Which of the following statements are correct when deciding whether to use the z or the t distribution?A. Use z when we have a normal population and we know the standard deviation B. Use t when the population is normal and the population standard deviation is not known

Respuesta :

The answer is B because

Using normal distribution concepts, we can conclude that the correct statement is:

B. Use t when the population is normal and the population standard deviation is not known

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  • Both the z and the t distributions are for normal variables.
  • If the population standard deviation is known, the z-distribution is used.
  • If the population standard deviation is now known, only the sample standard deviation, the t-distribution is used.
  • Option A is wrong as the standard deviation is know in both cases, only in one case it is the sample(t-distribution) and the other is the population(z-distribution).
  • Thus, option B is correct.

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