question 3

A drug tester claims that a drug cures a rare skin disease 84% of the time. The claim is checked by testing the drug on 100 patients. If at least 79 patients arecured, the claim will be accepted.

Find the probability that the claim will be rejected assuming that themanufacturer's claim is true. Use the normal distribution to approximate the binomial distribution if possible.

The probability is _____

(Round to four decimal places asneeded.)

question 5

The average time spent sleeping(in hours) for a group of medical residents at a hospital can be approximated by a normaldistribution, as shown in the graph to the right. Answer parts(a) and(b) below.

SleepingTimesof

MedicalResidents

=6.1hours

=1.2hour

A graph titled "Sleeping Times of Medical Residents" has a horizontal axis labeled "Hours" from 2 to 10 in increments of 1. A normal curve labeled mu = 6.1 hours and sigma = 1.2 hour is over the horizontal axis and is centered on 6.1.

(a) What is the shortest time spent sleeping that would still place a resident in the top5% of sleepingtimes?

Residents who get at least _____

hours of sleep are in the top5% of sleeping times.

(Round to two decimal places asneeded.)

(b) Between what two values does the middle50% of the sleep timeslie?

The middle50% of sleep times lies between ____hours on the low end and ____

hours on the high end.

question 6

A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If youcan, find the mean and standard deviation. If youcannot, explain why.

A survey of adults found that 53% have used a multivitamin in the past 12 months. You randomly select 60 adults and ask them if they have used a multivitamin in the past 12 months.

Select the correct answer belowand, ifnecessary, fill in the answer boxes within your choice.

A.

No, because np<5.

B.

No, because nq<5.

C.

Yes, the mean is ____

and the standard deviation is ___

(Round to two decimal places asneeded.)