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A: Let X = MOE and Y= flexural strength y^=7.595,Sy^=0.186 when X=40 y^=9.706,Sy^=0.263 when X=60
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- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25%o or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p N 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups, they applied Fertilizer A, and to the other, they applied Fertilizer B. Then the researchers measured the radii of the radishes grown from the seeds in the two groups. The mean radius of the Fertilizer A group was 0.52 inches smaller than the mean radius of the Fertilizer B group. The researchers wanted to determine if this difference was due to the type of fertilizer or simply due to more seeds that produced smaller radishes being randomly assigned to the Fertilizer A group. To test if a difference of the means (A - B) of -0.52 inches or less could be due to chance, the researchers used a computer simulation to shuffle and randomly reassign the radishes to the two fertilizer groups. The difference between the two group means was then calculated and plotted on a dot plot. They…Fill the chi square for Cross 1 and Cross 2 from the following data in the attached image: Cross 1: Phenotypes Ratio Observed Expected (O-E)2/E Totals X2 = Cross 2: Phenotypes Ratio Observed Expected (O-E)2/E Totals X2 =
- The length of a widget is normally distributed with µ =6” and σ = 0.05”. What is the lower specification if 10.03% of the widgets are scrapped for being too short?Answer all questions. Please do not copy from other posts:There is a 3 percent error rate at a specii c point in a production process. If an inspector isplaced at this point, all the errors can be detected and eliminated. However, the inspectoris paid $8 per hour and can inspect units in the process at the rate of 30 per hour.If no inspector is used and defects are allowed to pass this point, there is a cost of $10per unit to correct the defect later on.Should an inspector be hired?
- The ratio of the lengths of the second and the fourth fingers, denoted 2D:4D, is an indicator of the level of prenatal testosterone. It is known that higher prenatal testosterone levels are associated with a lower 2D:4D value. Since testosterone levels are known to be related to behavioural traits, it has been conjectured that certain types of aggressive and dominant behaviours may be associated with lower 2D:4D values. van der Meij et al. (2012) conducted a study that investigated the possible relationship between 2D:4D and so-called "sociable" and "aggressive" dominance. For the study, 84 male students completed two questionnaires, measuring sociable and aggressive dominance respectively, on which high scores related to increased aggression. After some adjustments, a score between 1 and 6 was recorded for each subject on each questionnaire. The participants' hands were scanned and measurements taken, on which a 2D:4D measure could be recorded per subject by averaging the ratio for…Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: MOE 29.7 33.1 33.6 35.2 35.4 36.2 36.2 36.3 37.4 37.8 Strength 5.8 7.1 7.2 6.2 8.0 6.9 7.1 7.7 6.7 6.4 МОЕ 38.6 38.7 39.7 40.9 42.7 42.7 43.6 45.7 45.9 46.8 Strength 7.1 6.4 8.0 8.9 8.3 8.8 7.9 9.6 7.3 7.6 МОЕ 47.9 49.2 51.6 62.7 69.7 79.6 80.1 Strength 9.8 7.7 7.8 11.5 11.4 11.9 10.6 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ý = 7.589, s, = 0.180 when x = 40 and ý = 9.749, s, = 0.255 for x = 60. The simple linear regression model also resulted in a value of s = 0.8718. (a) Explain why s, is larger when x = 60 than when x = 40. O The closer x is to…1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of numbers? 2) A man invested 1000 Pesos per month on a bank that offers 6% interest compounded annually. How much can he get after 5 years? 3) A vessel is in a form of an inverted regular square pyramid of altitude 250 mm and base edge 160 mm. The depth of the water contains is 150mm. How much will the surface area rise when 0.5L of water is added.