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## The diameter of the stem of a wheat plant is an important trait because of its relationship to breakage of the stem. An agronomist measured

Question

The diameter of the stem of a wheat plant is an important trait because of its relationship to breakage of the stem. An agronomist measured stem diameter in eight plants of a particular type of wheat. The mean of these data is 2.275 and the standard deviation is 0.238. Construct a 80% confidence interval for the population mean.

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Mathematics
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2021-08-26T05:51:43+00:00
2021-08-26T05:51:43+00:00 1 Answers
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## Answers ( )

Answer:7.79771≤x≤8.20229Step-by-step explanation:Given the followingsample size n = 8

standard deviation s = 0.238

Sample mean = 2.275

z-score at 980% = 1.282

Confidence Interval = x ± z×s/√n

Confidence Interval = 8 ± 1.282×0.238/1.5083)

Confidence Interval = 8 ± (1.282×0.15779)

Confidence Interval = 8 ±0.20229

CI = {8-0.20229, 8+0.20229}

CI = {7.79771, 8.20229}

Hence the required confidence interval is 7.79771≤x≤8.20229