# math221 In a survey of 3971 adults,

June 14, 2018

In a survey of 3971 adults, 744 say they have seen a ghost.Construct a 99% confidence interval for the population proportion. Interpret the results.Outside a home, there is a 4-key keypad with letters A, B, C, and D that can be used to open the garage if the correct four-letter code is entered. Each key may be used only once. How many codes are possible?A machine cuts plastic into sheets that are 35feet (420inches) long. Assume that the population of lengths is normally distributed. Complete parts(a) and(b).aThe company wants to estimate the mean length the machine is cutting the plastic within 0.125 inch. Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 0.25 inch.bRepeat part (a) using an error tolerance of 0.0625 inch.According to asurvey,60%of the residents of a city oppose a downtown casino. Of these60%about6out of 10 strongly oppose the casino. Complete parts(a) through(c).(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose thecasino? Explain.

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