Question

A clinical study is designed to assess differences in albumin levels in adults following diets with different amounts of protein. Low protein diets are often prescribed for patients with kidney failure. Albumin is the most abundant protein in blood, and its concentration in the serum is measured in grams per deciliter (g/dL). Clinically, serum albumin concentrations are also used to assess whether patients get sufficient protein in their diets. Three diets are compared, ranging from 5% to 15% protein, and the 15% protein diet represents a typical American diet. The albumin levels of participants following each diet are shown below. 5 % Protein 3.1 2.6 2.9 10 % Protein 3.8 4.1 2.9 3.4 4.2 15 % Protein 4.0 5.5 5.0 4.8 Is there is a difference in serum albumin levels among subjects on the three different diets ? For reference, normal albumin levels are generally between 3.4 and 5.4 g/dL. I preferred EXCEL Thanks

Answer 1

A clinical study is designed to assess differences in albumin levels in adults following diets with different amounts of protein. Low protein diets are often prescribed for patients with kidney failure. Albumin is the most abundant protein in blood, and its concentration in the serum is measured in grams per deciliter (g/dL). Clinically, serum albumin concentrations are also used to assess whether patients get sufficient protein in their diets. Three diets are compared, ranging from 5% to 15% protein, and the 15% protein diet represents a typical American diet. The albumin levels of participants following each diet are shown below. 5 % Protein 3.1 2.6 2.9 10 % Protein 3.8 4.1 2.9 3.4 4.2 15 % Protein 4.0 5.5 5.0 4.8 Is there is a difference in serum albumin levels among subjects on the three different diets ?

H1: At least one pair of population means are different

Excel Addon Data Analysis used.

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
5%Protein	3	8.6	2.866667	0.063333
10%Protein	5	18.4	3.68	0.287
15%Protein	4	19.3	4.825	0.389167
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	6.847	2	3.4235	12.61646	0.00245	4.256495
Within Groups	2.442167	9	0.271352
Total	9.289167	11

Table value of F with (DF1=2, DF2=9 ) =4.26

Calculated F=12.62 > 4.26 the table value

The null hypothesis is rejected.

The data indicate there is a significant difference among the three groups