The document discusses three questions regarding estimating population parameters from sample data:
1) It asks to find the sample size needed to estimate the difference between two population means within a given margin of error and confidence level, given information about the population means and variances.
2) It provides sample data from two surgical procedures and asks how large a sample would be needed to estimate the difference in true success rates within 0.10 at 95% reliability.
3) It discusses estimating a population mean from a sample with a given confidence interval width, where information is provided about the population mean and variance.
1. Find the appropriate values of n1 and n2 (assume that n1 = n2) ne.pdf
1. 1. Find the appropriate values of n1 and n2 (assume that n1 = n2) needed to estimate (?1 ? ?2)
with following:
(a) A sampling error equal to 3.2 with 95% confidence. From prior experience, it is known that
?1 =15and ?2 =17. 1 ?
(b) A sampling error equal to 8 with 99% confidence. The range of each population is 60.
(c) A 90% confidence interval of width 1.0. Assume that ?12 = 5.8 and ?2 = 7.5. 7.
2.Two surgical procedures are widely used to treat a certain type of cancer. To compare the
success rates of the two procedures, random samples of the two types of surgical patients were
obtained and the numbers of patients who showed no recurrence of the disease after a 1-year
period were recorded. The data are shown
n >number of successes
procedure A >100 81
procedure B >100 79
How large a sample would be necessary in order to estimate the difference in the true success
rates to within .10 with 95% reliability?
Solution
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https://docs.google.com/viewer?a=v&q=cache:WD6KzdF3ZwgJ:ww2.justanswer.com/uploads/r
ajeevanpillai/2011-06-01_110723_4q.doc+&hl=en&gl=in&pid=bl&srcid=ADGEEShFdzwisX1J
UUn1Zm6FuADQSzgOJ36Li16vk3X_lLVMf7Sc10KxoKewVFji3LGPmGXtd_8pL_SSkuGCT
Eh6SIzWKFYhX41BKWh_VKv-
nYp2DZ6yxEdp_l3a3h_lQ24jzKasJgm5&sig=AHIEtbRF9LsqxPYlr92qZMkJM59Yei_5Gw