1. Because of the overuse of natural latex gloves,one out of eighthealthcare workers in the E.R. has developed latex sensitivities. There are 66 healthcare workers in the E.R.

Round your answers to 4 decimal places

a.Is this situation appropriate to use the normal distribution to approximate thep distribution

n=

np=

nq=

Answer:Yes or No

Mean of this distribution=

Mean of this distribution=

a.Identify the independent and Dependent variables.

b.What is the probability that between10% & 20%of the healthcare workers in the E.R. will have a latex allergy?

Z1=

Z2=

Round your answers to 2 decimal places

P(10%

c.If you sample100healthcare workers instead, would the probability of part (b) increase or decrease?

Answer:(Increase or Decrease)

The monthly premium quoted by an insurance company for a critical illness policy was collected from a sample of 6 adult male smokers at different age. The data for the sample are shown:

Age28 25 50 39 47 31 Premium ($)75 40 175 125 250 105

Using Age to predict premium, the Linear Regression equation is given by:

=6.556X112andr2=0.813

a.Identify the independent and Dependent variables.

b.Determine the slope.

Slope=

Round to 3 decimal places

c.Determine|r|

|r|=

Round to 3 decimal places

d.Interpretr=(Positive/Negative)and(No/Very Weak/WeakModerate/Strong)

Linear Correlation: Significant or Not Significant

.Predict the monthly premium for a 40 years old adult male smoker.

Premium=

Round to the nearest dollar