Q8) A manufacturer produces machine parts, and the diameter of the parts is monitored using an X-bar and R chart. The specification limits for the diameter are 55 and 45. A total of 20 samples, each consisting of 3 parts, were measured. The data for the sample averages (X-bar) and ranges (R) for the 20 samples are given below: Sample No. X-bar (mm) R (mm) 1 52 4 2 51 3 3 49 2 4 48 4 15 53 5 16 50 3 7 52 3 18 47 4 19 51 3 10 52 14 11 49 2 12 48 3 13 51 3 14 50 4 15 52 3 16 49 17 50 4 18 50 14 19 48 3 20 50 a) Calculate the overall average X-bar and average range (R bar)? (1 mark) b) Determine the trial control limits for the X-bar and R chart? (1 mark) c) Is the process out of control? Determine the mean and standard deviation of the above process? (1 mark) d) Assuming the diameter to be normally distributed, what proportion of product will not meet the specifications? (2 marks) e) Assume that the process mean shifts to 52 mm. Calculate the process fallout considering this mean shift? (2 marks)

Given the data set : 7,19,8,1,30,43,14,6,40 Identify the flowing values that would be used when creating the box plot Highest: Upper quartile: Median : Lower quartile: Lowest

Answer C

Fahrenheit is the measurement of temperature commonly used in the US. On the Fahrenheit scale, water freezes at 32 F and boils at 212 F (at sea level). What is the data type and measurement scale of a dataset that records Fahrenheit temperature?   a.  Numerical and ratio b. Numerical and interva c. Categorical and ratio d. Categorical and ordinal

Determine which of the four levels of measurement ( norminal, ordinal, interval, ratio) is most appropriate for the data below. Years in which U.S. presidents were inaugurated

The densities of several common metals are shown in the following table. Metal Density (g/cm³) iron 7.87 silver 10.49 lead 11.36 zinc 7.13 aluminum 2.70 For her chemistry lab, Kamila needs to identify three metal samples by density. The data she collected is shown in the following table. The metal samples are all rectangular prisms.

If we measure the variable "race" using the five primary categories used by the U.S. Census (White, Black/African American, American Indian/Alaska Native, Asian, and Native Hawaiian/Other Pacific Islander), then the level of measurement in this case is:   Select one: 1.Interval/Ratio 2. Ordinal 3. Nominal