Suppose the manager of a large furniture store wants to estimate the amount spent by customers during the holiday season. She took a random sample of customers and recorded the amount they spent. A histogram of the data shows that the data is strongly left-skewed. The figures below show the confidence intervals for the mean amount spent using (A) raw (untransformed) data, and (B) log-transformed data, which showed a more normally distributed data set. Use this information to answer the question.
Calculate the width of both intervals (note that you will need to convert the log-transformed interval back into dollars). Which interval is narrower?
◦ Width of interval for untransformed data: 144.2; width of interval for transformed data: 152.5. The width of the interval for the untransformed data is narrower.
◦ Cannot be determined with the given information
◦ Width of interval for untransformed data: 144.2; width of interval for transformed data: 129.8. The width of the interval for the log transformed data is narrower.
◦ Width of interval for untransformed data: 72.1; width of interval for transformed data: 273. The width of the interval for the log transformed data is narrower.
Photograph of a brain specimen with a large malignant tumor.
Large intestine.
Polyps and polyposis. A polyp is a protruding growth from a mucous membrane lining a hollow organ. I
Paul Cézanne, The Large Bathers.
Venn diagram representation of 17,067 medium and large clusters of protein
Main mechanism of carbon dioxide transport and exchange. A lesser amount of CO2 travels to the lungs