Suppose we sample randomly from a normally distributed population with a mean of

Question

Suppose we sample randomly from a normally distributed population with a mean of 50 and a standard deviation of 10. Is it more likely that we will obtain a sample mean of 70 for a sample of 9 participants or a sample of 100 participants, or are the probabilities equal? O This mean is more likely for the sample of 9 participants. OThe answer cannot be determined from the information provided O This mean is more likely for the sample of 100 participants. O This mean is equally likely, regardless of sample size

Explanation / Answer

The sample mean of 70 will be more likely for a sample of 9 participants because by central limit theorem as the sample size increases the variability decreases ( Sample mean will get more closer to population mean), so this variability will be more likely for a sample of 9

Option A is Correct

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