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Concept explainers
(a)
To find: The given variable is a statistic or parameter.
(a)
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Answer to Problem 9.1E
The value is a statistic.
Explanation of Solution
Given information:
The value of 72% that is calculated from a sample of 1000 adults in the country.
Concept used:
The whole collection or group of all the elements is known as the population. The sample is the group of elements collected from the population and has similar characteristics to the population.
A population parameter is the calculated value that is calculated from the population. To estimate the population parameter, one can collect a sample, and the value calculated/measured from the sample is known as a statistic.
In this case, the results suggest that 72% of adults favor the penalty for drunk driving. This percentage value of 72% is calculated from the sample of 1000 adults. As this value is measured from the sample and is used to estimate the parameter, it is considered a statistic.
Hence, the value of 72% is a statistic.
(b)
To find: The given variable is a statistic or parameter.
(b)
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Answer to Problem 9.1E
The value is a parameter.
Explanation of Solution
Given information:
The
In this case, the results suggest that 35 years is the median age of country A. This median value of 35 is inferring the population. As this value is measured from all of the people of country A, it is considered a parameter.
Hence, the value of 35 years is a parameter.
(c)
To find: The given variable is a statistic or parameter.
(c)
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Answer to Problem 9.1E
The value is a statistic.
Explanation of Solution
Given information:
The difference between the mean height of men and women is 14 cm.
In this case, the results suggest that the mean difference in height is 14 cm for men and women. This difference value of 14 cm is calculated from the 20 males and 25 females sample. As this value is measured from the sample and is used to estimate the parameter, it is considered a statistic.
Hence, the value of 14 cm is a statistic.
(d)
To find: The given variable is a statistic or parameter.
(d)
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Answer to Problem 9.1E
The value is a parameter.
Explanation of Solution
Given information:
The 15 errors are observed by the proofreader from the complete script.
In this case, the results suggest that 15 errors are found by the proofreader in the complete script. The value 15 errors inferring the population. As this value is measured from the complete script, it is considered a parameter.
Hence, the value of 15 errors is a parameter.
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Chapter 9 Solutions
Mind on Statistics
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- Theorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x 1≤k≤n S√2), -S√2). P(max Sk>x) ≤ 2P(|S|>x- 1arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?arrow_forwardTheorem 1.4 (Chebyshev's inequality) (i) Suppose that Var X x)≤- x > 0. 2 (ii) If X1, X2,..., X, are independent with mean 0 and finite variances, then Στη Var Xe P(|Sn| > x)≤ x > 0. (iii) If, in addition, X1, X2, Xn are identically distributed, then nVar Xi P(|Sn> x) ≤ x > 0. x²arrow_forwardTheorem 2.5 (The Lyapounov inequality) For 0arrow_forwardTheorem 1.6 (The Kolmogorov inequality) Let X1, X2, Xn be independent random variables with mean 0 and suppose that Var Xk 0, P(max Sk>x) ≤ Isk≤n Σ-Var X In particular, if X1, X2,..., X, are identically distributed, then P(max Sx) ≤ Isk≤n nVar X₁ x2arrow_forwardTheorem 3.1 (The Cauchy-Schwarz inequality) Suppose that X and Y have finite variances. Then |EXYarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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