Question

Vita Pills were advertised as having 750 mg of vitamin B3 per pill. A consumer's group 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, 721, 719, 741.

a) What is the appropriate test statistic?
---Select one--- (na, z-test, One-Sample t-test, Independent-Samples t-test, Related-Samples t-test)
b)
Population:
---Select one--- (sample of pills, advertisement, Vita Pills, consumer's group, vitamin B3)
Sample:
---Select one--- (sample of pills, advertisement, Vita Pills, consumer's group, 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 one--- (Reject H0 or Fail 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 one--- (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.

a. The amount of vitamin B3 in Vita Pills is significantly more than the advertised claim.

b. The amount of vitamin B3 in Vita Pills is significantly less than the advertised claim.    

c. The amount of vitamin B3 in Vita Pills is not significantly different than the advertised claim.

Answer 1

From the given data

a) What is the appropriate test statistic?
answer: One-Sample t-test

b)
Population:
Answer: Vita Pills

Sample:
Answer: sample of pills

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.)
Rejection region t < -1.895
Critical value t = -1.895

Test Statistic:

Decision:
Correct answer: Reject H0

Since t value < t Critical value

d) If appropriate, compute the CI.

The 95% confidence interval is 712.059<μ<745.701.

e) Compute the corresponding effect size(s) and indicate magnitude(s).

f) Make an interpretation based on the results.

Correct answer: b. The amount of vitamin B3 in Vita Pills is significantly less than the advertised claim.