An equilateral triangle and an isosceles triangle share a common side. What is the measure of ZABC? B 690 The measure of ZABC i [ (Simplify your answer.)
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- A school Psychologist is interested in the effect of violent television programs on a child's agression depending on if the show is a cartoon or not. Eighty children were recruited and were divided into equal groups. Half of the children watched a violent television program while the other half watched a non- violent program. Half of the children watched a cartoon while the other half watched a show that was not a cartoon. The children were then placed in a small group and the researcher measured the level of agressiveness of each child. A) z- test B) t - test C) test independent samples D) T - TEST RELATED SAMPLES E) ANOVA F) FACTORIAL ANOVA G) repeated measures ANOVA H) pearson correlation i) chi squareWorkers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.The space shuttle is about to go up on another flight.With probability pt(z), it will use z type t fuel cells duringthe flight. The shuttle has room for at most W fuel cells. Ifat any time during the flight, all the type t fuel cells burnout, a cost ct will be incurred. Assuming the goal is tominimize the expected cost due to fuel cell shortages, set upa dynamic programming model that could be used todetermine how to stock the space shuttle with fuel cells.There are T different types of fuel cells.
- In a Right Tailed Hypothesis test, the test statistic was found to be Z=2.74The rejection region included values greater than the critical value Zc=2.02 The conclusion would be to... Reject the null hypothesis because the test statistic is NOT in the rejection region Fail to reject the null hypothesis because the test statistic is in the rejection region Fail to reject the null hypothesis because the test statistic is NOT in the rejection region Reject the null hypothesis because the test statistic is in the rejection region Accept the null hypothesis because the test statistic is NOT in the rejection regionThree components are connected to form a system asshown in the accompanying diagram. Because the componentsin the 2–3 subsystem are connected in parallel, thatsubsystem will function if at least one of the two individualcomponents functions. For the entire system to function,component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition ofeach component [S (success) for a functioning componentand F (failure) for a nonfunctioning component].a. Which outcomes are contained in the event A thatexactly two out of the three components function?b. Which outcomes are contained in the event B that atleast two of the components function?c. Which outcomes are contained in the event C that thesystem functions?d. List outcomes in C9, A ø C, A ù C, B ø C, andB ù C.Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 165 men and a sample of 140 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 180men and a sample of, 160 women were drawn. In those samples,19 men were unemployed, and 10 of the women were unemployed. Complete parts a and b below. a. What is the test statistic? What is/are the critical value(s)? b. Determine the p-value and…
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- Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. Hypertension A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif- ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. 1. What is the probability that at least 7 of the 10…A researcher's survey results indicate that about 50% of 12th graders consume less than 300g of vegetables at lunch, about 40% consume 300-600g, and only 10% of them consume more than 600g. A high school conducted a survey of student diets and health information, and reported data about 12th graders' vegetable intake at lunch is reported in the table photo. If researchers wants to find out whether the high school has the same proportions of 12th graders in the vegetable intake categories as reported by the survey, what would the appropiate test statistic be to use and why. Choosing between an ANOVA, Chi -Square independence tests, Chi Square Goodness of Fit, and One sample proportion test?Many cement companies have research and development teams that continuously formulate and experiment different composition of chemicals to fully optimize the cement that they produce. Suppose a research team formulates 5 different mixtures every month. Two mixtures are selected at random from each batch for testing. The possible outcomes of the selection process are represented by pairs. For example, the pair (1, 2) represents the selection of mixtures 1 and 2 for testing. a. List all the different possible outcomes of the selection process. b. Suppose that mixtures 4 and 5 do not meet the requirements of the test. Two mixtures are to be chosen at random. Define ? to be the number of mixtures that does not meet the requirements among those tested. Find the probability distribution of ?. c. Find the cumulative distribution function of ?. Please answer this step by step and justify your answer.