Question

For each of the following research questions specify the null value that the researchers are interested in testing, and write the null hypothesis using the appropriate symbol(s) for the parameter of interest. Make sure that you specify the population(s) to which the parameter applies.

(a)Nutrition trends have changed over the years, and this may affect growth. Researchers want to know whether the mean height of 25-year-old women is the same as the mean height of 45-year-old women.

Answer 1

The null hypothesis is that there is no difference in the mean height of 25-year-old women and 45-year-old women.

Step-by-step explanation:

The research question is: whether the mean height of 25-year-old women is the same as the mean height of 45-year-old women.

The null hypothesis is that there is no difference in the mean height of 25-year-old women and 45-year-old women. The population for this hypothesis is all 25-year-old women and all 45-year-old women. The null hypothesis can be written as:

H0: μ1 = μ2

where μ1 represents the mean height of 25-year-old women and μ2 represents the mean height of 45-year-old women.