You are given the following information about a group of 10 claims: Claim Size Number of Claims Number of Claims Interval in Interval Censored in Interval (0-15,000] 1 2 (15,000-30,000] 1 (30,000-45,000] 4 Assume that claim sizes and censorship points are uniformly distributed within each interva Estimate, using the life table methodology, the probability that a claim exceeds 30,000. (A) 0.67 (B) 0.70 (C) 0.74 (D) 0.77 (E) 0.80
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- 21. MEAN AND STANDARD DEVIA- TION For groups of five drivers, find the mean and standard deviation for the numbers of drivers who say that they text while driving. Number of Drivers Who Say That They Text While Driving 0 1 2 3 4 5 P(x) 0.066 0.238 0.344 0.249 0.090 0.013Step 2: Calculate the expected value for the number of customers on Tuesday. Enter your answer as a fraction or a decimal rounded to three decimal places. Step 3: Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places. Step 4: Draw a conclusion and interpret the decision.2. The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes, Draw the area under the curve and find the probability that a call a. Lasts between 5 and 10 b. Lasts more than 7 minutes c. Lasts less than 4 minutes
- 1. For each claim below, write: (1) claim in mathematical form; (2) Null hypothesis (Ho); (3) alternative hypothesis (Hp); (4) what tailed test. Use notations MuMz (for mean), PuP2 (for proportion), 01,02 (for standard deviation), Mo (for differences in means for dependenr (i.e., matched pair) samples) (a) Claim: California HS students on an average score lower in the SAT than Massachusetts HS students (1 = California, 2 = Massachuselts) (b) Claim: The proportion of smokers in Texas is the same as that in Oklahoma (1 = Texas, 2 = Oklahoma) (c) Claim: The standard deviation of weights in 8 oz Coke cans is at least as high as that in Pepsi cans (1 - Coke, 2 - Pepsi) (d) Claim: Ethiopian track athletes are, on an average, faster long-distance runners than the USA track athletes (1 - Ethiopia, 2 - USA) (e) Claim: The cholesterol level before taking Lipitor is, on an average, higher than that after taking the drug (I - Before drug, 2 - Aller drug)Define the following terms of Statistics in your own words and explain with suitable examples of your practical life: 1. Probability and Random Experiment 2. Sample Space and Cartesian Product of se A and set B 3. Binomial probability distribution and hypergeometric probability distribution 4. Mutually exclusive event and equally likely events 5. Poisson distribution and its mean and variance 6. Standard Normal distribution and Normal distrībution with its pdf and properties|19. An advantage of the interquartile range (IQR) over the range (R) is that it | a. can be used for nominal level variables. b. includes the most extreme scores |c. is based on only the middle 50% of the scores |d. ignores the first and third quartiles 20. The distance between a score and the mean is called a. the deviation score b. the difference score c. the range d. the summation
- Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a newspaper article, the mean of the x distribution is about $34 and the estimated standard deviation is about $9. You can usee Part A and B as a reference, but I do not need help with answering them. c) Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $32 and $36? (Round your answer to four decimal places.) (d) In part (b), we used x, the average amount spent, computed for 60 customers. In part (c), we used x, the amount spent by only one customer. The answers to parts (b) and (c) are very different. Why would this happen? Select one of the options: A. The standard deviation is smaller for the x distribution than it is for the x distribution. B. The mean is larger for the x distribution than it is for the x distribution. C. The standard deviation is larger for the x distribution…How many ways can 5 students line up for lunch if Jack, one of the students, is not at the front of the line? Select one: 24 120 96 4Explain with the aid of examples, the meaning of the following in context of researchdesign:a. Extraneous variable and Confounding Variable b. Sampling Frame and Sampling Error c. Central Limit Theorem and Students t-distribution d. Experimental and Control Group