When n<30 and “\sigma” is unknown a one sample t-test is used. Test-statistic: “t = \frac{\bar{x} – \mu}{s/ \sqrt{n}} \\nn= \frac{22.496 -22.5}{0.3783 / \sqrt{5}} \\nn= -0.02” The absolute calculated t value is, |t| = 0.02 Calculate the degrees of freedom. “df = n – 1 \\nn= 5-1 \\nn= 4 \\nnu03b1=0.05” From the standard t table values, observe that the critical value of t for the two tails test at the 5% level of significance and 4 degrees of freedom is 2.776 Compare the absolute calculated t value with the critical value. Here, the absolute calculated t value is less than the critical value of t so fails to reject the Null hypothesis. Hence, conclude that the true mean of average interior temperatures is 22.50 # 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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