Show transcribed image text Researchers believe that plants growing at different altitudes grow to different heights. They examine one type of plant at low, medium-low, medium, medium-high, and high altitudes, measuring their heights in cm. In each altitude group, they have a sample of 25 plants. a. Write the null and alternative hypothesis for the ANOVA test. Ho: Ha Instead of an ANOVA test, could a Chi-Squared Goodness of Fit test be conducted? Why or why not? b. What assumptions must be true in order to perform the ANOVA test? Circle all that are true. c. The heights of each plant must be independent. There must be at least 20 plants in each group, no matter if the distribution of heights is normal or not. The variances of height must be the same at each altitude in the population. i. ii. iii.
Researchers believe that plants growing at different altitudes grow to different heights. They examine one type of plant at low, medium-low, medium, medium-high, and high altitudes, measuring their heights in cm. In each altitude group, they have a sample of 25 plants. a. Write the null and alternative hypothesis for the ANOVA test. Ho: Ha Instead of an ANOVA test, could a Chi-Squared Goodness of Fit test be conducted? Why or why not? b. What assumptions must be true in order to perform the ANOVA test? Circle all that are true. c. The heights of each plant must be independent. There must be at least 20 plants in each group, no matter if the distribution of heights is normal or not. The variances of height must be the same at each altitude in the population. i. ii. iii.
