The next five questions are related to the following scenario:The mean LDL cholesterol concentration among adults in a reference population is 125 mg/dL, with a population standard deviation of 30 mg/dL. A sample of 36 adults participating in a nutrition intervention has a mean LDL cholesterol concentration of 113 mg/dL.

Write a null (H₀) and alternative (Hₐ) hypothesis.(You do not need to worry about tying subscripts; you can type H0 and Ha for null and alternative hypothesis)

Briefly explain what the “normal approximation to the binomial” means.(~1-2 sentences)

In hypothesis testing, what is the critical value?

What is a probability mass function?

Select the graphic representation that best matches each description. Each option may be used once, more than once, or not at all.

Calculate the standard error of the sample proportion. Show your setup.

A research study collects participants’ fasting triglyceride (in mg/dL). The distribution is right-skewed with several extreme values. Which summary statistics should be reported?

The null and alternative hypotheses are written to pertain to sample estimates

The two main branches of statistics are: