As part of its quality assurance program, the Autolite Battery Company conducts tests on battery life. For a particular D-cell alkaline battery, the mean life is 19 hours. The useful life of the battery follows a normal distribution with a standard La deviation of 1.2 hours. (12-19 Answer the following questions. 1. About 68/percent of the batteries failed between what two values? Mt6 About 95 percent of the batteries failed between Mt what two values? 2. Virtually all of the batteries 3. failed between what two values?
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- A researcher in behavioral medicine believes that stress often makes asthma symptoms worse. The research decides to examine the effect of relaxation training on the severity of asthma symptoms. A sample of 5 patients is selected for the study. During the week before treatment, the researcher records the severity of the symptoms by measuring how many doses of medication are needed for asthma attacks. Then the patients receive relaxation training. For the week following training, the research once again records the number of doses required by each patient. The mean difference is calculated Md= -4 with SS= 16. a. Using symbols, state the hypothesis for a two-tailed test. b. With a two tailed a=0.05, identify the degrees of freedom and the critical regions. c. Calculate the sample variance. d. Calculate the estimated standard error e. Compute the t statistic and state the conclusion of the findings. f. Calculate the estimated d and r2.A nationwide survey in 1995 revealed that U.S. grade-school children spend an average of µ = 8.4 hours per week doing homework. The distribution is normal with σ = 3.2. Last year, a sample of n = 100 grade-school children was given the same survey. For this sample, the mean number of homework hours was 7.1. Has there been a significant change in the homework habits of grade-school children? Test with α = .05.People gain weight when they take in more energy from food than they expend. Researchers wanted to investigate the link between obesity and energy spent on daily activity. Choose 20 healthy volunteers who don't exercise. Deliberately choose 10 who are lean and 10 who are mildly obese but still healthy. Attach sensors that monitor the subjects' every move for 10 days. The table below presents data on the time (in minutes per day) that the subjects spent standing or walking, sitting, and lying down. Is there a significant difference between the mean times the two groups spend lying down? Let ?1 be the mean time spent lying down by the lean group, and ?2 be the mean time for the obese group. Time (minutes per day) spent in three different postures by leanand obese subjects Group Subject Stand/Walk Sit Lie Lean 1 506.100 374.300 559.500 Lean 2 602.925 376.512 455.650 Lean 3 315.212 587.138 536.362 Lean 4 587.644 352.144 487.269 Lean 5…
- People gain weight when they take in more energy from food than they expend. Researchers wanted to investigate the link between obesity and energy spent on daily activity. Choose 20 healthy volunteers who don't exercise. Deliberately choose 10 who are lean and 10 who are mildly obese but still healthy. Attach sensors that monitor the subjects' every move for 10 days. The table below presents data on the time (in minutes per day) that the subjects spent standing or walking, sitting, and lying down. Is there a significant difference between the mean times the two groups spend lying down? Let ?1 be the mean time spent lying down by the lean group, and ?2 be the mean time for the obese group. Time (minutes per day) spent in three different postures by leanand obese subjects Group Subject Stand/Walk Sit Lie Lean 1 509.100 366.300 554.500 Lean 2 603.925 374.512 452.650 Lean 3 322.212 580.138 533.362 Lean 4 581.644 362.144 489.269 Lean 5…A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. Suppose the true mean systolic blood pressure of CEOs of major corporations is 132 mm Hg. Fill in the four blanks to describe a Type I error. 1. A Type I error would be (rejecting) or (failing to reject) the hypothesis 2. that μ is (less than) (less than or = to) (greater than) (greater than or = to) (not = to) or (= to) 3. the number (124) (132) or (20)…A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 132 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 124 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. A. H0: H1: B. Suppose that the researcher decides to reject the null hypothesis. Would the research be making a type I or type II error?
- The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0 degrees at the freezing point of water. Assume that the mean reading is 0 degrees and the standard deviation of the readings is 1.00 degree. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find P23 , the 23rd Percentile. Group of answer choices 0.591 degrees .409 degrees -0.74 degrees 0.74 degreesA health psychologist is interested in the potential effect that a change in career focus can have on cardiovascular disease for those in high stress jobs. She chooses to study divorce lawyers (a population that averages a mean systolic blood pressure of 142 with a standard deviation of 13) and measures the blood pressure of 23 former divorce lawyers who switched to environmental law. Those 23 lawyers have a mean systolic blood pressure of 131. How much of a margin of error does the health psychologist's study have?Juan is in his first semester at a university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score. Among all the students in the course, the mean of the exam was 83 with a standard deviation of 9. Juan scored a 57 on this exam Find the =-score of Juan's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places.
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure, µ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistics test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 144 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: µ is ? ________ ? ______ H1: µ is ? ______ ? _______ In the context of the test, what is a Type I error? A Type I error is ? ______ the hypothesis that µ is ? _________ ? _______ When, in fact, µ is ? _________ ? _______. Suppose that the researcher decides…A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He has good reason to believe that the mean systolic blood pressure, , of CEOs of major corporations is more than 134 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test. He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 146 mm Hg and the standard deviation of the sample to be 20 mm Hg. Based on this information, complete the parts below. (a) What are the null hypothesis and the alternativeThe Graduate Record Exam (GRE) is a standardized test required to be admitted to many graduate schools in the United States. A high score in GRE makes admissions more likely. According to the Educational Testing Service, the mean score for the takers of GRE who do not have training courses is 555 with the standard deviation of 139. Brain Philippines (BP) offers expensive GRE training courses, claiming their graduates score better than those who have not taken any training courses. To test the company's claim, a statistician randomly selected 30 graduates of BP and asked their GRE scores. They recorded a mean score of 560 in GRE. Is the company's claim true, using a 95% confidence level?