(a) H: > 110 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. O No, is not a parameter. No, is not a statistic. O There is not enough information to say. (b) H: X = 45 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, is not a parameter. O No, X is not a statistic. O There is not enough information to say. (c) H:s ≤ 0.30 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. No, s is not a statistic. O There is not enough information to say.

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For each of the following assertions, state whether it is a legitimate statistical hypothesis and why.
(a) H: > 110
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.
O No, a is not a parameter.
No, σ is not a statistic.
O There is not enough information to say.
(b) H: X = 45
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, X is not a parameter.
O No, X is not a statistic.
There is not enough information to say.
(c) Hiss 0.30
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.
O No, s is not a parameter.
O No, s is not a statistic.
O There is not enough information to say.
1
(d) H: ¹ <1
Yes, this statement is an assertion about the value of parameters from two populations.
Yes, this statement is an assertion about the value of statistics from two populations.
No, ₁ and ₂ are not parameters.
2
No, ₁ and ₂ are not statistics.
2
O There is not enough information to say.
(e) H: X-Y = 4
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.
No, X and Y are not parameters.
O No, X and Y are not statistics.
O There is not enough information to say.
(f) H: λ ≤ 0.01, where is the parameter of an exponential distribution used to model component lifetime
Yes, this statement is an assertion about the value of a parameter.
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.
No, the signs s and > cannot be used for a hypothesis.
O There is not enough information to say.
Transcribed Image Text:For each of the following assertions, state whether it is a legitimate statistical hypothesis and why. (a) H: > 110 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. O No, a is not a parameter. No, σ is not a statistic. O There is not enough information to say. (b) H: X = 45 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, X is not a parameter. O No, X is not a statistic. There is not enough information to say. (c) Hiss 0.30 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. O No, s is not a parameter. O No, s is not a statistic. O There is not enough information to say. 1 (d) H: ¹ <1 Yes, this statement is an assertion about the value of parameters from two populations. Yes, this statement is an assertion about the value of statistics from two populations. No, ₁ and ₂ are not parameters. 2 No, ₁ and ₂ are not statistics. 2 O There is not enough information to say. (e) H: X-Y = 4 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. No, X and Y are not parameters. O No, X and Y are not statistics. O There is not enough information to say. (f) H: λ ≤ 0.01, where is the parameter of an exponential distribution used to model component lifetime Yes, this statement is an assertion about the value of a parameter. 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. No, the signs s and > cannot be used for a hypothesis. O There is not enough information to say.
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