1.During a major outbreak of an infectious disease, a team of medical researchers is conducting a medical research project investigating the dynamics of disease transmission through multiple methods. A principal researcher has been working with a portion of the experiment that involves a single contributing factor with five live groups and seven values in each group.
a. How many degrees of freedom are there in determining: the among group variation, the within group variation and the total variation?
b. If the among group of of squares (SSA) is 60 and the total sum of squares(SST) is 210, what is the within group sum of squares(SSW)?
c. What is MSA?
d. What is MSW?
e. What is the value of the test statistic F?
At the .05 level of significance, do all the groups have similar population means?
2.A Carpet manufacturer is studying differences between two of its major outlet stores. Thecompany has decided to revise and imrpove its operations and response time to customer needs and is particularly interested in the time it takes customers to receive carpeting that was ordered from the plant. A sample of 41 delivery times for the most popular type of carpet for the store in Loweel revealed an average delivery time 34.3 days with a standard deviation of 2.4 days. A similar sample of 31 delivery times for the store in Braintree revealed an average of 43.7 days with a standard deviation of 3.1 days. At the .05 level of significance, is there evidence of a difference in variability in the shipping time between the two outlets? What decision should the carpet manufacturer take?