2. Use the following methods to test Hoμ₁ = μ2 versus H₁ µ₁ µ₂ for the data in worksheet 9.2 of the Excel data file: a. Tukey's Quick Test b. A boxplot slippage test c. The two-sample t test d. The Mann-Whitney test
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- Concrete blocks to be used in a certain application are supposed to have a mean compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The compressive strengths of the last 40 samples are given in the following table. Sample Strength 1487 1463 3 1499 1502 1473 1520 1520 1495 1503 10 1499 11 1497 12 1516 13 1489 14 1545 15 1498 16 1503 17 1522 18 1502 1499 1484 19 20 21 1507 22 1474 23 1515 1533 1487 1518 24 25 26 27 1526 28 1469 29 1472 30 1512 1483 1505 31 32 33 1507 34 1505 1517 1504 35 36 37 1515 38 1467 39 1491 40 1488 Previous results suggest that a value of o = 15 is reasonable for this process. a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct a CUSUM chart. b. Is the process mean in control? If not, when is it first detected to be out of control?An automatic lathe produces rollers for roller bearings, and statistical process control charts are used to monitor the process. The central line of the chart for the sample means is set at 8.50 and for the range at 0.31 mm. The process is in control, as established by samples of size 5. The upper and lower specifications for the diameter of the rollers are 18.50 + 0.252 and 18.50 - 0.252 mm, respectively. a. Calculate the control limits for the mean and range charts. b. If the standard deviation of the process distribution is estimated to be 0.13 mm, is the process capable of meeting specifications? Assume four-sigma performance is desired. c. If the process is not capable, what percent of the output will fall outside the specification limits? (Hint: Use the normal distribution.)The strength of concrete depends, to some extent, on the method used for drying. Two different drying methods showed the following results for independently tested specimens (measurements in psi): Do the methods appear to produce concrete with different mean strengths? Use � = 0.05 .
- obile LTE 5:33 PM O 90% 5 of 18 dent.cesmas cemlactivityoulderstudent60ge7adfo826tcocteddocseeariex- Linvi rernur El atiny slat. 6 Fmekynent Caa A Ingin Essi Ensi at on. b Sel-n ti- hinig aln sson 10: Estimating Proportions from Samples 8o 14 Next. Pass or Fail The other groug estimated a proportion of arourd 0.7 of the sips markod pass. Shoula he other grouo be mcre or less confident that thar astimate is cicsa to tre actua pocuiation proportion tran we shculd be aouut our estimate? Explan your reasonirg." 0.2 04 0.6 08 proportion of slips marked Pass How would the value for the standard doviut oY of tre sample proportions affect your conticence in the answer? Share witn ClassMrs. Paul wants to test that claim that, on average, her students average mark is 85. She pulls therecords of 100 of per past students over a three-year period. The grades inputted into MINITABfor analysis. Exhibit 1 below shows the results of an analysis carried out on the data obtained. Exhibit 1 One-Sample Z: Level I/IITest of mu = 85 vs mu not = 85The assumed sigma = 15.0 Variable N Mean StDev SEMean Z PStudents Score 100 75.4 12.99 * ** *** i. Calculate the SEMean ii. Construct a 98% confidence interval for the population scores of Mrs. Paul’s students.iii. State the null and alternate hypothesis for this test. iv. Calculate the missing value ** and use tables to approximate the value of ***.v. Using a 1% level of significance, state the decision criteria for this test…Consider the following research topic: The goal is to determine if there is a statistically significant increase in the average weight gain of anorexic patients for a new treatment (μN) when compared to a standard treatment (μS). Interpret a Type I error in terms of the problem. Select A, B, C, or D. A. We concluded there was a significant increase in average weight gain from the new treatment compared to the old, when in reality there was not. B. We concluded there was not a significant increase in average weight gain from the new treatment compared to the old, when in reality there was. C. We concluded there was a not significant increase in average weight gain from the new treatment compared to the old, when in reality there was not. D. We concluded there was a significant increase in average weight gain from the new treatment compared to the old, when in reality there was.
- fo. A Radon level of more than 4 pCL is considered unsafe for humans. A house-inspector tests following null and alternative hypothesis. H:us40 H:p>40 . Describe the type I and Type 2 errors in this experiment. Type I error: Type II Error: Page S of 5Please show me your solutions and interpretations. Show the completehypothesis-testing procedure.A manufacturing company produces bearings. One line of bearings is specified to be 1.64 centimeters (cm) in diameter. A major customer requires that the variance of the bearings be no more than 0.001 cm2. The producer is required to test the bearings before they are shipped, and so the diameters of 16 bearings are measured with a precise instrument, resulting in the following values:1.69 1.62 1.63 1.70 1.66 1.63 1.65 1.71 1.64 1.69 1.57 1.64 1.59 1.66 1.63 1.65Assume bearing diameters are normally distributed. Use the data and α = 0.025 to test the data to determine whether the population of these bearings is to be rejected because of too high variance.Consider the following computer output: Test of mu = 91 vs > 91 Variable N Mean StDev SE Mean x 20 92.379 0.717 0.16 What is the value of tcrit for a significance level of 0.01? Please report your answer in 3 decimal places.
- An experiment was conducted to determine the effect of machining factors on ceramicstrength. Two levels of table speed (slow and fast), two directions (longitudinal and transverse) and two levelsof wheel grit (I and II) were identified by the researcher. The experiment was replicated three times and thestrength of each randomly selected ceramic was obtained. The ANOVA table of the results of the analysis areas follows. 1. Refer to the ANOVA table at a=0.01, what is the conclusion for testing significance in 3-way interaction Reject/Fail to Reject Ho 2. If sequential test of hypothesis is performed the following are (True or False)? a. All 2-way interaction effects are going to be tested b. All main effects are going to be tested 3. What combination of effects will result to a significant result at a=0.01 if should all test are going to be performed among the main effects and two way interactions? (choose 1pair/combination: direction, wheel grit, speed)If Elliot collects data from a single sample and her dependent variable is assessed on a nominal scale, which of these difference tests would Elliot need to use to analyze her data? a. single sample t test b. between-subjects, one-way ANOVA. c. chi square goodness of fit test d. single-sample z testLead is a poisonous substance, one that poisons water and could cost several lives. The measurement of lead using traditional laboratory methods has been expensive. Researchers have developed a new laboratory method to measure the level of Lead in water samples. The concentration of lead in water is measured by 49 Two-Sample T-Test and CI Sample 1 SE Mean N Mean StDev 3 19.70 1.10 0.64 10.90 Estimate for difference: 8.800 2 3 0.60 0.35 95% CI for difference: (6.498, 11.102) T-Test of difference = 0 (vs not =): T-Value = 12.16 P-Value = 0.001 DF = 3 Can we conclude that the difference in lead concentration using the two methods is different? Interpret using the confidence interval. Assume a = 0.05.