A doctor wants to test if a patient should be diagnosed with diabetes based on their blood results and if their gender plays a role in the situation. There is a total of 22 patients, 11 of them being women and 11 men, but there are only enough diabetes blood tests for 10 patients. For this randomized block design, we can randomly choose 5 men and 5 women to receive testing and the other 6 men and 6 women will receive a placebo and in this case the placebo would be a different form of diabetes testing such as a glucose monitoring system. Toward the end, you can collect blood glucose levels from both groups and determine which one seems to be more accurate. The mean for the data set would be 135.87 and the standard deviation would be 4.71. How is randomization used in the sampling or assignment strategy? Remember to discuss how you would randomize for sampling and assignment, what type of randomization is being used?What is the type of inferential test utilized in the experiment. Include type of test used, number of tails, and a justification for this choice.Provide a formal statement of the null and alternative hypothesis for the test. Make sure to include correct statistical notation for the formal null and alternative, do not just state this in words. Provide a confidence interval for estimating the parameter in the test. State and discuss the chosen confidence level, why this is appropriate, and interpret the lower and upper limitsProvide an interpretation of your p-value and confidence interval, including what they mean in the context of your experimental design. Answer each part below. State your significance level, interpret your p-value, and make a decision on the null.

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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A doctor wants to test if a patient should be diagnosed with diabetes based on their blood results and if their gender plays a role in the situation. There is a total of 22 patients, 11 of them being women and 11 men, but there are only enough diabetes blood tests for 10 patients. For this randomized block design, we can randomly choose 5 men and 5 women to receive testing and the other 6 men and 6 women will receive a placebo and in this case the placebo would be a different form of diabetes testing such as a glucose monitoring system. Toward the end, you can collect blood glucose levels from both groups and determine which one seems to be more accurate. The mean for the data set would be 135.87 and the standard deviation would be 4.71.

How is randomization used in the sampling or assignment strategy? Remember to discuss how you would randomize for sampling and assignment, what type of randomization is being used?
What is the type of inferential test utilized in the experiment. Include type of test used, number of tails, and a justification for this choice.
Provide a formal statement of the null and alternative hypothesis for the test. Make sure to include correct statistical notation for the formal null and alternative, do not just state this in words.
Provide a confidence interval for estimating the parameter in the test. State and discuss the chosen confidence level, why this is appropriate, and interpret the lower and upper limits
Provide an interpretation of your p-value and confidence interval, including what they mean in the context of your experimental design. Answer each part below. State your significance level, interpret your p-value, and make a decision on the null.

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