Problem 5: In an institution 2.28% employees have incomes below 4500 and 15.8% have income above 7500 per month. Assuming the distribution of incomes to be normal, find the mean and S.D. of incomes.
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Q: A: 12.7 13.4 12.6 12.1 11.6 11.1 14.2 15.1 B: 9.8 14.5 10.7 14.2 13.2 12.9 10.9 10.0 12.5 12.3 13.1…
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Q: In this problem, assume that the distribution of differences is approximately normal. Note: For…
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- 4 Answer Question 15-26 based on the information below: Table 1 gives data on weekly consumption expenditure (Y - in dollars) and weekly family income (X - in dollars). 15. 16. CONFIDENTIAL 17. 18. 19. 20. 21. 23. 24. A. 29520 and 260000 B. 57200 and 550.6667 C. 23.3333 and 420 D. 15.3333 and 130 26. What is the mean value of weekly consumption expenditure (Y) and weekly family income (X)? A. 0.0979 B. 0.2415 C. 2.6061 D. 4.6515 A. 0.0979 B. 0.2415 C. 2.6061 D. 4.6515 Y 4 7 8 10 13 What is the value of Ex² and Ey², given that x₁ = X₁ X while y₁=Y-Y? A. 29520 and 260000 B. 57200 and 550.6667 C. 23.3333 and 420 D. 15.3333 and 130 What is the value of Y and Σe, given that Y₁ = b₁ + b₂X, while e = Y₁-₁? A. 184 and 0 B. 184 and 2.4149 C. 15.3333 and 0 D. 15.3333 and 2.4149 A. 16.3124 B. 18.2704 15 17 Based on the method of Ordinary Least Squares (OLS), what is the value of intercept (b₁)? 18 20 22 24 26 A. 0.0021 B. 0.0915 C. 0.2415 D. 0.3025 Based on the method of Ordinary Least Squares…What is the relative frequency of deaths that occurred in 2000 or before?Consider two completely different data sets: price per gallon of gas in Fort Pierce and SAT scores of students at a certain high school. The price per gallon of gas data set has a mean of $2.95 and a standard deviation of S1.15. The high school SAT scores data set has a mean of 1078 and a standard deviation of 198. Calculate the Coefficient of Variation for both data sets. Round solutions to one decimal place, if necessary. Coefficient of Variation for the price per gallon of gas data set: Coefficient of Variation for high school SAT scores data set: Which data set has greater variability? Price per gallon of gas Thus, we see that when comparing two data sets, the data set with the larger standard deviation does not v necessarily have greater variabilty. Check All Parts
- Task 9: Answer the following: The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean u and standard deviation 5.4 kg .Given that 10% of boxes contains less than 17 kg. Find. a. The value of p. b.The percentage of boxes that contain more than (17 +4) kg. c.If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (17 + 3)kg and standard deviation of o. Given that the probability of boxes contains between 17 kg and (17 + 6) kg is 0.9671, find the value of o.J11.In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
- Step 1: Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 70% of vehicles on the roads in the Minneapolis-St. Paul metropolitan area are occupied by just the driver. You choose 84 vehicles at random. What are the mean and standard deviation of the proportion of vehicles in your sample that carry only one person? (Fill in the blanks below.) The mean is (1) . (Give your answer to 1 decimal place.) (2) The standard deviation is (Give your answer to 2 decimal places.) eBook Answer 1 Answer 2Read the following prompt and complete 3.a and 3.bWhich of the following statements is not true? There is only one median for each variable. One definition of the median states that, for an odd number of observations, the median is the middle score when scores are placed in order of magnitude. Another term for the median is 50th percentile. The median is generally more sensitive to (i.e., affected by) the presence of a few extreme observations than is the mean.
- 3. The fill volume of an automated filling machine used for filling cans of carbonated beverage isnormally distributed. Suppose that the mean of the filling operation can be adjusted easily, but thestandard deviation remains at 0.4 fluid ounce.a. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces?b. At what value should the mean be set so that 99.9% of all cans exceed 12 fluid ounces if thestandard deviation can be reduced to 0.09 fluid ounce?Average monthly wages (per employee) in 4 sectors of an economy are as follows: industry: 2000 dinars, building: 2200 dinars, agriculture: 1500 dinars, services: 1800 dinars. Number of people employed in the four sectors are 5 million, 2 million, 6 million, and 2 million, respectively. Using the concept of harmonic mean compute the average monthly wages in the economy under consideration.In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.In the following data pairs, A represents birth rate and B represents death rate per 1000 resident population. The data are paired by counties in the Midwest. A random sample of 16 counties gave the following information. A: 12.5 13.2 12.6 12.1 11.4 11.1 14.2 15.1 B: 9.6 14.3 10.7 14.2 13.2 12.9 10.9 10.0 A: 12.5 12.3 13.1 15.8 10.3 12.7 11.1 15.7 B: 14.1 13.6 9.1 10.2 17.9 11.8 7.0 9.2
