Question 1204348
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I'll leave problem 1 for the student to do.
Hint: The value 1.96 is involved somehow.


I'll focus on part (a) of the 2nd question.


Since every value is in thousands, we can ignore the trailing triple zeros at the end. They'll cancel out anyway.
For example, think of $202,000 as just 202.


Let's compute the z score
z = (x - mu)/sigma
z = (202 - 165)/21
z = 1.76190476190477
z = 1.76
This is the approximate number of standard deviation units that we are above the mean.


In many Z tables, perhaps all of them(?), it's customary that the z scores are rounded to two decimal places.
Here's an example of one such table
<a href="https://www.ztable.net/">https://www.ztable.net/</a>


The calculations for parts (b) through (d) will follow the same template of steps.
Please let me know if you have questions about any of the steps shown above.
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