Reference no: EM132399805

Matrix Company has made a claim that, on average, their diet soda has less than one calorie. A consumer testing service examined nine cans, and the amount of calories recorded were 0.90, 0.95, 1.00, 1.05, 0.85, 1.00, 0.95, 0.95 and 0.90. Assume the underlying population is approximately normal.

a. What are the sample mean and sample standard deviation, respectively?

b. Let μ denote the true mean calories of all diet sodas produced by ABC Company. What hypothesis should be tested in order to show if ABC's claim is valid?

c. The appropriate statistic to test this hypothesis is ______

d. The value of the test statistic is ______

e. The appropriate number of degrees of freedom for this test statistic is ______

f. What conclusion can be made with 95% confidence?