2 Thembi was curious if sample maximum was an unbiased estimator of population maximum. She started with a large normally distributed population of test scores whose maximum was 99 points. She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those tests and repeated this process for a total of 40 trials. Her results are summarised in the dotplot below wh each dot represents the maximum score from a sample of 6 tests

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1.1 The dotplots below show an approximation to the sampling distribution for three
different estimators of the same population parameter
*+++++++++*+++++
If the actual value of the population parameter is 4, which dotplot displays the estimator
with high bias and low variability?
Statistic A
b. Statistic B
a.
c.Statistic C
Transcribed Image Text:1.1 The dotplots below show an approximation to the sampling distribution for three different estimators of the same population parameter *+++++++++*+++++ If the actual value of the population parameter is 4, which dotplot displays the estimator with high bias and low variability? Statistic A b. Statistic B a. c.Statistic C
1.2 Thembi was curious if sample maximum was an unblased estimator of population
maximum. She started with a large normally distributed population of test scores
whose maximum was 99 points. She then took a random sample of 6 tests and
calculated the maximum of the sample. She replaced those tests and repeated this
process for a total of 40 trials. Her results are summarised in the dotplot below where
each dot represents the maximum score from a sample of 6 tests
*...** ... **.
75
80
85
95
Sample maximum
Based on these results, does the sample maximum appear to be a biased or unblased
estimator of population maximum. Hint The population maximum is 99. Select an
option below.
a. Sample maximum appears to be a biased estimator since it consistently
underestimated the population maximum
b. Sample maximum appears to be a biased estimator since it consistently
overestimated the population maximum
C. Samplemaximum appears to be.an unbiased estimator of the population maximum
Transcribed Image Text:1.2 Thembi was curious if sample maximum was an unblased estimator of population maximum. She started with a large normally distributed population of test scores whose maximum was 99 points. She then took a random sample of 6 tests and calculated the maximum of the sample. She replaced those tests and repeated this process for a total of 40 trials. Her results are summarised in the dotplot below where each dot represents the maximum score from a sample of 6 tests *...** ... **. 75 80 85 95 Sample maximum Based on these results, does the sample maximum appear to be a biased or unblased estimator of population maximum. Hint The population maximum is 99. Select an option below. a. Sample maximum appears to be a biased estimator since it consistently underestimated the population maximum b. Sample maximum appears to be a biased estimator since it consistently overestimated the population maximum C. Samplemaximum appears to be.an unbiased estimator of the population maximum
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