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how long he Question 5 (13 marks) On his way to work in the mornings, Damjan...
4. (10 marks) Classify each statement by circling TRUE or FALSE. i) A scatterplot is not...
4. (10 marks) Classify each statement by circling TRUE or FALSE. i) A scatterplot is not an attribute. TRUE FALSE ii) An unbiased estimator is always preferable to a biased estimator. TRUE FALSE iii) The observed significance level measures evidence against the null hypothesis. TRUE FALSE iv) The Horvitz-Thompson estimator is unbiased given a probability sampling design. TRUE FALSE v) When sampling with replacement the sample average is a Horvitz-Thompson estimate. TRUE FALSE vi) We can quantify the sampling error...
Single Sample t-Test Coach Brown is training his runners for an upcoming race, but he is...
Single Sample t-Test Coach Brown is training his runners for an upcoming race, but he is concerned about their pace. He takes down sample times from his top 7 runners to compare it to his all-time standard race speed of 7.9 minutes per kilometer (μ). The sample times from his runners were 8.55 minutes per kilometer (M) with a standard deviation estimate of 0.78 (s). Based on this data, complete the six steps of hypothesis testing given that our research...
Single Sample t-Test Coach Brown is training his runners for an upcoming race, but he is...
Single Sample t-Test Coach Brown is training his runners for an upcoming race, but he is concerned about their pace. He takes down sample times from his top 7 runners to compare it to his all-time standard race speed of 7.9 minutes per kilometer (μ). The sample times from his runners were 8.55 minutes per kilometer (M) with a standard deviation estimate of 0.78 (s). Based on this data, complete the six steps of hypothesis testing given that our research...
Statistic Q1(a) Mr. Sweetheart likes sugar in his hot tea. He buys sugar packets from a...
Statistic Q1(a) Mr. Sweetheart likes sugar in his hot tea. He buys sugar packets from a local grocery store. Suppose the amount of sugar in a packet follows a normal distribution with mean 2.17 grams and standard deviation 0.08 grams. The amount of sugar in a package should be between 2.13 and 2.21 grams. Otherwise, a packet is considered to be defective. i. What is the probability that a randomly selected packet is defective? ii. Three sugar packets are chosen...
3. [25 marks] Some female psychology students were investigating whether intelligence depends on brain size. They each t...
3. [25 marks] Some female psychology students were investigating
whether intelligence depends on brain size. They each took a
standard test that measured verbal IQ and also underwent an MRI
scan to measure their brain size. The resulting data is below, file
named IQBrain.csv.
IQ
BrainV
132
816.932
132
951.545
90
928.799
136
991.305
90
854.258
129
833.868
120
856.472
100
878.897
71
865.363
132
852.244
112
808.02
129
790.619
86
831.772
90
798.612
83
793.549
126
866.662
126
857.782...
3. [25 marks] Some female psychology students were investigating whether intelligence depends on brain size. They each took a standard test that measured verbal IQ and also underwent an MRI scan to me...
3. [25 marks] Some female psychology students were investigating
whether intelligence depends on brain size. They each took a
standard test that measured verbal IQ and also underwent an MRI
scan to measure their brain size. The resulting data is below, file
named IQBrain.csv.
IQ
BrainV
132
816.932
132
951.545
90
928.799
136
991.305
90
854.258
129
833.868
120
856.472
100
878.897
71
865.363
132
852.244
112
808.02
129
790.619
86
831.772
90
798.612
83
793.549
126
866.662
126
857.782...
4. (10 marks) Classify each statement by circling TRUE or FALSE. i) A scatterplot is not an attribute. TRUE FALSE ii) An unbiased estimator is always preferable to a biased estimator. TRUE FALSE iii) The observed significance level measures evidence against the null hypothesis. TRUE FALSE iv) The Horvitz-Thompson estimator is unbiased given a probability sampling design. TRUE FALSE v) When sampling with replacement the sample average is a Horvitz-Thompson estimate. TRUE FALSE vi) We can quantify the sampling error...
3. [25 marks] Some female psychology students were investigating
whether intelligence depends on brain size. They each took a
standard test that measured verbal IQ and also underwent an MRI
scan to measure their brain size. The resulting data is below, file
named IQBrain.csv.
IQ
BrainV
132
816.932
132
951.545
90
928.799
136
991.305
90
854.258
129
833.868
120
856.472
100
878.897
71
865.363
132
852.244
112
808.02
129
790.619
86
831.772
90
798.612
83
793.549
126
866.662
126
857.782...
3. [25 marks] Some female psychology students were investigating
whether intelligence depends on brain size. They each took a
standard test that measured verbal IQ and also underwent an MRI
scan to measure their brain size. The resulting data is below, file
named IQBrain.csv.
IQ
BrainV
132
816.932
132
951.545
90
928.799
136
991.305
90
854.258
129
833.868
120
856.472
100
878.897
71
865.363
132
852.244
112
808.02
129
790.619
86
831.772
90
798.612
83
793.549
126
866.662
126
857.782...
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