Week2Assignment - BST 322 Week 2 Assignment 1 What is the...

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BST 322 Week 2 Assignment 1. What is the probability of rolling a four in the gambling dice game of craps (given two six sided dice)? What is the probability that a player can roll a four 3 times in a row (assume that rolling the dice each time does not affect the outcome of the next roll)? A.) The probability is 8.33%. B.) 3/36 x 3/36 x 3/36= .0579% 2. Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 30 people is picked from population A, and random sample of 50 people is selected from Population B. Which sample mean will probably yield a more accurate estimate of its population mean? Why? Population B would probably yield a more accurate estimate of its population. This is because as a population size increases, the SEM decreases. This would put the sample mean at a value closer to the overall mean. 3. Suppose we obtained data on vein size after application of a nitroglycerin ointment in a sample of 50 patients. The mean vein size is found to be 8.7mm with an SD of 2.1. Using a t distribution table, what are the confidence limits for a 95% confidence interval? For a 99% confidence interval? One sample T confidence interval: μ : Mean of population 95% confidence interval results: Mean Sample Mean Std. Err. DF L. Limit U. Limit μ 8.7 0.29698485 49 8.1031866 9.2968134 One sample T confidence interval: μ : Mean of population 99% confidence interval results: Mean Sample Mean Std. Err. DF L. Limit U. Limit μ 8.7 0.29698485 49 7.9040949 9.4959051 4. In a pilot study evaluating the use of a new drug to lower resting heart rates (HR) of patients, the following data was recorded: Subject # Resting HR 001 72 002 88 003 71 004 87 005 64 006 77 007 79 008 59 009 77
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010 68 011 78 012 89 013 91 014 81 015 85 016 75 017 69 Given that the average resting HR of the general population for this study is 72, use StatCrunch to perform the appropriate t test. What is the value of t ? Using an alpha of 0.05, is the t statistic significant? Why? What are the confidence limits for a 95% confidence interval here and what do they mean for this patient group? Copy and Paste your work from StatCrunch into your Word document submission. One sample T hypothesis test: μ : Mean of variable H 0 : μ = 72 H A : μ ≠ 72 Hypothesis test results: Variable Sample Mean Std. Err. DF T-Stat P-value HeartRates 77.058824 2.2269581 16 2.2716294 0.0373 One sample T confidence interval: μ : Mean of variable 95% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit HeartRates 77.058824 2.2269581 16 72.337883 81.779764 We know it is significant because the P-value of 0.037 is less than 0.05. The T-stat is of 2.27 is greater than 2.21. Both indicate that this test result is significant.
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