This activity will allow you to explore on finding and interpreting confidence intervals for both a population mean and a population proportion. Read the steps below and complete each item.
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1. Instructor Ramos is concerned about the amount of time teachers spend each week doing schoolwork at home. A simple random sample of 52 teachers had a mean of 8.5 hours per week working at home after school.
Construct and interpret a 95% confidence interval for the mean number of hours per week a teacher spends working at home. Assume that the population standard deviation is 1.5
hours per week.
2. Ramos is concerned about the number of prescriptions his elderly clients have. He would
like to create a 98% confidence interval for the mean number of prescriptions per client with a maximum error of 2 prescriptions. Assuming a standard deviation of 4.8 prescriptions, what is the minimum number of clients
he must sample?
3. Out of 58 randomly selected patients of a local hospital who were surveyed, 51 reported that they were satisfied with the care they received. Construct and interpret a 95% confidence interval for the percentage of all patients satisfied with their care at the hospital.