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7. A nursery is growing garden plants that come in 15 different varieties, labelled by a number 1 to 15. The plant varieties are selected at random for trays for selling. For plant types 1 to 15, the number of times each plant variety was selected in a given months production are given in the following list: 15, 16, 14, 13, 13, 11, 9, 15, 17, 18, 18, 14. 16, 21, 12. The following information is available: Eo, = 222. o = 3416. Let E be the expected value of the counts if they follow a uniform distribution; then the statistic for a goodness-of-fit test for a distribution is E Carry out an appropriate statistical test to determine if the frequency distribu- tion of counts follows the uniform distribution, at a level of significance of 0.05 and then at 0.01. Explain why this should be a two-tailed test.

7. A nursery is growing garden plants that come in 15 different varieties, labelled by a number 1 to 15. The plant varieties are selected at random for trays for selling. For plant types 1 to 15, the number of times each plant variety was selected in a given months production are given in the following list: 15, 16, 14, 13, 13, 11, 9, 15, 17, 18, 18, 14. 16, 21, 12. The following information is available: Eo, = 222. o = 3416. Let E be the expected value of the counts if they follow a uniform distribution; then the statistic for a goodness-of-fit test for a distribution is E Carry out an appropriate statistical test to determine if the frequency distribu- tion of counts follows the uniform distribution, at a level of significance of 0.05 and then at 0.01. Explain why this should be a two-tailed test.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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7. A nursery is growing garden plants that come in 15 different varieties, labelled by a number 1 to 15. The plant varieties are selected at random for trays for selling. For plant types 1 to 15, the number of times each plant variety was selected in a given months production are given in the following list: 15, 16, 14, 13, 13, 11, 9, 15, 17, 18, 18, 14, 16, 21, 12. The following information is available: 2o. = 222. o = 3416. Let E be the expected value of the counts if they follow a uniform distribution; then the statistic for a goodness-of-fit test for a distribution is E Carry out an appropriate statistical test to determine if the frequency distribu- tion of counts follows the uniform distribution, at a level of significance of 0.05 and then at 0.01. Explain why this should be a two-tailed test.
Transcribed Image Text:7. A nursery is growing garden plants that come in 15 different varieties, labelled by a number 1 to 15. The plant varieties are selected at random for trays for selling. For plant types 1 to 15, the number of times each plant variety was selected in a given months production are given in the following list: 15, 16, 14, 13, 13, 11, 9, 15, 17, 18, 18, 14, 16, 21, 12. The following information is available: 2o. = 222. o = 3416. Let E be the expected value of the counts if they follow a uniform distribution; then the statistic for a goodness-of-fit test for a distribution is E Carry out an appropriate statistical test to determine if the frequency distribu- tion of counts follows the uniform distribution, at a level of significance of 0.05 and then at 0.01. Explain why this should be a two-tailed test.
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