Lathiya problem

Please answer all question step by step. PLease give explanation of each step otherwise i will not accept answer.

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Q1:

[C.A., May '74] 36. From the following distribution of weekly earnings, calculate (i) the most usual wage, and (ii) the percentage earning more than Rs. 31.50. Weekly Earnings (Rs) 25- 26- 27- 28- 29- 30- 31- 32 No. of Persons 25 70 210 275 430 550 340 130 33- 34- 35- 36 Total 90 55 25 2200 [I.C. W.A., Dec. '73]article on pedaling techniques for elite endurance cyclists reported on single-leg power at a high workload. My Notes Ask 244 188 155 183 176 174 179 208 213 107 212 184 200 199 (a) Calculate the sample mean x and median i. (Round your mean to two decimal places.] Interpret the sample mean and median. O The median is larger than the mean, but they are still fairly close together. O The mean is much larger than the median. O The median is much larger than the man. The mean is larger than the median, but they are still fairly close together. (bj Suppose that the first observation had been 259 rather than 344, Calculate the sample mean and medun, (Round your mean to two decimal places.] How would the mean and median change? @ Both the mean and median decreased. Both the mean and median stayed the same. The mean increased, and the median stayed the same. The mean decreased, and the median stayed the same. (c] Calculate a trimmed mean by eliminating the smallest and largest sample observations. (Enter your answer to two decimal places.) What is the corresponding trimming percentage? (Round your answer to two decimal places.] (d) The article also reported values of single leg power for a low workload. The sample mean for n = 13 observations was ? = 119.8 factually 119.7093), and the Bitch obamanon, warewhat of an outlet was 1 51, What is value of a for the entire sample? (Round your lower to the nearest whole number]In a small town the given chart below reflects the ethic and religious backgrounds of the population. Let C, B, I, and S denote the events of being Catholic, Baptist, Italian, and Spanish respectively. Religion/Ethnic Italian Spanish Total background Catholic 145 122 267 Baptist 111 225 336 Total 256 347 I . 603 Suppose that one person from the population is randomly selected. What is the probability that the person chosen is a Baptist given that the person chosen is Spanish? 6 Are events A" and A mutually exclusive? Explain briefly. 7 Describe two events that are independent. 8. Describe two events that are mutually exclusiveAn article on pedaling techniques for elite endurance cyclists reported on single-leg power at a high workload. 244. 168 155 183 176 174 179 208 213 187 212 184 200 199 (a) Calculate the sample mean x and median . (Round your mean to two decimal places.) X - 189.43 - 187.50 Interpret the sample mean and median. The median is larger than the mean, but they are still fairly close together. The mean is much larger than the median. The median is much larger than the mean. The mean is larger than the median, but they are still fairly close together. (b) Suppose that the first observation had been 259 rather than 244. Calculate the sample mean and median. (Round your mean to two decimal places.) * = 190.50 X 7 - 187.50 How would the mean and median change? Both the mean and median decreased. Both the mean and median stayed the same. The mean increased, and the median stayed the same. O The mean decreased, and the median stayed the same. (c) Calculate a trimmed mean by eliminating the smallest and largest sample observations. (Enter your answer to two decimal places.) 190.17 X2) Identify each of the following studies as either descriptive statistics or inferential statistics: a. Examine the weights of a sample of 25 manufacturer parts to see if the average weight of all the parts produced by the process is 3 pounds. b. Post the average final score for the statistics class. c. Select a random sample of 50 babies born in 2000 and estimate the birth weight of all babies born during the same year. d. Examine the weights of a sample of 10 candy bars to see if their average weight is 6 ounces. 3) At the end of an escorted motor coach vacation, the tour operator asks the vacationers to respond to the questions listed below. For each question, determine whether the possible responses are Ratio, nominal, or ordinal. a. How many escorted vacations have you taken prior to this one? b. Do you feel that the stay in Dubai was sufficiently long? c. Which of the following features of the hotel in Dubai did you find most attractive: location, facilities, room size, or price? d. What is the maximum number of hours per day that you would like to spend traveling? e. Would your overall rating of this tour be excellent, good, fair, or poor? 4) Determine the data type ( discrete or continuous ) of the following observations: a. The number of born babies in a specified day. b. The survival time, in months, that a patient of cancer survives after diagnosis. c. The concentration of lead in a sample of water. d. Whether a new drug is effective to cure a certain disease or not.(14') (i) List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 9; (b) the set S = (x | 2x - 6 > 0 and x