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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ.Let THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ.Let    <sub>1</sub> be the mean of a sample of 16 observations randomly chosen from this population,and    <sub>2</sub> be the mean of a sample of 25 observations randomly chosen from the same population. -Evaluate the statement P(μ - 0.2σ <    <sub>1</sub> < μ + 0.2σ)< P(μ - 0.2σ <    <sub>2</sub> < μ + 0.2σ)as to whether it is true or false.Please state if you are unable to determine whether the statement is true or false.Support your answer.
1 be the mean of a sample of 16 observations randomly chosen from this population,and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ.Let    <sub>1</sub> be the mean of a sample of 16 observations randomly chosen from this population,and    <sub>2</sub> be the mean of a sample of 25 observations randomly chosen from the same population. -Evaluate the statement P(μ - 0.2σ <    <sub>1</sub> < μ + 0.2σ)< P(μ - 0.2σ <    <sub>2</sub> < μ + 0.2σ)as to whether it is true or false.Please state if you are unable to determine whether the statement is true or false.Support your answer.
2 be the mean of a sample of 25 observations randomly chosen from the same population.
-Evaluate the statement P(μ - 0.2σ < THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ.Let    <sub>1</sub> be the mean of a sample of 16 observations randomly chosen from this population,and    <sub>2</sub> be the mean of a sample of 25 observations randomly chosen from the same population. -Evaluate the statement P(μ - 0.2σ <    <sub>1</sub> < μ + 0.2σ)< P(μ - 0.2σ <    <sub>2</sub> < μ + 0.2σ)as to whether it is true or false.Please state if you are unable to determine whether the statement is true or false.Support your answer.
1 < μ + 0.2σ)< P(μ - 0.2σ < THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable X follow a normal distribution with a mean of μ and a standard deviation of σ.Let    <sub>1</sub> be the mean of a sample of 16 observations randomly chosen from this population,and    <sub>2</sub> be the mean of a sample of 25 observations randomly chosen from the same population. -Evaluate the statement P(μ - 0.2σ <    <sub>1</sub> < μ + 0.2σ)< P(μ - 0.2σ <    <sub>2</sub> < μ + 0.2σ)as to whether it is true or false.Please state if you are unable to determine whether the statement is true or false.Support your answer.
2 < μ + 0.2σ)as to whether it is true or false.Please state if you are unable to determine whether the statement is true or false.Support your answer.

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