(Solved): A government bureau publishes annual price figures for new mobile homes. A simple random sample o ...

A government bureau publishes annual price figures for new mobile homes. A simple random sample of 36 new mobile homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices is \( \$ 8.1 \) thousand, that is, \( \$ 8,100 \). Use the data to obtain a \( 99.7 \% \) confidence interval for the mean price of all new mobile homes. Click the icon to view a table of prices of new mobile homes. The \( 99.7 \% \) confidence interval is from \( \$ \) to \( \$ \) (Round to the nearest dollar as needed.) A govement bureou publishes senual price tgures for new mobile homes. A simple random sample or 36 new mobilo homes yielded the following prices, in thousands of dollars. Assume that the population standard deviation of all such prices in \( \$ 8.1 \) thousand, that is, \( \$ 8,100 \). Use the data to obtrin a \( 99.7 \% \) conflence interval for the mean price of all new moblite homes. Cick the licen ta view a table of prices of new moble homes. The \( 99.7 \% \) confidence listerval is from! to 1 Round to the nearest odlar as nesdedy A sample moen, sample vize, populabion standard deviation, and confidence level are provided, Uee this information to complete parts (a) through (c) below. \[ x=10, n=23,0=5, \text { confidence level }=90 \% \] Click hem to view pagn 1 of the tandard nomal distretion takic. Clak here to viek page 2 of the standard nermat distribution twolo b. Use the one-mean z-intervil procedure to find a confidance interval for the mean of the population from which the sample was draskn. The confidence interval is from fType integetn or docimais rounded to one decimal plitce as noeded) b. Obtain the margin of eriot by taking hay the length of the confidence interyal. What is the margin of emor oblained by taking haif the length of the confidence inlerval? \[ \mathrm{E}=\frac{\text { confidence intervel length }}{2}= \] (Type an irieger or decimal rounded to one decinul place as reoded.) 6. Otan tho margin of error by usieg the fontala E=z a \( +\frac{0}{\sqrt{n}} \)