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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Vodka 4 years 2021-08-26T05:51:43+00:00 1 Answers 13 views 0

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  1. mit
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    2021-08-26T05:52:45+00:00
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    Answer:  

    7.79771≤x≤8.20229  

    Step-by-step explanation:  

    Given the following  

    sample 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

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