Question: Students t-distribution must be used when making inferences about the population mean, , when the population standard deviation, , is not known is a true

“Student’s t-distribution must be used when making inferences about the population mean, , when the population standard deviation,

, is not known” is a true statement.

Student A states that the z-score sometimes plays a role when the t-distribution is used.

Explain the conditions that exist and the role played by z that make student A’s statement correct.

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