REVIEW EXERCISES CHAPTER 8 AND 9 PROFESSOR JONAS WIU-RES BY DEBRA JAMES CHAPTER 8 1. High temperature in the United States a meteorologist claims that the average of the highest temperatures in the united states in 98. A random sample of 50 cities is selected‚ and the highest temperatures are recorded. The data are shown. At a=0.05 can the claim be rejected? a=7.7 97‚ 101‚ 99‚ 99‚ 100‚ 94‚ 87‚ 99‚ 108‚ 93‚ 96‚ 88‚ 98‚ 97‚88‚ 105‚ 97‚ 96‚ 98‚ 102‚ 99‚ 94‚ 96‚ 114‚ 99‚ 96‚ 98‚ 97‚ 91‚
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The population standard deviation σ of a discrete random variable ‚ Measure how close a random variable tends to be the population mean μ‚ so you must understand μ before you understand σ If you have a random variable like a bet at a casino or and investment then the standard deviation σ measure the risk‚ if there is a lot of risk then the standard deviation is high The formulas for standard deviation are given below but you should look at the examples first Population mean Population variance
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milligrams of tar per cigarette and a standard deviation equal to 1.0 milligram. Suppose a sample of 100 low-tar cigarettes is randomly selected from a day’s production and the tar content is measured in each. Assuming that the tobacco company’s claim is true‚ what is the probability that the mean tar content of the sample is greater than 4.15 milligrams? [0.00621] 2. The safety limit of a crane is known to be 32 tons. The mean weight and the standard deviation of a large number of iron rods
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Standard Deviation objective • Describe standard deviation and it’s importance in biostatistics. Measure of Dispersion • Indicates how widely the scores are dispersed around the central point (or mean.) -Standard deviation Standard Deviation. • The most commonly used method of dispersion in oral hygiene. • The larger the standard deviation‚ the wider the distribution curve. Standard Deviation • SD‚ ‚ (sigma) • Indicates how subjects differ from the average of the group/ the more they
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Inferences for One Population Standard Deviation The Standard deviation is a measure of the variation (or spread) of a data set. For a variable x‚ the standard deviation of all possible observations for the entire population is called the population standard deviation or standard deviation of the variable x. It is denoted σx or‚ when no confusion will arise‚ simply σ. Suppose that we want to obtain information about a population standard deviation. If the population is small‚ we can often determine
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Standard deviation can be difficult to interpret as a single number on its own. Basically‚ a small standard deviation means that the values in a statistical data set are close to the mean of the data set‚ on average‚ and a large standard deviation means that the values in the data set are farther away from the mean‚ on average. The standard deviation measures how concentrated the data are around the mean; the more concentrated‚ the smaller the standard deviation. A small standard deviation can
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Standard Deviation (continued) L.O.: To find the mean and standard deviation from a frequency table. The formula for the standard deviation of a set of data is [pic] Recap question A sample of 60 matchboxes gave the following results for the variable x (the number of matches in a box): [pic]. Calculate the mean and standard deviation for x. Introductory example for finding the mean and standard deviation for a table: The table shows the number of children living
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I ’ll be honest. Standard deviation is a more difficult concept than the others we ’ve covered. And unless you are writing for a specialized‚ professional audience‚ you ’ll probably never use the words "standard deviation" in a story. But that doesn ’t mean you should ignore this concept. The standard deviation is kind of the "mean of the mean‚" and often can help you find the story behind the data. To understand this concept‚ it can help to learn about what statisticians call normal distribution
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Deviation Definition: Behavior commonly seen in children that is the result of some obstacle to normal development such behavior may be commonly understand as negative (a timid child‚ a destructive child) or positive (a quite child)‚ both positive and negative deviation will disappear once the child begins to concentrate on a piece of work freely chosen by him. The physical deforms are easier to identify. This can be by birth due to an accident etc… and most such physical deforms
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a. standard deviation b. mean c. variance d. range Answer: b 2. A numerical value used as a summary measure for a sample‚ such as sample mean‚ is known as a a. population parameter b. sample parameter c. sample statistic d. population mean Answer: c 3. Since the population size is always larger than the sample size‚ then the sample statistic a. can never be larger than the population parameter b. can never be equal to the population parameter
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