Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels. ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)
a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0

H₁: μd < 0

Step-by-step explanation:

Hello!

You have the hypothesis that drinking chocolate milk reduces the cholesterol level of people.

To one sample of 10 people, two variables were measured,

X₁: "Cholesterol level before drinking chocolate milk for two weeks"

X₂: "cholesterol level after drinking chocolate milk for two weeks"

The variable difference is "before minus after", symbolized: Xd= X₁ - X₂

If the consumption of chocolate milk reduces cholesterol levels, the levels measured for X₂ should be smaller than the measures of X₁, therefore, the difference between each pair of values should be negative as well as their population mean. Symbolically: μd < 0

Then the hypotheses are determined as:

H₀: μd ≥ 0

H₁: μd < 0

I hope it helps!