Week 1 Figures and Results
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Drexel University *
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101
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Mathematics
Date
Apr 3, 2024
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docx
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3
Uploaded by stucrep2020
Joshua Yang
Math 411
Week 1 Figures and Report
T-test for Two Independent Random Samples
Exercise 2.1
H0: There is no statistical difference between the mean standard lengths of largemouth bass and small mouth bass.
Ha: There is statistical difference between the mean standard lengths of largemouth bass and small mouth bass.
Conclusion: Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that the mean standard lengths of largemouth bass and smallmouth bass are statistically different from one another. Exercise 2.2
Part a.)
H0: There is no statistical difference between the reaction time of women and men.
Ha: There is statistical difference between the reaction time of women and men.
Conclusion: Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is no statistical difference between the reaction time of women and men
Part b.)
Part c.) In part A, the p-value is greater than 0.05, so we fail to reject the null hypothesis and concluded that there is no difference in reaction time between groups. The confidence interval is also slightly different. This may be due to not having the actual raw data and needing to use the rnorm() function. However, difference in values are minimal and we can conclude that the confidence interval are consistent. According to part B, since zero is included in the confidence interval, we fail to reject the null hypothesis. Moreover, looking at both the confidence interval or the statistical test yields the same conclusion.
Exercise 2.3
H0: The growth regulator does not affect internode growth.
Ha: The growth regulator does affect internode growth. Conclusion: Since p is less than 0.05, we can reject the null hypothesis and conclude that the growth regulator does affect internode growth.
Exercise 2.4
H0: Women smokers does not have pulse rates slower or equal to than women non-smokers.
Ha: Women smokers does have faster pulse rates than women non-smokers.
Conclusion: Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that women smokers does not have faster pulse rate than women non-smokers. Mann-Whitney U Test
Exercise 3.1
H0: The encounter time in the presence of a female is shorter or equal to those without female.
Ha: The encounter time in the presence of a female is longer to those without female.
Conclusion: Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that the encounter time in the presence of a female is longer to those without female.
Exercise 3.2
H0: The treatment does not affect the activity of the enzyme.
Ha: The treatment does affect the activity of the enzyme. Conclusion: Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that the treatment does affect the activity of the enzyme.
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