3. Consider the population of integers from 8 to 48.
a. Select a sample of 6 numbers. Is this a random sample? Explain your reasoning.
b. How can you assign random numbers to select a sample using a random number table?
c. Use the random number table to choose 6 numbers from this population.
d. Use a different line of the random number table to choose 6 numbers from this population.
e. Compare the results from each sample. Do the results surprise you? Explain.

Respuesta :

a. A random sample is one in which every individual in the population has an equal chance of being selected. If the sample of 6 numbers is chosen using a truly random method (like using a random number generator or table), then it can be considered a random sample. If, however, the selection method is biased or non-random, it wouldn't be a random sample.

b. To use a random number table, assign each number in the population a unique identifier (like a serial number). Then, generate random numbers from the table and match them to the identifiers to select your sample.

c. Without an actual random number table, I can't provide specific numbers. However, you would generate random numbers within the range of 8 to 48 and match them to the corresponding integers to form your sample.

d. Similarly, generate another set of random numbers from the table and match them to select a different sample of 6 numbers from the population.

e. The results from each sample may differ due to the inherent randomness in the process. If the random sampling method is unbiased, the differences are expected. If the samples are consistently similar or different, it might indicate an issue with the randomization process. It's important to note that randomness doesn't guarantee uniformity in every sample.

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