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- The manufacturer of large liquid crystal display (LCD) is difficult. Some defectsare minor and can be removed; others are unremovable. The number of unremovabledefects for each of n = 45 displays1 0 5 3 0 7 6 0 0 4 6 85 0 9 1 0 8 6 0 3 2 0 00 6 0 10 0 6 0 0 1 0 0 00 1 5 1 0 5 0 0 2has mean ̅ x= 2.667 and s = 3.057 unremovable defects. Conduct a test of hypothesis withthe intent of showing that the mean number of unremovable defects is less than 3.6. Take α= 0.025.AUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.Two separate samples are selected from the same population. Each have an n=8.Both samples receive a different treatment. After the treatment, the first sample hasSS=16 and the second sample has SS=24. With a two-tail α=0.05, identify the critical regions.
- In the production of synthetic motor lubricant from coal, a new catalyst has been discovered that seems to affect the viscosity index of the lubricant. In an experiment consisting of 23 production runs, 11 used the new catalyst and 12 did not. After each production run, the viscosity index of the lubricant was determined to be as follows. With catalyst 4.0 4.4 2.6 1.2 3.9 4.2 2.8 3.2 4.1 2.1 1.6 Without catalyst 3.3 2.3 3.7 3.0 4.3 2.7 4.5 1.5 3.6 2.5 2.2 3.4 The two samples are independent. Use a 0.01 level of significance to test the null hypothesis that the viscosity index is unchanged by the catalyst against the alternate hypothesis that the viscosity index has changed. 1.) Find the sample test statistic. (Use 2 decimal places.)2.) For the sign test, rank-sum test, and Spearman correlation coefficient test, find the P-value of the sample test statistic. For the runs test of randomness, find the critical values from Table 10 of Appendix II. (Use 4 decimal places.)Are you an impulse shopper? A survey of 1000 grocery shoppers indicated that 24% of males and 57%of females make an impulse purchase every time they shop. Assume that the survey consisted of 500 males and 500 females. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.01 level of significance, is there evidence of a difference in the proportion of males and females who make an impulse purchase every time they shop? Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below. A. H0:π1≥π2 H1:π1<π2 BH0:π1≠π2 H1:π1=π2 C.H0:π1≤π2 H1:π1>π2 D.H0:π1=π2 H1:π1≠π2 E.H0:π1<π2 H1:π1≥π2 F.H0:π1>π2 H1:π1≤π2 Part 2 Calculate the test statistic. χ2STAT= (Round to three decimal places as needed.) Part 3 Determine the critical value. The critical value is - (Round to three decimal places as needed.) Part 4 State…Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?
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- Sampling 4 pieces of precision-cut wire (to be used in computer assembly) every hour for the past 24 hours has produced the following results: Hour x R Hour x R Hour x R Hour x R 1 3.25" 0.76" 7 3.05" 0.48" 13 3.21" 0.85" 19 3.31" 1.56" 2 3.20 1.23 8 2.65 1.08 14 2.83 1.36 20 2.99 1.09 3 3.12 1.48 9 3.02 0.66 15 3.22 1.01 21 2.75 1.08 4 3.39 1.31 10 2.85 1.28 16 2.74 0.45 22 3.18 0.46 5 3.07 1.22 11 2.73 1.17 17 2.96 1.48 23 2.84 1.53 6 2.96 0.37 12 2.87 0.45 18 2.64 1.34 24 2.74 0.92 Based on the sampling done, the control limits for 3-sigma x chart are (round all intermediate calculations to three decimal places…52. (Based on Balson et al. [1992].) An electric utilitycompany is trying to decide whether to replace its PCBtransformer in a generating station with a new and safertransformer. To evaluate this decision, the utility needsinformation about the likelihood of an incident, such as afire, the cost of such an incident, and the cost of replacingthe unit. Suppose that the total cost of replacement as apresent value is $150,000. If the transformer is replaced,there is virtually no chance of a fire. However, if thecurrent transformer is retained, the probability of a fireis assessed to be 0.005. If a fire occurs, the cleanupcost could be high ($100 million) or low ($30 million). The probability of a high cleanup cost, given that a fireoccurs, is assessed at 0.3.a. If the company uses EMV as its decision criterion,should it replace the transformer?b. Perform a sensitivity analysis on the key parametersof the problem that are difficult to assess, namely,the probability of a fire, the probability…A research center claims that at least 27% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year, 24% say they are concerned that their taxes will be audited. At α=0.01, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. (a) Find the critical value(s) and identify the rejection region(s). Z0=_________ (b) Identify the critical value(s) for this test ________ A.) The rejection regions are z < ___and z > ____ B.) The rejection region is z > _______ C.) The rejection region is _____< z < _____ D.) The rejection region is z < _____ (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.