D.Rose Mat 274 Project.docx

Dyane Rose 20835047 MAT 274 BENCHMARK FORMAT AND STYLE TEMPLATE 1. For each part, of the required area under the normal curve. In addition, include a screenshot of your Excel computation to find this area. a. Insert screenshot and figure for part (a) Given Data Value (x) Data Value (x) 140 Mean 147 Standard Deviation 8 Sample Size (default 1) 1 Z-Score -0.875 Left Probability P(x<a) 0.19078695 3 Right Probability P(x>a) 0.80921304 7 b. Insert screenshot and figure for part (b) Given Data Value (x) Data Value (x) 140 Mean 147 Standard Deviation 8 Sample Size (default 1) 8 Z-Score - 2.47487373 4 Left Probability P(x<a) 0.00666416 4 Right Probability P(x>a) 0.99333583 6

c. Insert screenshot and figure for part (c) 2. Given Data Value (x) Data Value (x) 140 Mean 147 Standard Deviation 8 Sample Size (default 1) 11 Z-Score - 2.90204669 2 Left Probability P(x<a) 0.00185366 6 Right Probability P(x>a) 0.99814633 4 d. Comment on the relationship among the probabilities in parts (a),(b), and (c). As the sample size gets higher, the probability will also increase. There is a direct relationship between the two. The right probability increases because there is a greater amount of chances the group has in getting diabetes. 2. Insert a conditional probability table here, then answer the questions in each art below. Positive Test Result Negative Test Result Total Has Diabetes 6790 210 7000 No Diabetes 10230 82,770 93,000 a. Answer part (a) here. 6,790 b. Answer part (b) here. 6790/(6790+10230)= 0.3989

c. Answer part (c) here. 210 d. Answer part (d) here. 210/(210+82770)=0.00253 e. Comment on how prevalence of the disease affects your ability to trust the test. Discuss what factors would lead you to trust the blood test, or not trust the blood test. Based on the prevalence of the disease, I do not trust the test because the probability of having the disease given that the person tested positive is too low of a number. In order for me to trust it the number will have to be much higher than what it is as it will ensure the effectiveness of the test. 3. Answer each part below. a. Detailed experimental design should include the type of experiment, how you chose your sample size, what data is being collected, and how you would collect that data. Experimental design statistics involves the design and analysis of experiments. It is also when an experiment is performed in a structured way so that the most accurate results can be a useful tool to the hypothesis of the experiment. There are various ways to choose your sample size, this includes by effect size, population standard deviation, postulated effect, and the significance level. The data that is being collected is the glucose levels of patients. Blood sample is obtained from the patients. Blood is taken from the patients by firstly asking the patient to

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