Question

1. The process of random sampling guarantees that the sample selected will be representative of the population. Is this statement true? Discuss.

2.Bob compares his SAT Verbal score of 400 to Marge's ACT Verbal score of 20. "I beat you," he exclaims. "My score is 20 times your score!" Although his multiplication is good, his logic is faulty. Explain why. NORMAL DISTRIBUTION QUESTION

Answer 1

1. The random sampling does not guarantee that the sample selected is the representative of the population. Researchers do random sample to statistically measure a subset of individuals selected from a larger group of population to approximate a response from the entire group. Each individual in the large population set has the same probability of being selected. This creates, a balanced subset that carries the greatest potential for representing thelarger group as a whole.

2. The logic is faulty because the first feature is highly varying in magnitudes. These two features are in very different ranges. To check who beat whom, a random sampling of the two features from their population need to be made. Then by normalisation technique where the values are rescaled sobthat they end up ranging between 0 and 1, we will get the values in their respective scales. After that we can evaluate by judging the values of both the scores with their normalised values.