As part of an investigation into the collapse of the roof of a building, a testing laboratory is given all the available bolts that connected the steel structure at 3 different positions on the roof. The forces required to shear each of these bolts (coded values) are shown in Table Q4. Construct a hypothesis and perform an analysis to test whether the differences among the sample means at the 3 positions are significant at the 0.05 level of significance.
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- I’m assigned the parameter population proportion. In a time of an epidemic, a commonly used vaccine for disease is believed to more than 85% effective. Experimental results with a new vaccine administered to a random sample of 342 adults who were suffering from illness show that 293 adults answer the purpose. What can be concluded about the research claim a) State your conclusion for %8 significance level?Three adhesives are being analysed for their impact on the bonding strength of paper in a pulp and paper mill. The adhesives are each randomly applied to four batches. The data is shown in Table 2. Here, the three treatments are the adhesives (p=3) and the number of replications for each treatment is 4 (r=4). Is there a difference among the adhesives in terms of the mean bonding strength? Test at the 5% significance level. Given F0.05,2,9 = 4.26 Adhesive Bonding strength (kg) type Adhesive 1 10.2 11.8 Adhesive 2 12.8 14.7 Adhesive 3 7.2 9.8 Table 2 Bonding strength data 9.6 13.3 8.7 12.4 15.4 9.2The spike stature of the plants grown from the seeds of the porcine separates (Dactylis glomerata L) collected from the University campus and İbradı Eynif pasture are given below. In this plant, compare whether there is a difference between regions in terms of spike height. Virgo Height (cm) Data obtained from plants collected from university campus 5 6 8 7 8 6 5 5 4 6 6 Data obtained from plants collected from Eynif pasture 12 9 11 9 9 11 9 10 11 10 Note: Your results interpretation according to two different possibilities (Do it separately, assuming that it is 0.07 and 0.04).
- 3. A producer claims that his potato chips weight is more than 150 grams. The weight of the bag has a normal distribution. Because of the complaints of the customers, quality control department select randomly 25 bags and find the mean as 146 grams and variance 9 grams. Test the manufacturer claim at 10 6 level of significance. Find the correct answer for the hypothesis and find the correct answer for critical value à) 6.67 b) Ho: u 150 H:4 150 H : 4 150 Hạ: u= 150 H:u 150 h) -2.22Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 49% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 17 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the = 0.05 level of significance? Complete parts (a) through (g). (e) Suppose the course is taught with 51 students and 36 complete the course with a letter grade of A, B, or C. Verify whether the normal model may now be used to estimate the P-value. Because npo (1 - Po) = 12.7 > 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the normal model may be used to approximate the P-value. (Round to one decimal place as needed.) (f) Use the normal model to obtain and interpret the P-value. State your conclusion to the hypothesis test.…Researchers collected data on the numbers of hospital admissions resulting from motor vehicle crashes, and results are given below for Fridays on the 6th of a month and Fridays on the following 13th of the same month. Use a 0.05 significance level to test the claim that when the 13th day of a month falls on a Friday, the numbers of hospital admissions from motor vehicle crashes are not affected. Friday the 6th: Friday the 13th: 10 10 13 11 13 69 11
- A study on the impact of a 35 mi/hr car crash on the head was conducted on 20 cars classified into 4 groups based on their size. The results of the study are reported below with the data in units of standard head injury condition (hic). Use the Kruskal-Wallis test with a 0.05 level of significance to test the hypothesis that the size of the car has an influence on the amount of head injury. State the null and alternative hypothesis Calculate the test statistic The critical value, your decision and conclusion. Subcompact 681 428 917 898 420 Compact 643 655 442 514 525 Midsize 469 727 525 454 259 Full-size 384 656 602 687 360Evans conducted a study to determine if the frequency and characteristics of pediatric problems in elderly patients with diabetes present differences with respect to patients of the same age, but without diabetes. The individuals studied, interned in a clinic, were between 70 and 90 years old. Among the researchers' findings are the following statistics. with respect to the scores on the deep tendon reflexes meters:Sample without Diabetes: 79 / 2.1 / 1.1With Diabetes: 74 / 1.6 / 1.2Is it possible to conclude, based on the data, that, on average, diabetic patients they have reduced deep tendon reflexes in comparison with patients without diabetes of the same age?Four different formulations of an industrial glue are being tested. Each of the different formulations were randomly applied to joint parts of five test specimen and the tensile strength of the glue when it is applied to each test specimen is recorded. However, the tensile strength is also related to the application thickness. The data on the strength (in lbs) and thickness (in 0.01 inches) are shown in the following table. Identify the treatment (specify levels), experimental units, concomitant variable, and response variable.
- 5) In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The data appears below. a) Use JMP to fit a two-way ANOVA to the data. Using a = 0.05 draw conclusions for the ANOVA. Make sure you state your conclusion in the context of the problem. b) Does there appear to be a need to include the vehicle type / crash angle interaction term? c) Use JMP to fit a two-way ANOVA with interaction to the data. Auto Angle Damage Goliath Head-On 700 Goliath Head-On 1400 Goliath Head-On 850 Goliath Slant 1430 Goliath Slant 1740 Goliath Slant 1240 Goliath Rear end 700 Goliath Rear end 1250 Goliath Rear end 970 Varmint Head-On 1700 Varmint Head-On 1650 Varmint Head-On 1630 Varmint Slant 1850 Varmint Slant 1700 Varmint Slant 1650 Varmint Rear end 860 Varmint Rear end 1550 Varmint Rear end 1250 Weasel…The specifications for a certain kind of ribbon call for a mean breaking strength of 185 pounds. If five pieces randomly selected from different rolls have breaking strengths of 171.6, 191.8, 178.3, 184.9, and 189.1 pounds, test the null hypothesis µ = 185 pounds against the alternative hypothesis u not-185 pounds at the 0.1 level of significance.Rhino viruses typically cause common colds. In a test of the effoctivoness of echinecea, 32 of the 39 subjects treated with echinacea developed ithinavirus infections In a placebo group, 90 of the 107 subjects developed thinovirus infections Use a 0.05 significance level to test the clam that echinacea has an effect on thinovinus infections Complete parts (a) through (c) below COO a. Test the claim using a hypothesis test Consider the first sample to be the sample of subjects treated with echinacea and the second samplo to be the sample of subjects troated with a placebo What are the null and alternative hypotheses for the hypothesis test? OA Ho P P2 H P P2 OB. Ho P P2 H P, P2 H, P Pa VE Ho Pr"P2 Hy P,P OF M PPa H, P P |OD. Ho P1 P2 H, P P2 Identify the test statistic (Round to two decimal places as noeded)