Which is higher? In each part below, there is a value of interest and two scenarios (I and II). For each part, report if the value of interest is larger under scenario I, scenario II, or whether the value is equal under the scenarios.
(a) The standard error of x‾ when =120 and (I) =25 or (II) =125.
(b) The margin of error of a confidence interval when the confidence level is (I) 90% or (II) 80%.
(c) The p-value for a Z-statistic of 2.5 when (I) =500 or (II) =1000.
(d) The probability of making a Type 2 Error when the alternative hypothesis is true and the significance level is (I) 0.05 or (II) 0.10 .

Question

06-06-2024
Physics

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Which is higher? In each part below, there is a value of interest and two scenarios (I and II). For each part, report if the value of interest is larger under scenario I, scenario II, or whether the value is equal under the scenarios.
(a) The standard error of x‾ when =120 and (I) =25 or (II) =125.
(b) The margin of error of a confidence interval when the confidence level is (I) 90% or (II) 80%.
(c) The p-value for a Z-statistic of 2.5 when (I) =500 or (II) =1000.
(d) The probability of making a Type 2 Error when the alternative hypothesis is true and the significance level is (I) 0.05 or (II) 0.10 .

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