Question: Isabelle was curious if sample maximum was an unbiased estimator of population maximum. She started with a large normally distributed population of test scores whose

Isabelle 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 summarized in the dotplot below, where each dot represents the maximum score from a sample of \[6\] tests. A dot plot for a sample maximum has a scale from 75 to 100. The number of dots for each is as follows. 78, 1. 79, 1. 80, 3. 81, 2. 82, 5. 83, 2. 84, 2. 85, 2. 86, 3. 87, 3. 88, 1. 89, 4. 90, 2. 91, 1. 92, 2. 93, 3. 94, 3. 94, 3. 95, 0. 96, 0. 97. 1. \[75\] \[80\] \[85\] \[90\] \[95\] \[100\] Based on these results, does sample maximum appear to be a biased or unbiased estimator of population maximum? Hint: The population maximum is \[99\]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!