A college dining hall manager believes that swimmers eat more calories per day than non-swimmers. The dining hall manager wants to assess that claim, so they record the calories that a random sample of 24 college swimmers and a random sample of 24 college non-swimmers eat from the dining hall in the day. We define group 1 to be non-swimmers and group 2 as swimmers.

Which type of procedure should be performed, a confident interval or hypothesis test?

represent the mean calores for the group swimmers

represent the mean calores for the group  non swimmers

And for this case we want to tst the following system of hypothesis:

Null Hypothesis:

Alternative Hypothesis:

And we can use a t test in order to compare the two means from the two groups of 24

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we define the following proportions:

represent the mean calores for the group swimmers

represent the mean calores for the group  non swimmers

And for this case we want to tst the following system of hypothesis:

Null Hypothesis:

Alternative Hypothesis:

And we can use a z test in order to compare the two means from the two groups of 24

the answer to the expression is 83