ALEKS 360 ESSENT. STAT ACCESS CARD
2nd Edition
ISBN: 9781266836428
Author: Navidi
Publisher: MCG
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Chapter 5.1, Problem 60E
a.
To determine
Find the
b.
To determine
Find the
c.
To determine
Find the standard deviation.
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1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a
random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution
depend on the mean and variance of the underlying random variables (i.e., the population
mean and variance). The approximation can be written to emphasize this, using the expec-
tation and variance of one of the random variables in the sample instead of the parameters
μ, 02:
YNEY,
· (1
(EY,, varyi
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For the following population distributions f, write the approximate distribution of the sample
mean.
(a) Exponential with rate ẞ: f(y) = ß exp{−ßy}
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(b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ }
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(c) Poisson with rate λ: P(Y = y) = exp(-\}
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y!
y²
2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the
CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and
the standard normal CDF Fz(·).
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Chapter 5 Solutions
ALEKS 360 ESSENT. STAT ACCESS CARD
Ch. 5.1 - 1. A family has three children. If the genders of...Ch. 5.1 - 2. Someone says that the following table shows the...Ch. 5.1 - Prob. 3CYUCh. 5.1 - 4. Following is the probability distribution of a...Ch. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - 8. Following is the probability distribution for...Ch. 5.1 - Prob. 9ECh. 5.1 - In Exercises 9–12, fill in each blank with the...
Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - In Exercises 17–26, determine whether the random...Ch. 5.1 - Prob. 19ECh. 5.1 - In Exercises 17–26, determine whether the random...Ch. 5.1 - Prob. 21ECh. 5.1 - In Exercises 17–26, determine whether the random...Ch. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - Prob. 29ECh. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - Prob. 31ECh. 5.1 - In Exercises 27–32, determine whether the table...Ch. 5.1 - Prob. 33ECh. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - Prob. 35ECh. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - In Exercises 33–38, compute the mean and standard...Ch. 5.1 - Prob. 39ECh. 5.1 - 40. Fill in the missing value so that the...Ch. 5.1 - 41. Put some air in your tires: Let X represent...Ch. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - 48. Pain: The General Social Survey asked 827...Ch. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - 51. Lottery: In the New York State Numbers...Ch. 5.1 - 52. Lottery: In the New York State Numbers...Ch. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.2 - 1. Determine whether X is a binomial random...Ch. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5ECh. 5.2 - In Exercises 5–7, fill in each blank with the...Ch. 5.2 - Prob. 7ECh. 5.2 - In Exercises 8–10, determine whether the statement...Ch. 5.2 - Prob. 9ECh. 5.2 - In Exercises 8–10, determine whether the statement...Ch. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - In Exercises 11–16, determine whether the random...Ch. 5.2 - Prob. 15ECh. 5.2 - In Exercises 11–16, determine whether the random...Ch. 5.2 - Prob. 17ECh. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - Prob. 19ECh. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - In Exercises 17–26, determine the indicated...Ch. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - 28. Take another guess: A student takes a...Ch. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - 32. What should I buy? A study conducted by the...Ch. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - 38. Stress at work: In a poll conducted by the...Ch. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - 9. At a cell phone battery plant, 5% of cell phone...Ch. 5 - Prob. 10CQCh. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - 6. Lottery tickets: Refer to Exercise 5. What is...Ch. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 1WAICh. 5 - Prob. 2WAICh. 5 - Prob. 3WAICh. 5 - Prob. 4WAICh. 5 - Prob. 5WAICh. 5 - Prob. 6WAICh. 5 - One of the most surprising probability...
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