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When testing a hypothesis about a single mean, if the sample size is 51 and the population standard deviation is known, the correct test statistic to use is ___________.

Respuesta :

Answer:

z-statistic

Step-by-step explanation:

We have to identify the correct test statistic to use with the given conditions.

  • If the sample size is larger than 30, then the sample is considered to be large.
  • We are given a sample size of 51, which is a a large sample.
  • Also, the population standard deviation is known.
  • Thus, we use the z-statistic when testing a hypothesis about a single mean.
  • Formula:

[tex]z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }[/tex]

where [tex]\bar{x}[/tex] is the sample mean, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the population standard deviation and n is the sample size.

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