The average life expectancy of tires produced by the Dunlop Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of their tires has increased. In order to test the validity of their belief, the correct set of hypotheses is O a. Ho: H > 40,000 H3:H S 40,000 O b. Ho: H 2 40,000 Ha:H < 40,000 Oc. Ho: H S 40,000 Ha:H > 40,000 O d. Ho:H < 40,000 H3:H 2 40,000
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- A Bitter Dispute With the publication of Ars Magna, a dispute intensified between Jerome Cardan and another mathematician named Niceolo Fontana, otherwise known as Tartaglia. What was the dispute, and how did it arise? In your opinion, who was at fault? Write a paragraph or two about your findings.The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H 0: μ ≥ 40,000 H a: μ < 40,000 b. H 0: μ ≤ 40,000 H a: μ > 40,000 c. H 0: μ < 40,000 H a: μ ≥ 40,000 d. H 0: μ > 40,000 H a: μ ≤ 40,000The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 6 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. H0: ▼ pp sigmaσ muμ ▼ greater than> not equals≠ equals= less than< 6 H1: ▼ sigmaσ muμ pp ▼ equals= not equals≠ less than< greater than>
- An economist has collected data on the number of house foreclosures. The published share of housing units with a foreclosure filing is 0.47%. The economist believes, based on the data she collected, that the share of housing units with a foreclosure filing is different from 0.47%. What are the null and alternative hypotheses? Select the correct answer below: H0: μ≠0.47%; Ha: μ=0.47% H0: μ=0.47%; Ha: μ≥0.47% H0: μ=0.47%; Ha: μ≤0.47% H0: μ=0.47%; Ha: μ≠0.47%The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. UpperH0: ▼ muμ sigmaσ pp ▼ not equals≠ less than< greater than> equals= 3 Upper H1: ▼ muμ sigmaσ pp ▼ not equals≠ equals= less than< greater than> 3 (b) Both engines took exactly 17 minutes to seize. What conclusion might the magazine make based on this evidence? A. The infomercial's claim is true. The Informericial not trueTo determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.
- Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.1. The mean weight of male dancers in a local modern dance company is at most 174 lbs. Express the null and alternative hypotheses in symbolic form for this claim.H0:μH0:μ H1:μH1:μ Use the following codes to enter the following symbols: ≥≥ enter >= ≤≤ enter <= ≠≠ enter != 2. Claim: 47% of Internet users pay bills online. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).H0:pH0:p H1:pH1:p Use the following codes to enter the following symbols: ≥≥ enter >= ≤≤ enter <= ≠≠ enter != I DONT HAVE MANY QUESTIONS LEFT PLEASE ANSWERTwo different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing interocular lenses used in the human eye following cataract surgery. Three hundred lenses were tumble polished using the first polishing solution, and ofthis number, 253 had no polishing-induced defects. Another 300 lenses were tumble-polishedusing the second polishing solution, and 196 lenses were satisfactory upon completion.(a) Is there any reason to believe that the two polishing solutions differ? Use α = 0.01
- A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?The manufacturer of Lakas Papaya cleansing soap claimed that their product was effective in making the facial skin blemish-free of at least 93% of users who tested it for a period of 1 week. In a sample of 350 people who had problems with their facial skin, the soap provided blemish-free skin for 295 people. Which of the following represents the alternative hypothesis for this problem? A. Ha: p = 0.93B. Ha: p < 0.93C. Ha: p > 0.93D. H_a: p ≠ 0.93