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The lapping process, which is used to grind certain silicon wafers to the proper thickness, is acceptable only if 'sigma', the population standard deviation of the thickness of dice cut from the wafers, is at most 0.50 mil. Use the 0.05 level of significance to test the null hypothesis 'sigma' = 0.50 against the alternative hypothesis 'sigma' > 0.50, if the thickness of 15 dice cut from such wafer have a standard deviation of 0.64 mil.
a) What is the equation of the regression line for the pairs (X,Y) shown below? Assume Y on X regression line.
b) What Y is predicted when X=72?
X Y
70 127
66 112
75 146
71 131
67 116
62 97
Differentiate between correlation and causation. What are the practical applications? How would it be used in the workplace?
Compute the number of French fries that would have to be sampled and measured to be 98% sure of being within 0.4 cm of the true mean.
Determine a 95 percent confidence interval for the population mean.
A permutation resample for a two-sample test
Experience has shown that radon gas level is approximately normally distributed for this population.
The data below shows the time to process an inpatient admission, before and after a system usage training session was given. The following hypotheses were formulated for this study.
The mean of a normal probability distribution is 60; the standard deviation is 5.
They have collected data on gender, shoe size, and height to see if they can change their business model to include only one size of shoes regardless height or gender of the wearer.
Assume Nick doesn't know how his received he suppose that all three states of nature are equally likely to occur. If Nick uses the equally likely criterion illustrate what decision would he make.
Considering all of the day to day activities you are engaged in at work and in your personal lives, write a 200 (or more) word paper that describes at least three (3) different statistical usages that you see regularly.
Categorize the following as discrete or continuous random variables.
In order to estimate the proportion of families who prefer female baby-sitters to male baby-sitters with an error of at most 8 percentage points and with at least 95 percent confidence, how large a sample should be taken?
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