The effect of a dietary supplement on bone density was measured for a group of l

Question

The effect of a dietary supplement on bone density was measured for a group of laboratory rats. Results of bone density tests (g/cm3 ) were:

Control 0.228 0.207 0.234 0.220 0.217 0.228 0.209 0.221 0.204 0.220 0.203 0.219 0.218 0.245 0.210

Low Dose 0.211 0.220 0.211 0.233 0.219 0.233 0.226 0.228 0.216 0.225 0.200 0.208 0.198 0.208 0.203

High Dose 0.250 0.237 0.217 0.206 0.247 0.228 0.245 0.232 0.267 0.261 0.221 0.219 0.232 0.209 0.255

(a) Compute descriptive statistics for the data.

(b) Are the one-way ANOVA assumptions reasonable for this data?

(c) Run ANOVA and report results.

(d) Compare samples two-at-a-time to examine results in greater detail.

Explanation / Answer

a) Descriptive statistics

b) Assumptions:

c) ANOVA REPORT

d) F cal=7.72

P value=0.00139<0.05 we reject the Null hypothesis. Hence the results are significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Control 15 3.283 0.218867 0.000134 Low 15 3.239 0.215933 0.000132 High 15 3.526 0.235067 0.000352

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