You are given: (i) Losses follow an exponential distribution with mean 0. (ii) A random sample of losses is distributed as follows: Loss Range Number of Losses (0 – 100] 32 (100 – 200] 21 (200 – 400] 27 (400 – 750] 16 (750 – 1000] 2 (1000 – 1500] Total 100 Estimate 0 by matching at the 80th percentile. (A) 249 (B) 253 (C) 257 (D) 260 (E) 263
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- (a)The following table shows the amount of melted plastic (in grams) at various temperatures of the plastic (in Celsius). Temperature (Celcius) 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Melted Plastic (in grams) 8.1 7.8 8.5 9.8 9.5 8.9 8.6 10.2 9.3 9.2 10.5 (I)Find the linear regression equation of the amount of melted plastic temperature. (ii)Estimate the amount of melted plastic at temperature 1.75 Celcius. (iii)Calculate the coefficient of correlation and comment on the relationship between temperature and amount of melted plastic. (iv)Calculate the Spearman’s rank correlation coefficient for the above data. (b)A random sample of twelve students were chosen, and their midterm test score ( y), assignment score (x1), and missed classes (x2) were…Help me answer the following question in the pictures with the information below: Women athletes at a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample of 36 women athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the university is now less than 67%? Use a 10% level of significance.You are given: (1) Losses follow an exponential distribution with mean 0. (ii) A random sample of losses is distributed as follows: Loss Range Number of Losses (0 – 100] 32 (100 – 200] 21 (200 – 400] 27 (400 – 750] 16 (750 – 1000] 2 (1000 – 1500] 2 Total 100 Estimate 0 by matching at the 80th percentile. (A) 249 (В) 253 (C) 257 (D) 260 (E) 263
- (3.2 #16c) Most Expensive Colleges Listed below are the annual costs (dollars) of tuition and fees at the ten most expensive colleges in the United States for a recent year (based on data from U.S. News & World Report). The colleges listed in order are Columbia, Vassar, Harvey Mudd, University of Chicago, Trinity, Franklin and Marshall, Tufts, Amherst, University of Southern California, and Sarah Lawrence. 57,208 55,210 54,886 54,825 54,770 54,380 54,318 54,310 54,259 54,010 What is the standard deviation of this sample?= 4 10 A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.1), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.The number of years N(r) since two independently evolving languages split off from a common ancestral language is approximated by N(r) = – 4000 lIn r where r is the proportion of the words from the ancestral language that are common to both languages now. a. N(0.9) = (Round to the nearest tens place.) %3D b. N(0.4) = (Round to the nearest hundreds place.) c. N(0.1) = (Round to the nearest thousands place.) d. How many years have elapsed since the split if 60% of the words of the ancestral language are common to both languages today? years have elapsed since the split. (Round to the nearest hundreds place.) e. If two languages split off from a common ancestral language about 2000 years ago, find r. r = (Round to the nearest tenth as needed.)
- Example 9.27 The average daily sales of 500 branch officials was Rs 1,50,000 and the standard devia- tion was Rs 15,000. Assuming the distribution to be normal, indicate how many branches have sales between: (i) Rs 1,20,000 and Rs 1,45,000 (ii) Rs 1,40,000 and Rs 1,65,000 (iii) More than Rs 1,65,000missing entires in a probability density function. Use the following density function instead of the one in your text. Value of X Probability Product -2 (A) -0.4 |--1 (B) -0.3 (C) 0.3 0.3 2 0.2 (D) (1) What is the value of (A)? -2 (2) What is the value of (B)? (3) What is the value of (C)? (4) What is the value of (D)?(2.1)
- 1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was com- pared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance. Use the data in Problem 1. Pool the data across the treatments into one sample of size n = 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution 30%, 40%, 20%, and 10% and a = 0.05 to run the appropriate test. Percent Wound Healing Treatment 0-25% 26-50% 51-75% 76-100% New compound (n=125) 15 37 32 41 Placebo (n=125) 36 45 34 10The values under n, N, and (n/N,)x 100% for the following table are not real, they are presented here for reasons of clarity. Table 1: Age distribution. Age Group Number of Patients Size of Age Group in Catchment A rea (N,) Proportion (n/ N,)x100% (n) 0- 4 5 - 14 15 - 44 45 - 59 2 60 925 4675 5762 19.75 15.63 58.08 901 4213 7253 23.93 13.84 153 635 76 549 i. Explain why the use of the proportions (n,/ N, )x100%, i= 1, 2,. .. 5, in the construction of the multiple bar chart is comparatively better than the use of the number of patients, (n,). ii. Assuming you are the bio-statis tician, use the multiple bar chart to write a report to management Be guided by the purpose for which multiple bar charts are used.