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Answer :
Final answer:
To find the probability that the average weight of a group of 9 individuals is more than 156 pounds, use the distribution of sample means and the standard normal distribution table to calculate the probability.
Explanation:
To find the probability that the average weight of a group of 9 individuals is more than 156 pounds, we need to use the distribution of sample means. The mean of the sample means is equal to the population mean, and the standard deviation of the sample means is equal to the population standard deviation divided by the square root of the sample size.
Using this information, we can calculate the z-score of the sample mean and then find the probability using the standard normal distribution table.
By calculating the z-score and finding the corresponding probability, we find that the probability of the average weight of the group being more than 156 pounds is approximately 0.2119.
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