W#3 NOTE STATS LIT #3

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Fairleigh Dickinson University *

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2023

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Statistics

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Apr 3, 2024

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Wi#3 NOTE STATS LIT #3 Question 1 1 out of 1 points A statistic is a number that measures a sample. FALSE or TRUE? Selected Answer: True Question 2 1 out of 1 points A parameter is a number that measures a population. FALSE or TRUE? Selected Answer: True Question 3 1 out of 1 points Random number generation from a calculator, software or computer program is not useful in creating a simulation where some chance behavior can be imitated or modeled. FALSE or TRUE? Selected Answer: False Question 4 1 out of 1 points The sampling distribution of some sample statistic, such as the mean, is a collection of all possible statistics, again for example the means, from same sized samples taken from the same population. FALSE or TRUE? Selected Answer: True Question 5 1 out of 1 points The shape of any sampling distribution, when sample sizes are sufficiently large, is symmetric and appears as essentially a normal curve. FALSE or TRUE? Selected Answer: True Question 6 1 out of 1 points A statistic is an unbiased estimator of its correpsonding parameter when it is equal to the true value of that population parameter. FALSE or TRUE? Selected Answer: True Question 7 1 out of 1 points The smaller the sample size, the smaller the spread in its corresponding sampling distribution. FALSE or TRUE? HINT: Think about it -- would samples of smaller or larger sizes more adequately represent the whole population and therefore exhibit less variability? Selected Answer: False Question 8 1 out of 1 points According to Dr. David S. Moore, Professor Emeritus at Purdue University, "Probability theory is the branch of mathematics that describes random behavior." FALSE or TRUE? Selected Answer: True

Question 9 1 out of 1 points Randomness involves the uncertainty of individual outcomes over many iterations. FALSE or TRUE? Selected Answer: True Question 10 1 out of 1 points A i P the ical outcome of a random phenomenon. FALSE or TRUE? Selected Answer: True Question 11 1 out of 1 points A discrete random variable assumes an infinite number of values. FALSE or TRUE? Selected Answer: False Question 12 1 out of 1 points A probability distribution table lists the possible values of a discrete random variable and their corresponding probabilities. FALSE or TRUE? Selected Answer: True Question 13 1 out of 1 points Outcomes that have the same chance of happening are equally likely. FALSE or TRUE? Selected Answer: True

Question 14 1 out of 1 points When an experiment is repeated many time, the statistical measurement of the outcomes tends to approach the true value of its parameter. This is known as the law of large numbers. For example, when tossing a fair coin over many, many trials, the outcomes tends closer and closer towards the theoretical likelihood of 1/2 or 50%. FALSE or TRUE? Selected Answer: True Question 15 1 out of 1 points A density curve provides a graphical representation of the distribution associated with a continuous random variable. It is a statistical function that models the relative frequency of a collection of probability values for a continuous distribution. FALSE or TRUE? Selected Answer: True Question 16 1 out of 1 points A continuous random variable can assume all values throughout the span of an interval of numbers. The associated probabilities correspond to the area under a density curve where that interval is the scale along an axis beneath the curve or graph of a statistical function. FALSE or TRUE? Selected Answer: True Question 17 1 out of 1 points For a continuous random variable with a uniform distribution, its density curve is rectangular.. FALSE or TRUE? Selected Answer: True Question 18 1 out of 1 points The symbol, i}, represents a sample proportion, sometimes also know as a percentage. FALSE or TRUE? Selected Answer: True Question 19 1 out of 1 points The symbols, p, represents a population proportion. Alternatively, it can be symbolized as z, the same Greek letter utilized by the mathematical constant for the ratio of circumference divided by diameter for any circle. FALSE or TRUE? Selected Answer: True Question 20 1 out of 1 points The standard deviation for the sampling distribution of a proportion,p, can be computed as follows: 1- 1- \/u or \/u , Where n is the sample size. n n FALSE or TRUE? Selected Answer: True Question 21 1 out of 1 points Applying the sampling distribution for a proportion is only appropriate when the ratio of population to sample is at least ten to one (10:1). FALSE or TRUE? Selected Answer: True Question 22 1 out of 1 points Experimental observations are independent when they do not impact each other; they are not interrelated nor does the occurrence or non-occurrence of one affect the chance the other will occur or not occur. FALSE or TRUE? Selected Answer: True

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Question 23 1 out of 1 points The outcomes of a binomially distributed random variable cannot be characterized as two different, sometimes opposite, results, such as success and failure. FALSE or TRUE? Selected Answer: False Question 24 1 out of 1 points A binomial coefficient is a number of arrangements of k successes or occurrences among a total of n observation; this combinatoric can be symbolized as follows: C or or C or C ( n, r) . nor nr . ri(n=r)! Recall the exclamation point symbol, !, indicates a factorial or special product of consecutive counting number starting at n and continuing down to one. The spreadsheet function is =FACT{ .... It can be manually computed as follows: C = nor The corresponding spreadsheet function to compute the binomial coefficient is as follows: =COMBIN( ..... FALSE or TRUE? Selected Answer: True Question 25 1 out of 1 points A statistical process is not in control when any of its variable measurements adhere to the same distribution for any given period of time. FALSE or TRUE? Selected Answer: False

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