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A Survey of 250 Lobster Fishermen Found That They Catch

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Short Answer

A survey of 250 lobster fishermen found that they catch an average of 32.0 pounds of lobster per day with a standard deviation of 4.0 pounds. If a random sample of 36 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds? Assume the distribution of the weights of lobster is normal.

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Definitions:

Random Samples

Random samples are selections made in such a way that each member of the population has an equal chance of being included, ensuring the sample's representativeness.

Statistically Significant

An observed effect so large that it would rarely occur by chance, indicating that the findings from the data are likely not due to random variation.

ANOVA Null Hypothesis

In Analysis of Variance, the null hypothesis that states there are no mean differences among the groups being compared.

Test Statistic

This is a quantity, derived from sample data, that can be used in statistical hypothesis testing to decide whether to reject the null hypothesis.

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