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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