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Now we want to compare the hours spent in the flowering stage of two groups of flowers, regular tulip and the newly developed tulip. To
- Now we want to compare the hours spent in the flowering stage of two groups of flowers, regular tulip and the newly developed tulip. To do that, we randomly choose 45 regular tulips(yet to bloom)and 50 new tulips(yet to bloom), and record hours spent on flowering stage for each flower. The data is in final.test.4.mtw.
- Choose an appropriate plot/graph to graphically summarize the dataset to compare the hours spent in the flowering stage of two groups of flowers, regular and new. Attach the plot.
- We wish to construct 95% confidence interval for the difference of the average hours spent in the flowering stage of two groups of flowers.
- What assumptions are necessary to construct this confidence interval? Are those assumptions reasonable for these data? Briefly explain why or why not.
- Find a 95% confidence interval for the difference of the average hours spent in the flowering stage of two groups of flowers, and interpret it. (assuming that the necessary conditions are met)
- With 5% significance level, is there sufficient evidence that a new tulip flower lasts longer than a regular tulip flower on average?(assuming that the necessary conditions are met)
- State the null and the alternative hypotheses.
- Report the test statistic.
- Report the p-value.
- Draw a conclusion.
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