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 ? = 0.05 level of significance, is there enough evidence to reject the claim?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 ? = 0.05 level of significance, is there enough evidence to reject the claim?

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