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Problem Background: A massive multi-state outbreak of food-borne illness was attributed to Salmonella enteritidis . Epidemiologists determined that...
Problem Background: A massive multi-state outbreak of food-borne illness was attributed to Salmonella enteritidis. Epidemiologists determined that the source of the illness was ice cream. To determine the level of Salmonella enteritidis in the ice cream, they sampled nine production runs from the company that produced the ice cream. The researchers would like to use these data to determine whether the average level of Salmonella enteritidis in the ice cream is greater than 0.3 MPN/g, since such levels are considered very dangerous using a 5% significance level.
Clarify: Before conducting any test, here are a set of questions to ask yourself: (0 points; FYI only)
· How many populations are there? One Two More than two
· How many variables are there? One Two
· What is the response variable?
· What type of variable is the response? Categorical Quantitative
· What type of parameter would be useful for summarizing this response?
Proportion Mean
Hypothesis Test: You can now implement the Five Steps for hypothesis testing.
1. State the Hypotheses: (2 points)
H0: ___________ = ___________ and Ha: ___________ ___________ ,
where __________ represents: ____________________________________________________
Remember: Your hypotheses and parameter definition should always be a statement about the population(s) under study.
2. Checking the Assumptions and Computing the Test Statistic Assumptions:
a. For this scenario, we need to assume the data are a [___________] sample. We also need to assume that the responses come from a [__________________] distributed [___________________]. (1.5 point)
b. Is the assumption of normality really that important with a sample of size of 9?
Why? (1 point) ...
c. If the sample size were much larger, would this assumption be as important?
Why? (1 point) ...
