A food manufacturer claims that their new low-fat oat bran muffin has a population mean fat content of 5 grams with a population standard deviation of 0.98 grams. A government food researcher believes the manufacturer's claim is too low and decides to test the manufacturer's claim. A random sample of 49 muffins yields a sample mean fat content of 5.3 grams. The government food researcher decides to perform the 5 step hypothesis test procedure at = 1 % to determine if it is reasonable to reject the food manufacturer's claim. I. State the hypotheses (in words & symbols): H0: ______________________________________________________________________________ Ha: ______________________________________________________________________________ II. Determine the model to test H0 a) Can you use a normal distribution for the Hypothesis Testing model to perform this test? Please explain your answer. If not, then what distribution could you use as the Hypothesis Testing model? __________________________________________________________________________________ b) Using the appropriate notation, state the MEAN & STD ERROR of the sampling distribution: Mean: (to 2 decimal places) _______________________________________________________ STD Error: ( to 2 decimal places) ____________________________________________________

III. Determine the Decision Rule: State the decision rule

Analyze the sample data: Using the appropriate notation, state the following: sample result (to 2 decimal places) is: _______________________________________________ p-value (to 4 decimal places) is: ________________________________________________ test statistic (to 2 decimal places) is: ________________________________________________

Draw & Label the Hypothesis Testing Model below showing the decision rule, critical value(s) & test statistic on the diagram. Hypothesis Testing Model ____________________________________________________

V. State the Conclusion: ____________________________________________________________ _________________________________________________________________________________ Answer Question: Explain whether it is reasonable to agree with the government food researcher's claim at = 1%. YOU MUST EXPLAIN YOUR ANSWER OTHERWISE No credit will be given.