Question
1) A researcher had the objective to find whether there are more kids in City A than City B. The researcher found that of the
1) A researcher had the objective to find whether there are more kids in City A than City B. The researcher found that of the 268 parents from City A, the average parent has 5.43 kids, with standard deviation of 1.162. The researcher went to City B and found out that of the 1145 parents from City B, the average parent has 4.43 kids, with standard deviation of 1.015. Does the evidence suggest that City A have higher number of kids? Use an = 0.01 level of significance. Ensure to explain what the conclusion means in terms of the question's context (i.e., not just reject or fail to reject). Use both the classical approach and P-value methods and write down all formulas used. Hint: if the standard deviation is given, then the sample variance is indirectly given too (and, in general, vice-versa). Also, construct a 99% confidence interval.
2) Is height and salary related? The following data represent the level of height and level of salary for a random (observed) sample of individuals.
Height/Salary | excellent | good | fair | poor |
Above average height | 271 | 261 | 82 | 20 |
Average height | 247 | 567 | 231 | 53 |
Below average height | 33 | 103 | 92 | 36 |
Does the evidence suggest that height and salary are related? Use the = 0.05 level of significance. Ensure to explain what the conclusion means in terms of the question's context (i.e., not just reject or fail to reject). Use both the classical approach and P-value methods and write down all formulas used. No confidence interval for this question.
Include all the steps and calculations. DO NOT GIVE THE FORMULAS AND TELL ME TO DO THE WORK MYSELF. THANKS.
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