Estimate the true proportion of home
A report states that 38% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?
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What is the incidence rate of waterborne diseases in Africa? A patient suffering from a waterborne disease is randomly chosen from a clinic in an African village. What is the probability that this patient did not have access tosafe drinking water?
Describe the circumstances under which the shape of the sampling distribution of p-hat is approx.
Verify that it is reasonable to use the t-distribution to perform a test about the average age of driftwood along this beach. Test, at the 5% level, if thers is evidence that the average age of driftwood along this beach is significantly below 130 y
The time to failure of a certain type of electrical component is assumed to follow an exponential distribution with a mean of 5 years. The manufacturer replaces free all components that fail while under guarantee.
A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.
Does the additional survey information from part (b) have much of an effect on the sample size that is required?
Find the probability that the sample mean would be less than 40, to three decimal places. [Hint: Use the correct z-score calculation.
Suppose X,Y,and C represent the length, width, and perimeter of a flat rectangular sheet metal part. Note that Xis a normal random variable having a mean of 15 cm and a standard deviation of 1 cm, and Y is independent of X and normally distributed
Suppose we generate a random variable X in the following way. First we flip a fair coin. If the coin is heads, take X to have a Unif(0,1) distribution. If the coin is tails, take X to have a Unif(3,4) distribution.
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lu
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