Question

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:μ=68.7Ho:μ=68.7       Ha:μ<68.7Ha:μ<68.7...

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.

      Ho:μ=68.7Ho:μ=68.7
      Ha:μ<68.7Ha:μ<68.7

You believe the population is normally distributed and you know the standard deviation is σ=5.5σ=5.5. You obtain a sample mean of M=67.3M=67.3 for a sample of size n=18n=18.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

  • less than (or equal to) αα
  • greater than αα



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null



As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the population mean is less than 68.7.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 68.7.
  • The sample data support the claim that the population mean is less than 68.7.
  • There is not sufficient sample evidence to support the claim that the population mean is less than 68.7.

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