Reliability data on an automated production machine are mean time between failures = 37.4 hr and mean time to repair = 34 min. The utilization of the machine is 89%. The fraction defect rate of the parts made on the machine is 1.1%. Its rated operating speed is 75 parts/hr, but it only operates at 62 parts/hr. (a) What is the overall equipment effectiveness of this machine? (b) The reliability and fraction defect rate would be difficult to improve upon, but utilization and rated speed could be increased. What values of utilization and operating speed would allow the overall equipment effectiveness to be increased to 85%.

Reliability data on an automated production machine are mean time between failures = 37.4 hr and mean time to repair = 34 min. The utilization of the machine is 89%. The fraction defect rate of the parts made on the machine is 1.1%. Its rated operating speed is 75 parts/hr, but it only operates at 62 parts/hr. (a) What is the overall equipment effectiveness of this machine? (b) The reliability and fraction defect rate would be difficult to improve upon, but utilization and rated speed could be increased. What values of utilization and operating speed would allow the overall equipment effectiveness to be increased to 85%.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Question 1 a) A wedding photographer has made $500 on average in the 5 years it has been operational. When 12 months were analyzed, it was found that he made $620 per month. Does the value $500 refer to the parameter or to the statistic? Is the value $650 a parameter or a statistic? iii. State two advantages of using a sample statistic rather than a parameter. b) For each the following variables, state which is quantitative and which is qualitative. If it is continuous, state whether it is discrete or continuous. The amount of flour added to bake a pie The temperature of a glass of milk iii. The addresses of all patients at a dental office c) Choose the level of measurement described below The number on the t-shirt of a player on a football team (ordinal, interval) The distance Madison runs every morning (interval, ratio) iii. The Magazine that sells the most copies in a month (nominal, ordinal)
Question 12 Do You Own a Smartphone?A study1 conducted in July 2015 examines smartphone ownership by US adults. A random sample of 2001 people were surveyed, and the study shows that 688 of the 989 men own a smartphone and 671 of the 1012 women own a smartphone. We want to test whether the survey results provide evidence of a difference in the proportion owning a smartphone between men and women.Let group 1 be US men and let group 2 be US women.Click here to access StatKey.1Anderson M, "The Demographics of Device Ownership," pewresearch.org, October 29, 2015. (a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. H0: vs Ha:Edit (b) Give the notation for the sample statistic. p1-p2 p^1-p^2 μ1-μ2 x-1-x-2 ρ1-ρ2 r1-r2…
question 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?
Question 1 a) A wedding photographer has made $500 on average in the 5 years it has been operational.When 12 months were analyzed, it was found that he made $620 per month. i. Does the value $500 refer to the parameter or to the statistic? ii. Is the value $650 a parameter or a statistic? iii. State two advantages of using a sample statistic rather than a parameter. b) For each the following variables, state which is quantitative and which is qualitative. If itis continuous, state whether it is discrete or continuous.i. The amount of flour added to bake a pie ii. The temperature of a glass of milk iii. The addresses of all patients at a dental office c) Choose the level of measurement described belowi. The number on the t-shirt of a player on a football team (ordinal, interval) ii. The distance Madison runs every morning (interval, ratio) iii. The Magazine that sells the most copies in a month (nominal, ordinal)
Question 7 Consider a cohort study to compare the mortality rate of myocardial infarction (MI) in men with sedentary work (exposed group) to men with physically active work (unexposed). If in the exposed, there were 36,000 person (man) years of observation and 126 deaths whereas the unexposed had 24,000 man-years of observation and 44 deaths. Compute the following a) Mortality rate in each cohort? b) What is the relative risk of dying, comparing these 2 groups? c) What is the attributable risk of sedentary work? d) What is the attributable benefit of physical activity? e) If we assume that MI is associated with the mortality in this cohort (causality), what proportion of the disease in the higher group is potentially preventable?
QUESTION 25 A clinical trial is being conducted in order to determine the efficacy of a new drug used to treat Rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but also by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 3.0 mg/dL, and if the standard deviation for C-reactive protein concentrations among arthritis patients was previously documented at 8 mg/dL, how many patients should be recruited for each group in the study assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group? nfor the treatment group = 112; n for the control group = 111 nfor the treatment group = 56; n for the control group = 57 nfor the treatment group = 55; n…
Section 10.3 Question #8 The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126. Redshift 0.0236 0.0535 0.0722 0.0398 0.0438 0.0108 Distance 0.34 0.75 0.98 0.55 0.63 0.14 a. Find the explained variation. ______________ (Round to six decimal places as needed.) b. Find the unexplained variation. _______________ (Round to six decimal places as needed.) c. Find the indicated prediction interval. _____________billion light-years < y < ____________ billion light-years (Round to three decimal…
QUESTION 32 Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients with asthma or other respiratory conditions often have restricted PEF. The mean PEF for children free of asthma is 306. An investigator conducts a study to investigate whether there is a difference in mean PEF in children with chronic bronchitis as compared to those without asthma or other respiratory conditions often have restricted PEF. Data on PEF are collected and summarized below. Based on the data, is there statistical evidence of a lower mean PEF in children with chronic bronchitis as compared to those without? Run the appropriate test at  = 0.05. Group Number of Children Mean PEF Std Dev PEF Chronic Bronchitis 25 281 68 No Chronic Bronchitis 25 319 74
QUESTION 18 In 2003, Major League Baseball took steps to speed up the paly of baseball games in order to maintain fan interest. In a sample of 94 games in 2002, 37 finished in less than 3 hours. A similar survey in 2003 of 78 games found that 42 finished in less than 3 hours. When testing the hypothesis (at the 5% level of significance) a higher percentage of games finished in less than 3 hours in 2003, what is the test statistic? (please round your answer to 2 decimal places)
QUESTION 11 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased; what is the critical value? (please round your answer to 2 decimal places)
Question 2 of 18, Step 1 of 1 1/out of 18 Correct 4 An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 120120 engines and the mean pressure was 4.54.5 lbs/square inch. Assume the variance is known to be 0.810.81. If the valve was designed to produce a mean pressure of 4.34.3 lbs/square inch, is there sufficient evidence at the 0.10.1 level that the valve performs above the specifications? State the null and alternative hypotheses for the above scenario.