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The size of fish is very important to commercial fishing. A study collected the lengths of Atlantic cod (in cm) caught in nets in Karlskrona.

The size of fish is very important to commercial fishing. A study collected the lengths of Atlantic cod (in cm) caught in nets in Karlskrona. Data based on information from the study is in the table below. Determine if the data are from a population that is normally distributed.

3145464748484848494950505052525253536067

a) Identify the individual, variable, type of variable and the random variable X in the context of this problem.

The individual isSelect an answer

a randomly selected Atlantic cod

the mean length of 20 randomly selected Atlantic cod

20 randomly selected Atlantic cod

the length

all Atlantic cod

the mean length of all Atlantic cod

The variable information collected from each individual isSelect an answer

20 randomly selected Atlantic cod

the mean length of all Atlantic cod

the length

a randomly selected Atlantic cod

all Atlantic cod

the mean length of 20 randomly selected Atlantic cod

This variable is aSelect an answer

qualitative

qualitative -- discrete

quantitative -- continuous

variable.

The random variable X is as follows:

Select an answer

rv X = length is normally distributed

rv X = the mean length of all Atlantic cod

rv X = the mean length of 20 randomly selected Atlantic cod

rv X = all Atlantic cod

rv X = a randomly selected Atlantic cod

rv X = the length of a randomly selected Atlantic cod

Does this graph support the claim that the sample data came from a normal population?

Select an answer

Yes, since the modified boxplot shows no outliers.

Yes, since the modified boxplot shows outliers.

No, since the modified boxplot shows no outliers.

No, since the modified boxplot shows outliers.

d)Final conclusion:

  • It is not reasonable to assume the sample data has a normal distribution
  • It is not reasonable to assume that the sample data came from a normal population
  • It is reasonable to assume the sample data has a normal distribution
  • It is reasonable to assume that the sample data came from a normal population

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