Question
MATH225 Statistical Reasoning for the Health Sciences
Week 5 Assignment Central Limit Theorem for Proportions
Question Pharmacy technicians are concerned about the rising
number of fraudulent prescriptions they are seeing. A small
pharmacy sees 1,500 new prescriptions a month, 28 of which are
fraudulent.
Find the population proportion, as well as the mean and
standard deviation of the sampling distribution for samples of size
n=180.
Round all answers to 3 decimal places.
$p =$p = $
$mu_{p?} =$μp? = $
$sigma_{p?} =$σp? = $
Question From recent survey data, a car buying business finds
that 12.5% of the proportion of adults in a city would be likely to
use their services. For a random sample of 115 people, what is
standard deviation for the sampling distribution of the sample
proportions, rounded to three decimal places?
Question A brokerage company is analyzing its retirement
accounts for its clients nearing retirement. From recent survey
data, the proportion of adults in the United States who say they
are financially ready for retirement is 31%. For a random sample of
size 85, what is standard deviation for the sampling distribution
of the sample proportions, rounded to three decimal places?
Question Of the 13,500 savings accounts in a bank,
4,675 belong to people younger than 40 years old. The bank
president would like to increase her institution’s marketing
strategy to younger customers, so she is examining the population
proportions in order to create a statistical study.
Find the population proportion, as well as the mean and
standard deviation of the sampling distribution for samples of size
n=400.
Round all answers to 3 decimal places.
$p =$p = $
$mu_{p?} =$μp? = $$
$sigma_{p?} =$σp? = $
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