The following x bar and s charts based on n = 4 have shown statistical control: x bar chart UCL=710, x bar chart CM=700, x bar chart LCL=690. S chart UCL=18.08, S chart CL=7.979, S chart LCL= 0. The lower natural tolerance limit (LNTL) is: O A. 672.07 O B. 674.02 OC 675.07 O D. 647.02
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- Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector measures 10 spacers and records the following thicknesses: 0.372" 0.376" 0.379" 0.375" 0.370" 0.373" 0.377" 0.378" 0.371" 0.380" Which spacers are defective (above the maximum limit or below the minimum limit)? All dimensions are in inches.To assess the air quality in a surgical suite, the presence of colony-forming spores per cubic meter of air is measured on three successive days. The results are as follows: {12, 24, 30}. Calculate the mean and standard deviation for these data.See the attached image for the introduction. Using your previous answer to part (b) above, give two-sided 95% confidence limits for the difference in mean percentage waste for supplier 3 and 4: µ3 − µ4. (Plug in completely, but you need not simplify.)
- (note: use mu for mean or average , p for proportion, >= for , <= for , =/ for ) State the null and alternative hypotheses to be used in testing the following claims and determine generally where the critical region is located: (a) The mean snowfall at Lake George during the month of February is 21.8 centimeters. Ho: Blank 1 H1: Blank 2 (b) No more than 20% of the faculty at the local university contributed to the annual giving fund. Ho: Blank 3 H1: Blank 4 (c) At least 70% of next year's new cars will be in the compact and subcompact category. Ho: Blank 5 H1: Blank 6 (d) The average rib-eye steak at the Longhorn Steak house is at least 340 grams. Ho: Blank 7 H1: Blank 8Given the same R software output below, is there sufficient evidence to say that the mean diameter of Penicillium roqueforti colonies grown on petri dishes filled with malt extract agar is not equal to 40.0 mm, at 5% level of significance?To determine if their 0.33 centimeter bolts are properly adjusted, Harper Manufacturing has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Average value 0.370 Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Step 2 of 7: What is the Upper Control Limit? Round your answer to three decimal places. Step 3 of 7: What is the Lower Control Limit? Round your answer to three decimal places. Step 4 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".Observations: 0.38,0.31,0.36,0.31,0.36,0.370.38,0.31,0.36,0.31,0.36,0.37Sample Mean: 0.34830.3483 Step 5 of 7: Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".Observations:…
- The control limits for a 3-sigma c chart with n=2 when the process average is equal to 8 nonconformities for one inspection unit are Select one: a. LCL=0 UCL=16.5 b. LCL=-0.5 UCL=16.5 c. LCL=4 UCL=28 d. LCL=0 UCL=28 e. LCL=-4 UCL=28(a)(c) For each of the accompanying scenarios, figure the estimated effect size (and whether it is approximately small, medium, or large by Cohen's conventions, using midpoints between conventions as thresholds separating small and large from medium). In each case, assume differences are calculated by subtracting values for Sample 2 from values for Sample 1.(d) Explain your answer for scenario (a) to a person who understands the t test for independent means but is unfamiliar with effect size.The accounting department at Weston Materials, Inc., a national manufacturter of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviatuon of 2 hours to build the Red Barn model. Assume the aseembly times follow the normal distribution. m=32 o=2 a) What percent of the garages take 35 or more hours to build
- The better-selling candies are often high in calories. Assume that the following data show the calorie content from samples of M&M’s, Kit Kat, and Milky Way II. Test for significant differences among the calorie content of these three candies. At a .05 level of significance, what is the p-valueUse the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 6000ft. The Federal Aviation Administration requires an error of no more than 40 ft at that altitude. Is the process variation within statistical control? Why or why not?The following BTU measurements are taken relative to some chemical process: 1244, 1198, 1212, 1235, 1245, 1190, 1202, 1220, 1233, 1208. A problem with the process is indicated if the mean BTU measurement varies too greatly from 1230. Given the aforementioned data, the hypotheses H0: µ = 1230 and H1: µ ≠ 1230, and α = 0.05, do the data indicate a problem with the chemical process? a. As |-1.72| < 1.833, the data do not indicate a problem with the chemical process. b. As |-1.72| < 2.262, the data do not indicate a problem with the chemical process. c. As |-1.72| < 1.833, the data indicate a problem with the chemical process. d. As |-1.72| < 2.262, the data indicate a problem with the chemical process. e. As |-1.81| < 1.833, the data do not indicate a problem with the chemical process. f. As |-1.81| < 2.262, the data do not indicate a problem with the chemical process. g. As |-1.81| < 2.262, the data indicate a…