In: Statistics and Probability
The quality control department of a salad dressing brand is
concerned that its dressings contain more MSG than the 752 mg per
serving on the label. A sample of 13 dressings from the facility
had an average MSG of 790 mg and a variance of 4083.21 mg per
serving. What can be concluded with an α of 0.05?
a) What is the appropriate test statistic?
---Select---
Options are: na, z-test, One-Sample t-test, Independent-Samples
t-test, or Related-Samples t-test
b)
Population:
---Select---
Options are: quality control department, MSG, dressings from facility, salad dressing, brand MSG on lable
Sample:
---Select---
Options are: quality control department, MSG, dressings from
facility, salad dressing, brand MSG on lable
c) Obtain/compute the appropriate values to make a
decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
critical value =_____ ; test statistic = ______
Decision: ---Select---
-Options are: Reject H0 Fail or reject H0
d) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[____ , ____ ]
e) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d = ; ---Select---
-Options are: na, trivial effect, small effect medium, or effect large effect
r2 = ; ---Select---
-Options are: na, trivial effect, small effect medium, or effect
large effect
f) Make an interpretation based on the results.
Which is the correct answer?
a)The amount of MSG in the salad dressing is significantly more than on the label.
b)The amount of MSG in the salad dressing is significantly less than on the label.
c)The amount of MSG in the salad dressing is not significantly different on the label.