Construct a dot diagram for the nine measurements of the furnace temperatures recorded on successive batches in a semiconductor manufacturing process (units are in Cº): 411, 413, 409, 415, 410, 409, 414, 412, 413.3

A router is used to cut locating notches on a printed circuit board. The vibration level at the surface of the board as it is cut is considered to be a major source of dimensional variation in the notches. Two factors are thought to influence vibration: bit size (A) and cutting speed (B). Two bit sizes (1/16 and 1/8 inch) and two speeds (40 and 90 rpm) are selected, and four boards are cut at each set of conditions shown below. The response variable is vibration measured as a resultant vector of three accelerometers (x, y, and z) on each test circuit board. (a) Analyze this experiment assuming that each one of the four replicates represent a block. (b)

Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the followinng table: length weight 1616 47.0 48.7 1862 2855 55.7 45.2 1199 1320 44.7 1225 43.8 870 38.5 1455 45.8 1220 44.0 1033 40.4 Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been satisfied and round your…

3. Consider a gas in a piston-cylinder device in which the temperature is held constant. As the volume of the device was changed, the pressure was meas- ured. The volume and pressure values are reported in the following table: Volume, m Pressure, kPa, when I = 300 K 1 2494 2 1247 3 831 4. 623 5 499 416 (a) Usc lincar interpolation to cstimate the pressure when the volume is 3.8 m. (b) Usc cubic spline interpolation to estimate the pressurc when the vol umc is 3.8 m'. (c) Usc lincar interpolation to cstimate the volume if the pressure is meas- urcd to be 1000 kPa. (d) Usc cubic spline interpolation to estimate the volume if the pressure is mcasured to be 1000 kPa.

Consider the highest daily snowfall accumulation in Montréal per winter season, measured at the Montréal Airport from 1964/65 to 2014/15. The measurements in cm are as follows: maxsnow ## [1] 15.2 25.4 32.8 14.5 23.6 37.8 43.2 22.9 20.3 21.1 25.7 24.6 25.9 22.5 32.8 ## (16] 19.6 11.0 18.2 10.8 21.3 22.0 13.6 21.8 21.0 21.2 12.2 20.2 17.2 40.0 27.8 ## [31] 13.2 20.8 21.4 23.6 35.8 33.9 31.0 18.8 15.8 18.8 17.2 41.2 35.2 31.8 23.8 ## [46] 29.8 20.4 16.0 45.6 20.8 20.0 (a) Is this data a realization of a random sample? Provide rationale for your answer (you may list pros and cons if you like). (b) Which population quantities (mean, variance, probabilities of certain events) would you like to use these data to estimate and why? (The answers to these questions are subjective).

ANSWER ALL THE QUESTIONS PLEASE WITH CORRECT LETTER FOR EACH NUMBER

In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 13.38, 15.34, 13.04, and 13.02 respectively What are the lower and upper control limits for the X-bar chart? O a. 157.21, 177.05 O b. 146.01, 157.87 Oc. 159.25, 175.02 O d. None is correct O e. 142.92, 160.66 Of. 143.55, 165.47

The photoresist thickness is one the quality characteristic in integrate circuits. A new process has been developed for applying photoresist to 125-mm silicon wafers used in manufacturing integrated circuits. Twelve wafers were tested, and the following photoresist thickness measurements were observed: 13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, 13.3939, 13.4005 and 13.4002. Assume that thickness is normally distributed. a) Test the hypothesis that mean thickness is 13.4x1000 Å. Use a=0.05 and assume a two-sided alternative.  b) Find a 99% two-sided confidence interval on mean photoresist thickness. c) Find a 95% two-sided confidence interval on standard deviation of photoresist thickness.

In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 4 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? O a. 145.40, 190.72 O b. 143.55, 165.47 144.77, 159.11 O d. 156.55, 170.47 O e. 142.92, 160.96 Of. None is correct US PAGE NEXT PAGE

A sample of 12 random FICO scores are given as follows: [664, 693, 698, 714, 751, 753, 779, 789, 802, 818, 834, 836). TIP: Store these values as a list on your TI 83/84 calculator and find your 5 Number Survey. State the Maximum (Max) value below: