A random sample 328 medical doctors showed that 171 had a solo practice. Let p r

Question

A random sample 328 medical doctors showed that 171 had a solo practice. Let p represent the proportion of all medical doctors who have a solo practice. Find a 9594 confidence interval for population proportion A random sample of medical files is used to estimate the proportion p of all people who have blood type If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 9094 sure that the point estimate p within a distance of 0.05 from p ? Answer part(a) if you use the preliminary estimate that about 8 out of 90 people have blood type B. Suppose that you wish to estimate the mean sales amount per retail outlet for a particular consumer product during the past year. The number of retail outlets is large and sales amounts are assumed to be normally distributed. For a random sample of n= 25, the sample mean. i = $1000 and sample standard deviation s= $200. Construct a 9594 confidence interval for estimating population mean A random sample of 100 GRE scores has a mean of 1600. Assume that GRE scores have a standard deviation of a =300. Construct a 9994 confidence interval estimate of the mean GRE score. From historical records, the standard deviation of the sales level per retail outlet for a consumer product is known to be and the population of sales amounts per outlet is assumed to be normally distributed. What is the minimum sample site required to estimate the mean sales per outlet within $S0 and with 90 percent confidence? For a particular consumer product, the mean dollar sales per retail outlet last year in a sample of n =10 stores was T =$3,425 with s = $200. The sales amounts per outlet are assumed to be normally distributed. Estimate the standard deviation of dollar sales of this product in all stores last year, using a 90 percent confidence interval. Women athletes at the University of Colorado. Boulder, have a long-term graduation rate of 6794 Over the past several years, a random sample of 38 women athletes at the school showed that 31 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the University of Colorado. Boulder, is now more than 6794? Use a 594 level of significance.

Explanation / Answer

Number 2

a).

Sample size

P=0.5(assumed)

For 90%, z=1.645

d=0.05

Sample size = (z2*p*(1-p))/d2

= (1.6452*0.5*0.5)/0.052

=270.6

The sample size required= 271

b).

Sample size

P=8/90=0.0889

For 90%, z=1.645

d=0.05

Sample size = (z2*p*(1-p))/d2

= (1.6452*0.0889*0.9111)/0.052

=87.6

The sample size required= 88

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