problem 6.52, p.215 The diameter of the stem of a wheat plant is an importanttra
ID: 2954556 • Letter: P
Question
problem 6.52, p.215 The diameter of the stem of a wheat plant is an importanttrait because of its relationship to breakage of the stem, whichinterferes with harvesting the crop. An agronomist measured stemdiameter in eight plants of the Tetrastichon cultivar of soft redwinter wheat. All observations were made three weeks afterflowering of the plant. The stem diameters (mm) were asfollows?2.3 2.6 2.4 2.2 2.3 2.5 1.9 2.0
The mean of these data is 2.275 and the standard deviation is.238. a) Calculate the standard of error of the mean. b) Construct a 95% CI for the population mean.
The diameter of the stem of a wheat plant is an importanttrait because of its relationship to breakage of the stem, whichinterferes with harvesting the crop. An agronomist measured stemdiameter in eight plants of the Tetrastichon cultivar of soft redwinter wheat. All observations were made three weeks afterflowering of the plant. The stem diameters (mm) were asfollows?
2.3 2.6 2.4 2.2 2.3 2.5 1.9 2.0
The mean of these data is 2.275 and the standard deviation is.238. a) Calculate the standard of error of the mean. b) Construct a 95% CI for the population mean.
Explanation / Answer
mean of these data , x= 2.275 standard deviation , s=0.238 sample size, n = 8a) standard of error of the mean , e = s/n = 0.238/8= 0.084 b) for 95% Confidence, for a two tail distribution, z =1.96 (from z table) 95% CI for the population mean = x ± (z*e) = 2.275 ± (1.96*0.084) = 2.275 ± 0.16464 = ( 2.11036, 2.43964)
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