Suppose thirty-four communities have an average of 141.6 reported cases of larceny per year. Assume that o is known to be 36.4 cases per year. Find a 75%, 80%, and 95% confidence interval for the population mean annual number of reported larceny cases in such communities. a) Compute the margins of error for each confidence intervals. Round your answers to one decimal place. b) As the confidence level increase, do the margins of error increase?

You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 437 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 437 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become percent will not contain the true population proportion. butterflies and about se Submit Question IN ch ins prt sc delete f6 te 144 పాలంంక్ & 7 $4 00 %24

If n=28, ¯x(x-bar)=32, and s=11, construct a confidence interval at a 95% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place.

You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 381 randomly selected caterpillars observed, 42 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 381 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.