A company that sells carrot seeds for heavy, clay soil conducts a yearly quality-control test to see, among other things, if it can still say that the average length of carrots from the seeds will be 11.5cm. Aside this test, you take a random sample of 40 of these carrots from a field of mature carrots and find that their average length is 11.8. Assuming that the population of length measurements is still normally distributed with standard deviation of 1.15cm, at level of significance, is there enough evidence to reject the claim?

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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A company that sells carrot seeds for heavy, clay soil conducts a yearly quality-control test to see, among other things, if it can still say that the average length of carrots from the seeds will be 11.5cm. Aside this test, you take a random sample of 40 of these carrots from a field of mature carrots and find that their average length is 11.8. Assuming that the population of length measurements is still normally distributed with standard deviation of 1.15cm, at level of significance, is there enough evidence to reject the claim?

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