In a laboratory, there are two types of tests done for a concrete cubes: compression strengthtest and water absorption test .25% failed in compression test. 40% passed in waterabsorption test and 15% failed in both. Find:1) Probability that a random sample selected is bad in compression test and good inabsorption test.2) Probability that a random sample selected is bad in absorption test and good incompression test.3) The probability that a random sample selected is good in both test.4) The probability that a random sample selected at least one of them is bad.

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Answered: In a laboratory, there are two types of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A study was conducted at the local skate park to determine how caffeine affected the performance of skateboarders during competitions. 100 skateboarders were selected from an upcoming competition roster. The researchers chose a random entry then proceeded to select every 4th entry until the desired sample size was reached.On the day of the competition, the sample was split (at random) into two groups. Each member of Group "A" was given a cup of decaf coffee while each member of Group "B" was given a cup of coffee containing 100mg of caffeine. (The skateboarders did not know which type of coffee they received.) As the competition progressed, the scores for each skateboarder were tracked.
A manufacturer of widgets wants to test a new widget-producing machine to determine if it can make an average of 25 widgets per second before deciding to invest in the machine. The standard to reject the new machine is if it makes an average of less than 25 widgets per second. Here are data from a small random sample:25.6, 26.2, 22.5, 20.5, 26.4, 27.4, 23.6, 26.9, 25.7, 24.9Assuming the population follows a normal distribution, is there evidence that the new machine should be rejected at the 0.01 significance level? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
College Board, the company that runs AP testing, wants to expand access to AP courses. Some schools require that students takethe AP exam at the end of the course while others leave the AP exam as optional. A random sample of 200 students from schoolswhere AP exams are required had 84 students currently enrolled in at least one AP course. Another random sample of 190students from schools where the AP exam is optional had 98 students currently enrolled in at least one AP course.(a) College Board want to test the claim that requiring the AP exam lowers the proportion of students who enroll in at least oneAP course. Carry out a test of this claim at the 5% level of significance. (b) Based on your decision in part (a), what error may have been made, a Type I or Type II error? Give a consequence of thaterror. (c) Interpret the p-value from part (a) in the context of this question.
An educator believes that the proportion of finance majors seeking to earn an MBA degree equals the proportion of management majors seeking to earn an MBA degree in the population. A random sample of 100 finance majors is taken and 24 indicate that they will seek to earn an MBA degree. Likewise, a random sample of 400 management majors is taken and 65 indicate that they will seek to earn an MBA degree. Using this information, test the educator’s claim at the 0.05 level
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Nine balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club was randomized to the pro did not know which type of ball was being hit. All 36 balls were hit (assuming the environmental conditions played no role). The resulting distances in yards were recorded and are shown in the following table: Design 1 Design 2 Design 3 Design 4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 Write a set of hypotheses to test the mean…
Female undergraduates in randomized groups of 15 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x1, x2, and x3 be random variables representing the measure of self-esteem through x1 (competence), x2 (social acceptance), and x3 (attractiveness). Higher index values mean a more positive influence on self- esteem. Variable Sample Mean Standard Deviation Population Size Мean 15 19.48 2.92 X1 X2 X3 (a) Find a 90% confidence interval for u1 - 42. (Round your answers to two decimal places.) lower limit 15 19.90 3.98 H2 15 17.42 3.60 upper limit (b) Find a 90% confidence interval for u1 - 43. (Round your answers to two decimal places.) lower limit upper limit (c) Find a 90% confidence interval for u2 - 13. (Round your answers to two decimal places.) lower limit upper limit
is described below. NOTE: If the method is experimental, indicate if it is a true experiment or quasi experiment. 1. I get 30 people and use random assignment to divide the people into two groups. One group reads an article about the statistics of injuries and deaths caused by people using smart phones while driving, the other group watches a short video about a person who killed someone while using their smart phone. Both groups are then monitored to see if either of these made a difference in how often these people use their smart phones use while behind the wheel. What method would that study be? 2. What method asks a series of questions that are all planned in advance?
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