3. 14х — 24 %3D 27 — Зх 34. Зх — 8 3 15х + 4 3x 34. 3x – 8 = 15x + 4 35. 3(s – 8) = 5 (s – 4) + 6 %3D 36. 5(2x + 1) + 5 = 5(x – 2) 5t - 1 3t 37. 4 2 = 3 + 2 3 (х — 2) 39. 1 t + 4 38. 4 4 9 x - 5 40. 1 - + 3 + x : 2 4)
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- A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents?A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Assuming the conditions for inference are met, what is the 90% confidence interval for the difference in proportions of clothes that receive a rating of 7 or higher for the two detergents? Find the z-table here.A laundry detergent company wants to determine if a new formula of detergent, A, cleans better than the original formula, B. Researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. After washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. The researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. For detergent A, 228 pieces of clothing received a 7 or higher. For detergent B, 210 pieces of clothing received a rating of 7 or higher. Based on the 90% confidence interval, (0.02, 0.12), is there convincing evidence that the new formula of laundry detergent is better? A) There is convincing evidence because the interval is entirely above 0. B) There is not convincing evidence because the sample sizes are too small. C) There is convincing evidence because the number of clothing items receiving a…
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- A study was conducted by researchers to determine if application of duct tape is more effective than cryotherapy (liquid nitrogen applied to the wart for 10 seconds every 2 to 3 weeks) in the treatment of common warts. The researchers randomly divided 40 patients into two groups. The 20 patients Group 1 had their warts treated by applying duct tape to the wart for 6.5 days and then removing the tape for 12 hours, at which point the cycle was repeated, for a maximum of 2 months. The 20 patients in group 2 had their warts treated by cryotherapy for a maximum of six treatments. Once the treatments were complete, it was determined that 17 patients in Group 1 (duct tape) and 11 patients in Group 2 (cryotherapy) had complete resolution of their warts. (Source: Archives of Pediatrics and Adolescent Medicine, 156(10), 2002). Conduct a hypothesis test to address the research question whether application of duct tape is more effective than cryotherapy in the treatment of common warts. Set…In laboratories where clinical tests are carried out, two types of test are available for the detection of a highly contagious virus. The Type A test is very fast and inexpensive while the Type B test is a test that requires more time to obtain a diagnosis and is more expensive. It is known that the economic test. Type A, generates correct diagnosis (C) in 60% of cases. While the Type B test provides the correct diagnosis (C) in 99% of cases. If after six months of quarantine due to this virus the health secretary realizes that 80% of the tests carried out in the state correspond to Type A economic tests and only 20% were Type B. If it is known that a test made an incorrect diagnosis. What is the probability that the Type A economic test did? .9937 .24844 .322 .6211 .3788Stock y has a beta of 1.2 and an expected return of 11.5. Stock z has a beta of .80 and an expected return of 8.5 percent