In: Statistics and Probability
Ultra Pills were advertised as having 749 mg of vitamin B3 per
pill. A marketing firm hypothesizes that the amount of vitamin B3
is less than what is advertised. What can be concluded with
α = 0.05. The vitamin B3 content per pill from a sample of
pills is as follows:
701, 761, 716, 721, 751, 715, 711, 741.
a) What is the appropriate test statistic?
---Select---na, z-test, One-Sample t-test, Independent-Samples
t-test, Related-Samples t-test
b)
Population:
---Select---Ultra Pills, sample of pills, advertisement, marketing
firm, vitamin B3
Sample:
---Select---Ultra Pills, sample of pills, advertisement, marketing
firm, vitamin B3
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---Reject H0 orFail to 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---na, trivial effect, small effect,
medium effect, large effect
r2 = ; ---Select---na, trivial effect, small
effect, medium effect, large effect
f) Make an interpretation based on the
results.
The amount of vitamin B3 in Ultra Pills is significantly more than the advertised claim.
The amount of vitamin B3 in Ultra Pills is significantly less than the advertised claim.
The amount of vitamin B3 in Ultra Pills is not significantly different than the advertised claim.