Test the hypothesis ₁ = ₂ = ₂ = M₁ = μs at 0.05 level of significance for the data of Table 13.1 on absorption of moisture by various types of cement aggregates. Absorption of Moisture in Concrete Aggregates Aggregate 1 3 4 5 551 563 457 631 522 613 656 679 Total Mean 450 731 499 632 3320 553.33 2 595 580 508 639 615 511 417 449 517 583 438 633 415 517 677 555 3416 569.33 573 648 3663 2791 3664 610.50 465.17 610.67 16854 561.80
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- Observations on burst strength (lb/in2) were obtainedboth for test nozzle closure welds and for productioncannister nozzle welds (“Proper Procedures Are theKey to Welding Radioactive Waste Cannisters,”Welding J., Aug. 1997: 61–67).Test 7200 6100 7300 7300 8000 74007300 7300 8000 6700 8300Cannister 5250 5625 5900 5900 5700 60505800 6000 5875 6100 5850 6600Construct a comparative boxplot and comment on interestingfeatures (the cited article did not include such a picture, but the authors commented that they had lookedat one).The article “Effect of Internal Gas Pressure on the Com- pression Strength of Beverage Cans and Plastic Bottles” (J. of Testing and Evaluation, 1993: 129–131) includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. What assumptions are necessary for your analysis? ( use ? = 0.01 )Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from Pennsylvania residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et. al., Science of the Total Environment).
- Sony would like to test the hypothesis that the average age of a PlayStation user (mu 1) is greater than the average age of an Xbox user (mu 2). A random sample of 36 PlayStation users had an average age of 34.2 years while a random sample of 30 Xbox users had an average age of 32.7 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set alpha = 0.01. The critical value is ________ and the null hypothesis should _______. Select one: a. -2.33; be rejected. b. 2.33; not be rejected. c. 1.96; be rejected. d. 1.645; not be rejected.An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were x1. = 462.0, x2. = 512.8, x3. = 427.5, x4. = 469.3, and x5. = 532.1. The computed value of F was found to be significant at level ? = 0.05. With MSE = 300.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.)The Board of Transportation and Safety (BTS) wants to examine the safety mechanisms of A, B, and C-class cars. Samples of 10 cars for each class were used. The board members collect the pressure exerted overall on the driver’s body during an impact test. Assume alpha of 0.05. What is dfbetween = ? What is dfwithin = ? What is the critical test statistic: ? A B C 27 21 48 13 23 39 11 10 22 15 27 30 34 34 31 n(A) = 5 n(B) = 5 n(B) = 5 T(A)=100 T(B)=115 T(C)=170 SS(A)=86 SS(B)=135 SS(C)=151 What is the MSbetween=? What is the MSwithin=? What is the calculated test statistic? Given the values of your critical test statistic and calculated test statistic, do you reject the null?
- In single-sample, upper-tail test hypothesis test, if the researcher changes the alpha level from .05 to .10 then which statement is most true? a) a. the consequences of committing an alpha error are likely severe, all else held constant in the experiment b) b. the RR will comprise a larger area under the curve as a result, all else held constant c) c. the RR will comprise a smaller area under the curve as a result, all else held constant d) d. this image would accurately depict this changeSuppose that samples of polythene bags from two manufacturers A and B are tested by a prospective buyer for bursting pressure, with the following results: If the prices are the same, which manufacture’s bags would be preferred by the buyer? Why?Calculate the average values of the Cp and Cpk capabil-ity indices for the BOD data , assuming that LSL=5 mg/L and USL=35 mg/L. Do these val-ues of the indices indicate that the process performance is satisfactory?
- In experiments to determine the effectiveness of drugs such as anti-fungal ointments that are applied to the skin, the concentration of the drug in a patient’s skin must be measured. The article “Determining Bioequivalence of Topical Dermatological Drug Products by Tape- Stripping” (W. Navidi, A. Hutchinson, et al., Journal of Pharmacokinetics and Pharmacodynamics, 2008:213–220) describes an improved method of measuring that is designed to ensure that all the drug in the skin is recovered. Assume that in an experiment using the old method, the mean amount of drug recovered from a sample of 49 patients was 105 ng with a standard deviation of 20 ng, and that in an experiment using the new method the mean amount of drug recovered in a sample of 35 patients was 117 ng with a standard deviation of 15 ng. Find a 98% confidence interval for the difference in the mean amounts recovered between the two methods.Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. 7,255 6,875 9,637 6,863 9,098 5,846 8,954 7,979 7,068 7,498 7,882 8,179 7,528 8,728 7,469 Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a significance level of 0.10. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= P-value= State your conclusion. Reject H0. We have convincing evidence that the mean rate of…A research center claims that at least 2626% of adults in a certain country think that their taxes will be audited. In a random sample of 900900 adults in that country in a recent year, 2323% say they are concerned that their taxes will be audited. At alphaαequals=0.100.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Identify the critical values