W#4 NOTE Sampling Distribution

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Fairleigh Dickinson University *

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2023

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Business

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Apr 3, 2024

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W#4 NOTE Sampling Distribution Question 1 0.5 out of 0.5 points Statistical inference or educated guessing using statistical techniques and data analysis are not biased if completed based on one and only one data point. Agree or disagree? Selected Answer: Disagree Question 2 0.5 out of 0.5 points Statistical inference based on one and only one data point may be biased in part because the data point may be unrepresentative of most other data points in the collection. Agree or disagree? Selected Answer: Agree Question 3 1 out of 1 points An unrepresentative or unusual data point, unlike the rest of the data collection, is known as an [HINT: Record the seven letter word, all lower case. You will figure it OUT.] Selected Answer: outlier Question 4 0.5 out of 0.5 points Instead of utilizing a single data point, statisticians use a sample statistic such as the sample mean or x as the basis for their statistical inference. Agree or disagree? Selected Answer: Agree Question 5 0.5 out of 0.5 points The sampling distribution of x is the probability distribution for all possible values of the sample mean, X. Agree or disagree? Selected Answer: Agree Question 6 0.5 out of 0.5 points The sampling distribution is not the relative frequency of each possible sample mean occurring in a population. Agree or disagree? Selected Answer: Disagree Question 7 1 out of 1 points Mrs. Montoya dispatcher at Acme Bus Company, needs to pull two of five school buses off their regularly scheduled early morning routes for an emergency inspection, following a series of minor, non-critical mechanical failures. Replacement coaches will be sent, but with a slight delay. She randomly chooses two of the buses for this urgent attention. The buses all operate in the same town and are designated by the neighborhood they serve: Ash (A), Birchwood (B), Crabapple (C), Dogwood (D), and Elm (E). She also wonders how many students, on average, her decision will inconvenience. Bus A B G D E Number of Students 24 30 21 18 27 To assist Mrs. Montoya, select a simple random sample of buses, n, from the population of size, N. What is the sample size? [A] What is the population size? [B] Specified Answer for: A 2 Specified Answer for: B 5

Question 8 4.5 out of 4.5 points Mrs. Montoya, dispatcher at Acme Bus Company, needs to pull two of five school buses off their regularly scheduled early morning routes for an emergency inspection, following a series of minor, non-critical mechanical failures. Replacement coaches will be sent, but with a slight delay. She randomly chooses two of the buses for this urgent attention. The buses all operate in the same town and are designated by the neighborhood they serve: Ash (A), Birchwood (B), Crabapple (C), Dogwood (D), and Elm (E). She also wonders how many students, on average, her decision will inconvenience. Bus A B € D E Number of Students 24 30 21 18 27 To assist Mrs. Montoya, select a simple random sample of buses, n, from the population of size, N. If the first sample is AB, what are the others? Write them symbolically and alphabetically using the capitalized first letter of each location: [A] [B] [C] [D] [E] [F] [G] [H] [1] Specified Answer for: A AC Specified Answer for: B AD Specified Answer for: C AE Specified Answer for: D BC Specified Answer for: E BD Specified Answer for: F BE Specified Answer for: G CcD Specified Answer for: H CE Specified Answer for: | DE Question 9 1 out of 1 points For this example about the buses being selected in pairs by Mrs. Montoya from a total of five buses, compute offline each possible sample mean, and then compute the grand mean or mean of all the possible sample means. Selected Answer: 24 Question 10 1 out of 1 points For this example about the Acme Bus Company buses, compute the population mean for the original data values. Selected Answer: 24

Question 11 0.5 out of 0.5 points For this example, the grand mean does not equal the population mean. Agree or Disagree? Selected Answer: Disagree Question 12 0.5 out of 0.5 points The expected value or mean of the sampling distribution of xis pu-. X Agree or disagree? Selected Answer: Agree Question 13 0.5 out of 0.5 points The mean of all the possible sample means (;) that could be taken from a population is sometimes referred to as the grand mean, or; (x-double-bar, or x with a double overstrike). Agree or disagree? Selected Answer: Agree Question 14 0.5 out of 0.5 points The grand mean; doe not equal the mean of the original population. In other words, ; FuU Agree or disagree? Selected Answer: Disagree Question 15 0.5 out of 0.5 points The spread of the sampling distribution of x decreases as sample size, n, increases and vice-versa, as indicated by the formula: o-= / [ X Agree or disagree? Selected Answer: Agree Question 16 0.5 out of 0.5 points The standard deviation of the sampling distribution of x is also referred to as the standard error of the mean. Agree or disagree? Selected Answer: Agree Question 17 1 out of 1 points According to the Central Limit Theorem, in selecting simple random samples of size, n, from a population with mean, u, and standard deviation, o, the sampling distribution of approaches a normal probability distribution with mean, y, and standard deviation, ’7/ \/; , as the sample size becomes infinitely large. Agree or disagree? Selected Answer: Agree

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W#4 NOTE Sampling Distribution

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