Q1 Getting Confident with Confidence Intervals Our blood oxygen level is becoming increasingly important to us as a metric for early detection of COVID-19 infection. The blood oxygen levels of a healthy person (in %) are approximately normally distributed with unknown mean 0 and a standard deviation of 3%. A group of six random healthy people come in so doctors could measure their blood oxygen levels to get an estimate for the true mean. The doctor takes readings of each of the six patients and found that the average (blood oxygen level from the six readings) was 88.2%. What's a 90% confidence interval for the true mean blood oxygen level (call it 0)? Let's find out together!

Operations Research : Applications and Algorithms
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ISBN:9780534380588
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Q1 Getting Confident with Confidence Intervals
Our blood oxygen level is becoming increasingly important to us as a metric for early detection
of COVID-19 infection. The blood oxygen levels of a healthy person (in %) are approximately
normally distributed with unknown mean 0 and a standard deviation of 3%.
A group of six random healthy people come in so doctors could measure their blood oxygen
levels to get an estimate for the true mean. The doctor takes readings of each of the six patients
and found that the average (blood oxygen level from the six readings) was 88.2%.
What's a 90% confidence interval for the true mean blood oxygen level (call it 0)? Let's find out
together!
Q1.1 Theta hat
What is 0? (Recall the maximum likelihood estimator for the mean of a Normal from 7.1).
Enter your answer as a decimal number with 3 decimal places and a leading zero (e.g. 0.312).
Hint: You may not have to do any computation here!
88.700
Transcribed Image Text:Q1 Getting Confident with Confidence Intervals Our blood oxygen level is becoming increasingly important to us as a metric for early detection of COVID-19 infection. The blood oxygen levels of a healthy person (in %) are approximately normally distributed with unknown mean 0 and a standard deviation of 3%. A group of six random healthy people come in so doctors could measure their blood oxygen levels to get an estimate for the true mean. The doctor takes readings of each of the six patients and found that the average (blood oxygen level from the six readings) was 88.2%. What's a 90% confidence interval for the true mean blood oxygen level (call it 0)? Let's find out together! Q1.1 Theta hat What is 0? (Recall the maximum likelihood estimator for the mean of a Normal from 7.1). Enter your answer as a decimal number with 3 decimal places and a leading zero (e.g. 0.312). Hint: You may not have to do any computation here! 88.700
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