Cholesterol levels of adult males are approximately normally distributed with a mean of mg/dL and a listed variance of . Some researchers claim that the variance of cholesterol levels of adult males is less than . Suppose that we want to carry out a hypothesis test to see if the actual variance of cholesterol levels of adult males is less than . State the null hypothesis and the alternative hypothesis that we would use for this test.

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How do I enter a symbol for Statistics?

I have copied symbols from other sources and pasted them in a page in my computer. Then, when I need them, I copy and paste from that source.

You are also missing the numbers in your post.

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To enter a symbol for statistics, you can use the proper notation or format. For example:

1. Greek letters: Use the common symbols for Greek letters, such as µ for mu (population mean), σ for sigma (population standard deviation), and σ² for sigma-squared (population variance).

2. Mathematical symbols: Use the common symbols for mathematical operations, such as >= for greater than or equal to, <= for less than or equal to, = for equal to, ≠ for not equal to, > for greater than, and < for less than.

3. Subscripts: Use subscripts to denote specific populations or parameters, such as µ₁ for the mean of population 1, σ₁ for the standard deviation of population 1, σ²₁ for the variance of population 1.

Using these notations, I can now explain how to state the null and alternative hypotheses for the given hypothesis test.