1.A pharmaceutical company wishes to conduct a sample to determine the proportion of tablets produced that are considered defective. If the pharmaceutical company knows that the proportion of defective tablets is no more than 4%, how many tablets need to be sampled in order to estimate the true proportion within a margin of error of 0.01 at the 10% level of significance.

Standard Normal Distribution Table

2.The average length of time spent recovering after an outpatient surgery is 4.4 hours, with a standard deviation of 1.24 hours.

a.What is the probability that a randomly-selected patient who underwent outpatient surgery will recover in the hospital for less than 3 hoursormore than 6 hours?

P(Recover <3or recover>6)=

P

(Recover <3 or recover>6)=

b.What is the probability that 6 patients who undergo outpatient surgery will recover in the hospital in an average of less than 3 hoursormore than 6 hours?

P(Recover <3or recover>6)=

P(Recover <3or recover>6)=

3.a.If the physiotherapist has a total of 60 patients booked for appointments this week, what is the probability that she will need to spend a total of more than 28 hours with her patients this week?

Hint: First, find average time spent per patient in this group of patients.P(Wait >28)=P(Wait >28)=

b.What is the range of values in which the middle 90% of average total weekly hours spent with patients is likely to fall?

< x <

< x <

Round to the nearest tenth.