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A soft-drink machine is regulated so that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters,
a) What fraction of the cups will contain more than 224 milliliters?
b) What is the probability that a cup contains between 191 and 209 milliliters?
c) How many cups will probably overflow if 230-milliliter cups are used for the next 1000 drinks?
d) Below what value do we get the smallest 25% of the drinks?
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A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 4% are defective. Find the P-value for a test of the manufacturer's claim.
Suppose that 100 people are given lipid lowering drugs and that the drug appears to be effective in about 20 of them. Effective is defined as lowering their cholesterol values by 10 points in one month.
You take a random sample and perform a hypothesis test, getting a p-value of 0.2578. What is the appropriate conclusion? Conclude at the 5% level of significance.
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Suppose a random sample of 500 adults is asked, "Do you own a credit card?" Describe the sampling distribution of p ^ , the proportion of adults who own a credit card.
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