Amanufacturing process is designed to produce ball bearings with a diameter of 0.620 cm. the standard deviation of all ball bearing diameters is 0.009 cm. every day a random sample of 40 ball bearings is selected and their diameters are measured. if the mean diameter from this sample falls outside of a given range, then the management will stop production to make adjustments. for the range 0.619 cm to 0.621 cm, find the probability that the management will stop production unnecessarily. (hint: find the probability that a sample’s mean will have a value inside this range when the population mean actually is 0.620 cm, and then use complements to find the probability that a sample mean’s value is outside that range.)

Atemperature of 1.64◦f corresponds to answer in units of ◦c.

50 points~ ! i have to turn this in tomarrow

Describe how the presence of possible outliers might be identified on the following. (a) histograms gap between the first bar and the rest of bars or between the last bar and the rest of bars large group of bars to the left or right of a gap higher center bar than surrounding bars gap around the center of the histogram higher far left or right bar than surrounding bars (b) dotplots large gap around the center of the data large gap between data on the far left side or the far right side and the rest of the data large groups of data to the left or right of a gap large group of data in the center of the dotplot large group of data on the left or right of the dotplot (c) stem-and-leaf displays several empty stems in the center of the stem-and-leaf display large group of data in stems on one of the far sides of the stem-and-leaf display large group of data near a gap several empty stems after stem including the lowest values or before stem including the highest values large group of data in the center stems (d) box-and-whisker plots data within the fences placed at q1 â’ 1.5(iqr) and at q3 + 1.5(iqr) data beyond the fences placed at q1 â’ 2(iqr) and at q3 + 2(iqr) data within the fences placed at q1 â’ 2(iqr) and at q3 + 2(iqr) data beyond the fences placed at q1 â’ 1.5(iqr) and at q3 + 1.5(iqr) data beyond the fences placed at q1 â’ 1(iqr) and at q3 + 1(iqr)