Market researchers working for a large fitness company want to know if male and
ID: 3337544 • Letter: M
Question
Market researchers working for a large fitness company want to know if male and female patrons differ in terms of how many hours per week they spend at the gym. At their gym, customers have ID cards that they use to sign in and out of the gym, so the researchers are able to obtain data concerning how long each customer was in the gym. They obtain data from a random sample of 50 male patrons and 50 female patrons
1. What type of graph could the researchers make to display their data? Explain why.
2. What method of constructing a sampling distribution should the researchers use (e.g., randomization, t distribution, z distribution)? Explain why.
Explanation / Answer
1.
Researchers can probably use the line graph or bar graph. In that fashion they would be clearly and visually able to analyze how the data about the males and females is moving and looks like.
2.
Since, we have to compare two populations and carry out a test whether there is a difference between them, t distribution would be the best. In this case, we would be using sample data and also do not have an idea about the population standard deviation, hence t distribution based on the given sample size would be used. In case, you want to carry out a t-test, you can test if the population means differ by carrying out a two sample t test. t test with independent samples would be carried out to test the difference between means of males and females.