For each of the following assertions, state whether it is a legitimate statistical hypothesis and why. (a) H: > 105 Yes, this statement is an assertion about the value of a parameter. O Yes, this statement is an assertion about the value of a statistic. O No, a is not a parameter. O No, is not a statistic. O There is not enough information to say. (b) H: 7 = 40 (d) H: O Yes, this statement is an assertion about the value of a parameter. O Yes, this statement is an assertion about the value of a statistic. No, 2 is not a parameter. O No, is not a statistic. O There is not enough information to say. (c) H:s s 0.80 O Yes, this statement is an assertion about the value of a parameter. O Yes, this statement is an assertion about the value of a statistic. No, s is not a parameter. O No, s is not a statistic. O There is not enough information to say. 91 O Yes, this statement is an assertion about the value of parameters from two populations. O Yes, this statement is an assertion about the value of statistics from two populations. O No, ₂ and ₂ are not parameters. O No, ₂ and ₂ are not statistics. O There is not enough information to say. (e) H:X-Y=5 O Yes, this statement is an assertion about the value of parameters from two populations. O Yes, this statement is an assertion about the value of statistics from two populations. O No, X and are not parameters. O No, X and are not statistics. O There is not enough information to say. (1) H: À ≤ 0.01, where is the parameter of an exponential distribution used to model component lifetime O Yes, this statement is an assertion about the value of a parameter. O No, this statement is an assertion about the value of a parameter instead of a statistic. O No, this statement is an assertion about the value of a parameter from an exponential distribution. O No, the signs s and 2 cannot be used for a hypothesis. O There is not enough information to say.
For each of the following assertions, state whether it is a legitimate statistical hypothesis and why. (a) H: > 105 Yes, this statement is an assertion about the value of a parameter. O Yes, this statement is an assertion about the value of a statistic. O No, a is not a parameter. O No, is not a statistic. O There is not enough information to say. (b) H: 7 = 40 (d) H: O Yes, this statement is an assertion about the value of a parameter. O Yes, this statement is an assertion about the value of a statistic. No, 2 is not a parameter. O No, is not a statistic. O There is not enough information to say. (c) H:s s 0.80 O Yes, this statement is an assertion about the value of a parameter. O Yes, this statement is an assertion about the value of a statistic. No, s is not a parameter. O No, s is not a statistic. O There is not enough information to say. 91 O Yes, this statement is an assertion about the value of parameters from two populations. O Yes, this statement is an assertion about the value of statistics from two populations. O No, ₂ and ₂ are not parameters. O No, ₂ and ₂ are not statistics. O There is not enough information to say. (e) H:X-Y=5 O Yes, this statement is an assertion about the value of parameters from two populations. O Yes, this statement is an assertion about the value of statistics from two populations. O No, X and are not parameters. O No, X and are not statistics. O There is not enough information to say. (1) H: À ≤ 0.01, where is the parameter of an exponential distribution used to model component lifetime O Yes, this statement is an assertion about the value of a parameter. O No, this statement is an assertion about the value of a parameter instead of a statistic. O No, this statement is an assertion about the value of a parameter from an exponential distribution. O No, the signs s and 2 cannot be used for a hypothesis. O There is not enough information to say.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:For each of the following assertions, state whether it is a legitimate statistical hypothesis and why.
(a) H: > 105
Ⓒ Yes, this statement is an assertion about the value of a parameter.
O Yes, this statement is an assertion about the value of a statistic.
O No, is not a parameter.
O No, is not a statistic.
O There is not enough information to say.
(b) H: R=40
O Yes, this statement is an assertion about the value of a parameter.
O Yes, this statement is an assertion about the value of a statistic.
Ⓒ No, 2 is not a parameter.
O No, x is not a statistic.
O There is not enough information to say.
(c) H: ss 0.80
(d) H:
O Yes, this statement is an assertion about the value of a parameter.
Yes, this statement is an assertion about the value of a statistic.
No, s is not a parameter.
O No, s is not a statistic.
O There is not enough information to say.
< 1
%2
O Yes, this statement is an assertion about the value of parameters from two populations.
O Yes, this statement is an assertion about the value of statistics from two populations.
O No, ₁ and ₂ are not parameters.
O No, ₁ and ₂ are not statistics.
2
O There is not enough information to say.
(e) H: X-Y = 5
O Yes, this statement is an assertion about the value of parameters from two populations.
O Yes, this statement is an assertion about the value of statistics from two populations.
O No, X and Y are not parameters.
O No, X and Y are not statistics.
O There is not enough information to say.
(r) H: A ≤ 0.01, where is the parameter of an exponential distribution used to model component lifetime
O Yes, this statement is an assertion about the value of a parameter.
O No, this statement is an assertion about the value of a parameter instead of a statistic.
O No, this statement is an assertion about the value of a parameter from an exponential distribution.
O No, the signs s and 2 cannot be used for a hypothesis.
O There is not enough information to say.
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