Question

A reporter responsible for the food section of a magazine investigated the belief that grocery stores sell beef at a higher price in the fall than in the spring. The reporter selected independent random samples of grocery-store beef prices in November and April and computed the mean and standard deviation for the samples. What are the correct null and alternative hypotheses for the reporterâs investigation, where μF represents the mean price of beef in the fall and μS represents the mean price of beef in the spring?

Answer 1

Answer:

$\mathbf{H_o: \mu_F -\mu_s = 0} \\ \\ \mathbf{H_a: \mu_F -\mu_s >0}$

Step-by-step explanation:

From the given information:

$\text{The claim is that a reporter is responsible for the food section of a }$$\text{magazine investigated the belief that grocery stores sell beef at a higher}$$\text{ price in the fall than spring;}$

i.e

$\mu_F > \mu_s$

Thus;

$\mu_F - \mu_s >0$

∴

$\text{The null and alternative hypothesis for the reporters investigation is:}$

$\mathbf{H_o: \mu_F -\mu_s = 0} \\ \\ \mathbf{H_a: \mu_F -\mu_s >0}$

Answer 2

The null and alternative hypothesis for the reporter's investigation is

$\rm H_o: \mu_F - \mu_s = 0 \\\\ H_a : \mu_F - \mu_s > 0$

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics.

A reporter responsible for the food section of a magazine investigated the belief that grocery stores sell beef at a higher price in the fall than in the spring.

The reporter selected independent random samples of grocery-store beef prices in November and April and computed the mean and standard deviation for the samples.

The claim is that a reporter is responsible for the food section of a magazine investigated the belief that grocery stores sell beef at a higher price in the fall than in spring. That is given as

$\rm \mu_F > \mu_s \\\\\mu_F - \mu_s > 0$

Therefore, the null and alternative hypothesis for the reporter's investigation is

$\rm H_o: \mu_F - \mu_s = 0 \\\\ H_a : \mu_F - \mu_s > 0$

More about the standard deviation and the mean link is given below.

https://brainly.com/question/14019792