Statistics Essay Example | Topics and Well Written Essays - 2500 words

Statistics - Essay ExampleFind your name in the list and make a note of your dataset number. You will subprogram this to access your own datasets for the questions in section B. This project is worth ampere-second% of the final mark Section A Statistics Quiz Answers to questions in this section require no much than one or two sentences each 1. Quantitative variables can be discrete or continuous. excuse the difference between discrete data and continuous data, and give one example of each. Answer A discrete variable can as jointuree only a countable number of values such as number of persons in a family, whereas a continuous variable can assume whatever numerical value over a certain interval or intervals (uncountable number of values) such as height of a person. 2. A measure of location is a quantity which is typical of the data. Give the names of three such measures, and explain (in words, not formulae) how each is found. Answer The most common measures of central object or location used to describe data ar Mode This is the most commonly occurring value. median(prenominal)(prenominal) The middle value when all the data are placed in order. Mean (Arithmetic Mean) It is the ratio of the sum of the scores to the number of the scores. 3. What is a measure of spread? Give the names of three such measures. ... in figure 1 suggests that median would be a suitable measure of location and interquartile range would be a suitable measure of spread for these data. 5. The chance that a ship has a wrong radio detection and ranging is 0.05. The probability that a ship has a defective echo is 0.06. Three in one hundred ships have both a defective echo and a defective radar. Find the probability that a randomly chosen ship has either a defective echo or a defective radar. Answer P(def. radar) = 0.05 P(def. echo) = 0.06 P(def. radar and def. echo) = 3/ ascorbic acid = 0.03 P (def. radar or def. echo) = P(def. radar) + P(def. echo) P(def. radar and def. echo) P (def. radar or def. echo) = 0.05 + 0.06 0.03 = 0.08 6. Under what conditions might we use a binomial distribution as a probability model for our data? Answer We use a binomial distribution when following four conditions are satisfied The number of trials n is fixed. Each trial is independent. Each trial represents one of two outcomes ( victory or failure). The probability of success p is the same for each trial. 7. Under what conditions might we use a normal distribution as a probability model for our data? Answer The mean, median and mode are equal The graph is symmetrical about the mean (50% above and 50% below) Because 100% of the distribution lies below the curve, the total area below the curve is 100% or 1. 68% of the ideal lies within one standardized deviation of the mean 34% above and 34% below 96% within two standard deviations 48% above and 48% below 99.7% within three standard deviations 49.85% above and 49.85% below The two ends are asymptotic to the horizontal axi s. 8. In hypothesis testing, the p-value can be thought of as the chance of obtaining the observed results, or more extreme results, if the