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2. A farmer grows a new variety of potatoes. A random sample of 80 roots of the new variety is harvested and weighed. The mean weight was found to be 3.20 per root, and the standard deviation of 0.50 kg per root. Based on his knowledge of the land, the farmer expected 3.30kg per root You are required to test at the 5% level whether the sample provides sufficient evidence that the crop is NOT what the farmer expected. a) State, in symbols, appropriate null and alternative hypothesis for the test. b) Determine the critical value(s) for the test. c) Calculate the value of the test statistic. d) State your Decision and Conclusion, giving a reason for your answer.

2. A farmer grows a new variety of potatoes. A random sample of 80 roots of the new variety is harvested and weighed. The mean weight was found to be 3.20 per root, and the standard deviation of 0.50 kg per root. Based on his knowledge of the land, the farmer expected 3.30kg per root You are required to test at the 5% level whether the sample provides sufficient evidence that the crop is NOT what the farmer expected. a) State, in symbols, appropriate null and alternative hypothesis for the test. b) Determine the critical value(s) for the test. c) Calculate the value of the test statistic. d) State your Decision and Conclusion, giving a reason for your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 14PPS
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2. A farmer grows a new variety of potatoes. A random sample of 80 roots of the new variety is harvested and weighed. The mean weight was found to be 3.20 per root, and the standard deviation of 0.50 kg per root. Based on his knowledge of the land, the farmer expected 3.30kg per root You are required to test at the 5% level whether the sample provides sufficient evidence that the crop is NOT what the farmer expected. a) State, in symbols, appropriate null and alternative hypothesis for the test. b) Determine the critical value(s) for the test. c) Calculate the value of the test statistic. d) State your Decision and Conclusion, giving a reason for your answer.
Transcribed Image Text:2. A farmer grows a new variety of potatoes. A random sample of 80 roots of the new variety is harvested and weighed. The mean weight was found to be 3.20 per root, and the standard deviation of 0.50 kg per root. Based on his knowledge of the land, the farmer expected 3.30kg per root You are required to test at the 5% level whether the sample provides sufficient evidence that the crop is NOT what the farmer expected. a) State, in symbols, appropriate null and alternative hypothesis for the test. b) Determine the critical value(s) for the test. c) Calculate the value of the test statistic. d) State your Decision and Conclusion, giving a reason for your answer.
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