Question

Calcium is an essential mineral that regulates the heart, is important for blood clotting and for building healthy bones. The National Osteoporosis Foundation recommends a daily calcium intake of 1000-1200 mg/day for adult men and women. While calcium is contained in some foods, most adults do not get enough calcium in their diets and take supplements. Unfortunately some of the supplements have side effects such as gastric distress, making them difficult for some patients to take on a regular basis. A study is designed to test whether there is a difference in mean daily calcium intake in adults with normal bone density, adults with osteopenia (a low bone density which may lead to osteoporosis) and adults with osteoporosis. Adults 60 years of age with normal bone density, osteopenia and osteoporosis are selected at random from hospital records and invited to participate in the study. Each participant's daily calcium intake is measured based on reported food intake and supplements. Using the data and the Excel ANOVA output (using a level of significant a = 0.10, answer the following questions. Determine each of the following values SSE MST Total Variation Using the F statistic, what conclusion do you make? Using the p-value, what conclusion do you make? What is the critical F value if we change the level of significance to 0.05? Normal Bone Density Osteopenia Osteoporosis 1024 864 767 851 936 559 837 600 948 768 684 766 647 434 344 682 599 308 837 599 940 775 686 778 640 434 341 686 598 298 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Column 1 10 7747 774.7 14076.90 Column 2 10 6434 643.4 25925.16 Column 3 10 6049 604.9 70484.32 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 158513.3 2.0000 79256.63 2.1520 0.1358 2.5106 Within Groups 994377.4 27.0000 36828.79 Total 1152890.7 29.0000

          Calcium is an essential mineral that regulates the heart, is
important for blood clotting and for building healthy bones. The
National Osteoporosis Foundation recommends a daily calcium intake
of 1000-1200 mg/day for adult men and women. While calcium is
contained in some foods, most adults do not get enough calcium in
their diets and take supplements. Unfortunately some of the
supplements have side effects such as gastric distress, making them
difficult for some patients to take on a regular basis.  
 A study is designed to test whether there is a difference
in mean daily calcium intake in adults with normal bone density,
adults with osteopenia (a low bone density which may lead to
osteoporosis) and adults with osteoporosis. Adults 60 years of age
with normal bone density, osteopenia and osteoporosis are selected
at random from hospital records and invited to participate in the
study. Each participant's daily calcium intake is measured based on
reported food intake and supplements. Using the data and the Excel
ANOVA output (using a level of significant a = 0.10, answer the following questions.
 Determine each of the following values
SSE
MST
Total Variation
Using the F statistic, what conclusion do you make?
Using the p-value, what conclusion do you make?
What is the critical F value if we change the level of
significance to 0.05?

Normal Bone Density
Osteopenia
Osteoporosis
1024
864
767
851
936
559
837
600
948
768
684
766
647
434
344
682
599
308
837
599
940
775
686
778
640
434
341
686
598
298
Anova:
Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Column 1
10
7747
774.7
14076.90
Column 2
10
6434
643.4
25925.16
Column 3
10
6049
604.9
70484.32
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
158513.3
2.0000
79256.63
2.1520
0.1358
2.5106
Within Groups
994377.4
27.0000
36828.79
Total
1152890.7
29.0000

Added by Deborah I.

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