Conduct a test of size 1% of the null hypothesis that the expected yield, 0 under the new growing conditions is 0=10 kg against the one-sided alternative hypothesis that 0 >10 kg. Calculate an equal-tailed 99% confidence interval for 0.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Under standard growing conditions, the yields from plots sown with a particular
crop are known to follow a normal distribution with expectation of 10 kg. When
the crop is grown under new conditions in eight plots, the following independent
yields (in kg) are recorded.
10.08, 9.79, 10.29, 10.41, 10.55, 11.02, 10.33, 10.49
The sum of these eight yields is 82.96 kg and the sum of the squared yields is
861.1946 kg.
(a)
Conduct a test of size 1% of the null hypothesis that the expected yield, 0
under the new growing conditions is 0=10 kg against the one-sided
alternative hypothesis that 0> 10 kg.
(b)
Calculate an equal-tailed 99% confidence interval for 0.
Transcribed Image Text:Under standard growing conditions, the yields from plots sown with a particular crop are known to follow a normal distribution with expectation of 10 kg. When the crop is grown under new conditions in eight plots, the following independent yields (in kg) are recorded. 10.08, 9.79, 10.29, 10.41, 10.55, 11.02, 10.33, 10.49 The sum of these eight yields is 82.96 kg and the sum of the squared yields is 861.1946 kg. (a) Conduct a test of size 1% of the null hypothesis that the expected yield, 0 under the new growing conditions is 0=10 kg against the one-sided alternative hypothesis that 0> 10 kg. (b) Calculate an equal-tailed 99% confidence interval for 0.
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