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1. Consider a small experiment to investigate if biofeedback can reduce blood pressure. Six subjects were randomized to the treatment group (n=2) and the control group (n=4) and the difference in blood pressure before and after biofeedback/control treatment is recorded as follows:
The test statistics will be the observed difference in the sample means. There are 15 possible permutations. Here is the sorted list of test statistics:
What is the permutation test P-value for testing the equality of the means versus the hypothesis that the mean change for the treatment group is larger than the mean treatment for the control group?A. 0.067B. 0.133C. 0.933D. 0/05
2. An inventor claims that a new invention increases gas mileage by 4%. A test of the device was done by randomly selecting 10 cars (of the same make and model) that were fitted with the device and 10 cars that served as a control. These 20 cars were randomized to drivers and the mileage (mpg) was recorded for each car. A permutation test was used to test if the mean mileage using the device was greater than the mean mileage of the control group. The following figure presents a histogram of the permutation test differences in means (test control) based on 1000 permutations. The dark vertical line is the observed test statistic.
What is the approximate permutation test P-value?A. 0.20B. 0.15C. 0.85D. 1.0
A production process manufactures items with weights that are normally distributed with mean 16 pounds and standard deviation 0.15 pound. An item is considered to be defective if its weight is less than 15.8 pounds or greater than 16.2 pounds.
Average electric use was studied.a previously known population standard deviation was 450KWH. a sample of 81 houses was studied and found to have a mean of 1858 KWH. Find the 95% confidence interval for the true mean.
Why do so many of life's events share the same characteristics as the central limit theorem? Why are estimations and confidence intervals important?
Evaluate 2-month moving average and Exponential smoothing by MAD.
What is the probability of receiving more than three pieces of junk mail today?
There are 72 data values altogether. The degrees of freedom for the Between(dfB) and the degrees of freedom for the With-in (dfW) are?
What step-by-step methods might make this material easier to learn and internalize? Are the formulas really as terrifying as they might first appear?
A random sample of n=100 observations is selected from a population with mean of 29 and sandard deviation of 21. Approximate the probabilities shown below
Use a 95% confidence interval for multiple comparisons. Show your calculation by hand between Monday and Tuesday. Match your answer with Minitab output. Attach Minitab output.
Suppose we compare two population means, μ 1 - μ 2 . In each case, indicate how μ 1 relates to μ 2 :
Determine the mean and variance for the number of Version 3 that someone would expect to get if they were to purchase 18 of the board games at random.
construct a 95% confidence interval for the weekly average expenditure on fast food for adults 24 years of age and under. Assume fast food weekly expenditures are normally distributed.
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