Identify if the following statements are TRUE or FALSE. 1. If the population standard deviation is known and the data follows the normal distribution, we can recommend using t-test to test the hypothesis in one population mean 2. If the data does not follow the normal distribution but the distribution is symmetric, we can recommend using Wilcoxon Signed-Rank test to test the hypothesis on one population mean. 3. Before using the Chi-square test in testing the hypothesis for one population variance, we do need to check if the data satisfy the normality assumption. 4. In testing hypothesis regarding the population proportion, we can recommend using the Approximate Z-test if the assumption for large sample is satisfied. That is if nP, 25 and n(1-P) 2 5. 5. In general, the null hypothesis in hypothesis testing for single population with several proportions is: Ho: The observed proportions (counts) are in agreement with the expected proportions (counts).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Identify if the following statements are TRUE or FALSE.
1. If the population standard deviation is known and the data follows the normal
distribution, we can recommend using t-test to test the hypothesis in one population mean
2. If the data does not follow the normal distribution but the distribution is symmetric, we can
recommend using Wilcoxon Signed-Rank test to test the hypothesis on one population
mean.
3. Before using the Chi-square test in testing the hypothesis for one population variance, we
do need to check if the data satisfy the normality assumption.
4. In testing hypothesis regarding the population proportion, we can recommend using the
Approximate Z-test if the assumption for large sample is satisfied. That is if nP, ≥ 5 and
n(1-P) ≥ 5.
5. In general, the null hypothesis in hypothesis testing for single population with several
proportions is: Ho: The observed proportions (counts) are in agreement with the expected
proportions (counts).
Transcribed Image Text:Identify if the following statements are TRUE or FALSE. 1. If the population standard deviation is known and the data follows the normal distribution, we can recommend using t-test to test the hypothesis in one population mean 2. If the data does not follow the normal distribution but the distribution is symmetric, we can recommend using Wilcoxon Signed-Rank test to test the hypothesis on one population mean. 3. Before using the Chi-square test in testing the hypothesis for one population variance, we do need to check if the data satisfy the normality assumption. 4. In testing hypothesis regarding the population proportion, we can recommend using the Approximate Z-test if the assumption for large sample is satisfied. That is if nP, ≥ 5 and n(1-P) ≥ 5. 5. In general, the null hypothesis in hypothesis testing for single population with several proportions is: Ho: The observed proportions (counts) are in agreement with the expected proportions (counts).
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