SOLUTION: Solve completely. Follow the procedure below:
A. Setup the null and alternate hypothesis
B. What is the level of significance “a” (alpha)? What test will you use and how ma
Algebra ->
Probability-and-statistics
-> SOLUTION: Solve completely. Follow the procedure below:
A. Setup the null and alternate hypothesis
B. What is the level of significance “a” (alpha)? What test will you use and how ma
Log On
Question 1175854: Solve completely. Follow the procedure below:
A. Setup the null and alternate hypothesis
B. What is the level of significance “a” (alpha)? What test will you use and how many tails is it?
C. Find the Critical Value given the level of significance and the number of tails (and the given n if it is a t-test). Draw a
bell curve.
D. Write the Decision Rule given the Critical Value. Note: A two-tailed test will have a positive and a negative Critical Value.
E. Solve for the test statistic (z or t-test). Compare with the Critical Value.
F. Conclusion: Reject or Do Not Reject? Explain in terms of the decision rule.
z-test
1. A generic brand of the anti-histamine Diphenhydramine markets a capsule with a 50 milligram dose. The manufacturer is worried that the machine that fills the capsules has come out of calibration and is no longer creating capsules with the appropriate dosage. To test this at 0.05 level of significance, a random sample study was done for 36 capsules that yielded an average of 47 mg. with sample standard deviation of 8 mg. Does the data suggest that the population mean dosage of this brand is less than 50 mg?
Hi
Population: μ = 50mg
Sample: n = 36 and x̄ = 47mg and s =8mg
Ho: μ = 50
Ha μ < 50
1)Level of significance is .05
2) One-tailed
3) Sample 36, population σ Unknown: using t-test
4) critical value- df35 : t = 1.69
4)
t = -3/(8/6) = -2.25
| t | > critical value
Reject Ho.
data suggest that the population mean dosage of this brand is less than 50 mg
