In: Statistics and Probability
The effect of phosphate supplementation on bone formation was assessed in six healthy dogs. For each dog, bone formation was measured for a 12-week period of phosphate supplementation as well as for a prior 12-week control period.
Dog | 1 | 2 | 3 | 4 | 5 | 6 |
Control | 1.73 | 3.37 | 3.59 | 2.05 | 1.86 | 3.6 |
Phosphate | 8.16 | 4.48 | 3.98 | 5.24 | 3.04 | 7.03 |
Test the claim that there is a significant difference in bone formation between the control time period and the phosphate supplementation time period. Use α = 0.10.
a. State whether the test is:
i) a two-sample t-test (independent samples)
ii) a matched pairs
iii) a two sample proportion test
b. Write H0 and H1
c. Using Minitab, list the test statistic the p-value your conclusion: reject H0 or do not reject H0. Note: if α is not provided, use a 0.05 significance level
d. Write a sentence that explains your conclusion in context with the claim. Include the significance level and p-value in this sentence.
e. Copy and paste the relevant Minitab output into the document. Answers alone are sufficient, you do not need to copy the exercise into the document.
For the above problem we can use, a two-sample t-test (independent samples)
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