Q) To provide concrete illustrations of the sampling distribution of the sample mean. For that reason, the populations considered are unrealistically small. In each exercise, assume that sampling is without replacement.NBA Champs. The winner of the 2008–2009 National Basketball Association (NBA) championship was the Los Angeles Lakers. One starting lineup for that team is shown inthe following table.PlayerPositionHeight (in.)Trevor Ariza (T)Forward80Kobe Bryant (K)Guard78Andrew Bynum(A)Center84Derek Fisher (D)Guard73Pau Gaosl (P)Forward84Find the population mean Height of the five players.For Samples of size 2, construct a table. Use the letter in parentheses after each player’s name to represent each player.Draw a dotplot for the sampling distribution of the sample mean for samples of size 2.For a random sample of size 2, what is the chance that the sample mean will equal the population mean.

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 6E

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Q) To provide concrete illustrations of the sampling distribution of the sample mean. For that reason, the populations considered are unrealistically small. In each exercise, assume that sampling is without replacement.

NBA Champs. The winner of the 2008–2009 National Basketball Association (NBA) championship was the Los Angeles Lakers. One starting lineup for that team is shown in

the following table.

Player	Position	Height (in.)
Trevor Ariza (T)	Forward	80
Kobe Bryant (K)	Guard	78
Andrew Bynum(A)	Center	84
Derek Fisher (D)	Guard	73
Pau Gaosl (P)	Forward	84

Find the population mean Height of the five players.
For Samples of size 2, construct a table. Use the letter in parentheses after each player’s name to represent each player.
Draw a dotplot for the sampling distribution of the sample mean for samples of size 2.
For a random sample of size 2, what is the chance that the sample mean will equal the population mean.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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