In an article published in May 2014, Puget Systems published a variety of data on failure rates of graphics cards. In their studies, they found 1.57% of the GT/GTX 6xx series failed "in the field" (meaning cards actually sold to customers). Suppose we have a batch of 1000 of these cards and suppose the in-field failure rates of these cards happens to match up with the failure rate found by Puget. If you were to purchase two of these cards from the batch of 1000, what is the probability that at least one of your cards will fail?
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Shouldn't 100-1.57 be 98.43?
How did you get 96.88?
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- In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The rejection region to test the above hypothesis at the 5% significance level is: A. T < - 1.96 B. T < - 1.96 or Z > 1.64 C. Z< - 1.96 or Z > 1.96 D. Z < -1.64In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The hypotheses are: A. H0: p1 - p2 = 0 vs H1: P1 - p2 ≠ 0 B. H0: p1 - p2 > 0 vs H1- P1 - p2 < 0 C. H0: p1 - p2 > 0 vs H1: P1 - p2 ≠ 0 D. H0: p1 - p2 ≠ 0 vs H1: P1 - p2 = 0 E. None of the precedingAt the end of summer, the total weight of seeds accumulated by a nest of seed-gathering ants will vary from nest to nest. If the expected total weight of seeds gathered by a randomly chosen nest is 5 pounds, and the standarddeviationis0.5pounds,whatistheprobabilitythatthetotalcombinedweightoftheseedsgatheredby100 nests will be larger than 495 pounds by the end of next summer? To answer this question most accurately, given the information available, we would use: 1. Chebyshev’s theorem 2.Markov’s theorem (3.The Central Limit Theorem 4.The joint probability that the weight of seeds is larger than 5 pounds in each nest.
- If Katie is conducting a multi-way ANOVA and dfRows = 2, dfColumns = 3, dfInteraction = 6, dfWithin = 85, and alpha is set at .05, what is the critical value of F for the row main effect?A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 38% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process. A random sample of 150 deliveries since the just-in-time system was installed reveals that 33 deliveries were late. If we want to test whether the proportion of late deliveries was reduced signicantly at = 0:10 the null and alternative hypotheses are a. Null hypothesis (H0) b. Alternative hypothesis (HA)A Texas Garden Center wants to store leftover packets of vegetable seeds from their spring sale to have for their fall sale, but the center is concerned that the seeds may not germinate at the same rate six months later. The manager randomly selects a packet of green bean seeds remaining from the spring sale and plants them as a test. Although the packet claims a germination rate of 92% of the seeds, only 171 of the 200 test seeds sprout. Is this evidence that the seeds have lost viability during their six months in storage?
- 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 difficult 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 treatment by taking the right number of pills. If the preceding 50% rates were each reduced to 35% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is, would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program? (Round your answer to two decimal places.) The overall mortality rate among hypertensives would be reduced by how much? If possible please demonstarte how this can be done on a calculator, thank you!A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to develop tissue abnormalities that might lead to cancer as were women whose mothers did not take the drug. a. This study compared two What were the populations? b. Do you suppose the data were obtained in a survey or an experiment? c. For the population of women whose mothers took the drug DES during pregnancy, a sample of 3980 women showed that 63 developed tissue abnormalities that might lead to Provide a descriptive statistic that could be used to estimate the number of women out of 1000 in this population who have tissue abnormalities. d. For the population of women whose mothers did not take the drug DES during pregnancy, what is the estimate of the number of women out of 1000 who would be expected to have tissue abnormalities? e. Medical studies often use a relatively large sample (in this case.3980).Why?Show what correction (using the generalized least squares method) we should use if the form of heteroskedasticity was the following, show mathematically For both a) and b)