A private opinion poll is conducted for a politician to dete…

A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national parks. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 5%?

Smith is a weld inspector at a shipyard. He knows from keepi…

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find more than 25 substandard welds?

A national caterer determined that 87% of the people who sam…

A national caterer determined that 87% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer’s food. Will the distribution of the sample proportion saying that the food is delicious be approximately normal?    

18.  A rescue plane drops a relief package to a stranded fis…

18.  A rescue plane drops a relief package to a stranded fishing boat. The plane continues on the original course at the constant speed after dropping the package. Where is the plane when the package strikes the water along side the stranded boat? Neglect the effects of air resistance.