题目
BTRY3010/BTRY5010/STSCI2200/STSCI5200 Lecture #22 ( Pages 104 - 107 )
简答题
An investigator wanted to construct a 92% confidence interval estimate for the difference of the means of population A and population B. He took a simple random samples from each population, made the histograms above, and computed a confidence interval of ( 5.8 , 15.7 ) according to the methods indicated in class. What was the ( approximate ) probability that the investigator's procedure would produce an interval that would capture/surround the difference of the means of the given populations? If it is not possible to answer this, enter -1. c07.p067.q008
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思路分析
The problem asks for the approximate probability that the investigator's confidence interval would capture the true difference in means between populations A and B. Since the interval was constructed as a 92% confidence interval, by definition the procedure has a 0.92 (or 92%) long-run probability......Login to view full explanation登录即可查看完整答案
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类似问题
Exhibit 10-3 A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. Final examination scores from a random sample of students enrolled today and from a random sample of students enrolled five years ago were selected. You are given the following information. Today Five Years Ago 82 88 σ2 112.5 54 n 45 36 Refer to Exhibit 10-3. The standard error of is _____.
A random sample was taken from Population1 using the following code. ################ rbeta(150,shape1=1,shape2=1) ################ The sample from Population 1 ############################ 0.73, 0.43, 0.8, 0.06, 0.37, 0.79, 0.31, 0.23, 0.28, 0.62, 0.07, 0.35, 0.73, 0.99, 0.13, 0.52, 0.51, 0.17, 0.21, 0.28, 0.18, 0.22, 0.47, 0.98, 0.27, 0.52, 0.56, 0.93, 0.68, 0.34, 0.09, 0.54, 0.35, 0.52, 0.92, 0.66, 0.65, 0.52, 0.14, 0.22, 0.57, 0.6, 0.24, 0.29, 0.75, 0.76, 0.36, 0.22, 0.54, 0.19, 0.35, 0.73, 0.37, 0.87, 0.08, 0.02, 0.64, 0.85, 0.28, 0.55, 0.01, 0.52, 0.25, 0.49, 0.77, 0.43, 0.96, 0.07, 0.44, 0.01, 0.32, 0.76, 0.27, 0.82, 0.9, 0.39, 0.67, 0.5, 0.47, 0.72, 0.72, 0.55, 0.12, 0.94, 0.28, 0.37, 0.14, 0.62, 0.36, 0.39, 0.71, 0.11, 0.12, 0.24, 0.06, 0.29, 0.9, 0.72, 0.89, 0.68, 0.73, 0.48, 0.82, 0.44, 0.74, 0.04, 0.24, 0.18, 0.35, 0.05, 0.74, 0.68, 0.08, 0.74, 0.58, 0.65, 0.63, 0.61, 0.31, 0.57, 0.69, 0.09, 0.58, 0.57, 0.54, 0.24, 0.53, 0.52, 0.75, 0.63, 0.48, 0.72, 0.3, 0.94, 0.38, 0.94, 0.62, 0.7, 0.74, 0.52, 0.97, 0.12, 0.95, 0.68, 0.87, 0.77, 0.02, 0.49, 0.9, 0.95 ########################################################################## A random sample was taken from Population1 using the following code. ################ runif(50,min=0,max=1) ################ The sample from Population 2 ############################ 0.18, 0.7, 0.57, 0.17, 0.94, 0.94, 0.13, 0.83, 0.47, 0.55, 0.55, 0.24, 0.76, 0.18, 0.41, 0.85, 0.98, 0.23, 0.44, 0.07, 0.66, 0.39, 0.84, 0.15, 0.35, 0.49, 0.15, 0.36, 0.96, 0.13, 0.01, 0.16, 0.81, 0.87, 0.51, 0.63, 0.84, 0.28, 0.67, 0.15, 0.98, 0.3, 0.12, 0.16, 0.94, 0.79, 0.97, 0.35, 0.5, 0.81 ########################################################################## These samples have been checked, and they meet the necessary assumptions for constructing a 96% confidence interval for the difference between the means of these population. ( 1 - 2 ) What is the upper bound for this confidence interval? c07.p068.q001
A random sample was taken from Population1 using the following code. ################ rnorm( 150 , rbeta(1,shape1=1,shape2=1) , sd = 5 ) ################ The sample from Population 1 ############################ 1.74, 8.75, -4.84, 0.41, 1.48, 4.35, -0.38, 10.74, 0.12, 2.9, 5.72, -1.15, -4.38, 9.73, -10.74, 5.21, 0.99, 5.88, 2.98, 11.27, -5.18, 8.76, 10.59, 0.84, -11.44, 3.2, -2.17, 4.78, 2.26, 4.51, 2.41, 6.2, -0.61, -3.07, -2.16, -7.81, -3.7, -1.98, -0.42, -1.1, -8.98, -3.39, 10.33, 3.93, 10.77, -0.71, 0.36, -0.11, -5.18, -3.38, 11.15, -2, 7.19, -4.42, -9.01, -0.8, 5.49, 6.51, 9.17, -8.13, 10.97, -2.7, 1.61, 3.35, -3.28, -9.18, -1.58, 1.24, -3.66, -3.79, 2.47, 0.11, 2.99, 0.55, -3.72, 7.33, 4.67, 6.08, -6.24, 5.8, -7.66, -1.85, -6.05, -10.22, 9.93, -2.45, -0.61, -1.12, 2.75, 8.82, 9.22, -5.1, -5.98, -6.75, -5.45, 10.61, 0.85, -3.4, -2.19, 6.19, 2.12, -0.76, -2.93, -3.5, 11.06, 5.51, 10.86, -1.29, -0.94, -4.32, -0.44, 3.17, 7.61, 3.64, 3.1, 6.97, 6.55, 1.35, -3.1, 7.02, 1.51, 9.37, -1.34, -4.41, 3.5, -2.53, 4.01, -7.8, -7.9, 4.26, 2.47, 5.17, -9.27, 6.88, 6.82, 5.98, 4.75, 11.37, -6.45, -2.1, 2.86, -3.22, 1.24, 4.55, -2.45, 4.1, 3.56, -3.22, -4.17, 5.69 ########################################################################## A random sample was taken from Population1 using the following code. ################ rnorm( 100 , runif(50,min=0,max=1) , sd = 5 ) ################ The sample from Population 2 ############################ -12.07, 3.09, -2.41, 4.13, 2.39, 4.64, 1.72, 6.21, -0.95, -3.33, -2.43, -8.39, -3.75, -2.61, -0.83, -1.06, -8.82, -3.98, 9.96, 3.19, 10.62, -1.14, 0.38, -0.77, -5.65, -3.7, 10.48, -2.45, 7.34, -5.11, -9.82, -1.45, 5.49, 6.57, 8.87, -8.31, 11, -3.23, 1.46, 2.68, -3.12, -9.7, -2.28, 0.58, -3.53, -3.81, 2.63, -0.36, 2.68, 0.54, -4.35, 7.22, 4.43, 5.43, -6.11, 5.92, -8.35, -1.83, -6.39, -10.49, 9.66, -3.03, -0.66, -1.75, 2.34, 8.86, 9.38, -5.69, -6.35, -7.49, -5.6, 10.18, 0.88, -4.06, -2.66, 5.86, 1.45, -1.21, -2.79, -4.18, 10.25, 4.86, 10.85, -1.24, -1.24, -4.51, -0.41, 2.64, 7.46, 2.97, 3.26, 6.45, 5.85, 0.7, -2.97, 7, 1.67, 8.9, -1.65, -4.41 ########################################################################## These samples have been checked, and they meet the necessary assumptions for constructing a 95% confidence interval for the difference between the means of these population. ( 1 - 2 ) What is the lower bound for this confidence interval? c07.p068.q007.2100
A random sample was taken from Population1 using the following code. ################ rnorm( 150 , rbeta(1,shape1=1,shape2=1) , sd = 5 ) ################ The sample from Population 1 ############################ 1.65, -3.44, 8.71, 2.38, -3.37, 3.17, 4.43, 3.61, -0.79, 8.29, 2.68, -2.37, -10.34, 6.36, 0.51, 0.65, 5.45, 4.84, 3.7, 5.33, 4.65, 1.11, -9.21, 3.83, 0.45, -0.04, -6.62, -1.66, 2.82, 7.53, 0.22, 2.67, 0.47, -6.15, -1.34, -1.24, 0.44, 6.23, 4.55, -0.09, -0.53, 4.22, 3.52, -2.71, -2.8, 2.56, 4.58, 0.17, 5.14, 2.73, -2.33, 2.44, -4.91, 7.9, 10.64, -1.1, -4.49, 3.58, 0.06, 12.74, 0.54, 4.18, 0.87, -2.98, 1.68, -8.29, 8.06, 1.5, 11.6, 3.11, -2.82, 3.79, -3.94, -5.53, 2.19, -1.48, 0.74, 1.11, -2.21, -2.11, 0.06, 6.62, -6.88, 3.7, 2.4, 6.05, -0.79, 2.58, 2.07, -1.98, 6.77, 6.54, 4.24, 8.67, 3.53, -5.65, -2.13, -5.39, -1.63, -2.37, 0.95, -3.82, 1.52, -2.54, 9.57, 4.32, 5.29, 2.66, 9.15, -2.44, -1.57, 7.9, -2.52, -0.3, -1.23, -0.87, -0.66, 3.21, -0.15, -1.8, 7.45, -0.34, -0.16, 0.23, 4.3, 0.37, 0.55, -2.67, -0.89, 1.04, -2.21, 3.39, -6.86, 2.27, -6.95, -0.77, -1.91, -2.53, 0.45, -8.84, 6.62, -7.59, -1.58, -4.85, -3.02, 11.17, 0.82, -5.7, -7.47, 2.99 ########################################################################## A random sample was taken from Population1 using the following code. ################ rnorm( 100 , runif(50,min=0,max=1) , sd = 5 ) ################ The sample from Population 2 ############################ -12.07, 3.09, -2.41, 4.13, 2.39, 4.64, 1.72, 6.21, -0.95, -3.33, -2.43, -8.39, -3.75, -2.61, -0.83, -1.06, -8.82, -3.98, 9.96, 3.19, 10.62, -1.14, 0.38, -0.77, -5.65, -3.7, 10.48, -2.45, 7.34, -5.11, -9.82, -1.45, 5.49, 6.57, 8.87, -8.31, 11, -3.23, 1.46, 2.68, -3.12, -9.7, -2.28, 0.58, -3.53, -3.81, 2.63, -0.36, 2.68, 0.54, -4.35, 7.22, 4.43, 5.43, -6.11, 5.92, -8.35, -1.83, -6.39, -10.49, 9.66, -3.03, -0.66, -1.75, 2.34, 8.86, 9.38, -5.69, -6.35, -7.49, -5.6, 10.18, 0.88, -4.06, -2.66, 5.86, 1.45, -1.21, -2.79, -4.18, 10.25, 4.86, 10.85, -1.24, -1.24, -4.51, -0.41, 2.64, 7.46, 2.97, 3.26, 6.45, 5.85, 0.7, -2.97, 7, 1.67, 8.9, -1.65, -4.41 ########################################################################## These samples have been checked, and they meet the necessary assumptions for constructing a 95% confidence interval for the difference between the means of these population. ( 1 - 2 ) What is the upper bound for this confidence interval? c07.p068.q005.2100
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