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  3. you wish to test the following claim (haha) at a s

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.       Ho:μ=88.9       Ha:μ>88.9 You believe the...

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Statistics

You wish to test the following claim (HaHa) at a significancelevel of α=0.001α=0.001.

      Ho:μ=88.9
      Ha:μ>88.9

You believe the population is normally distributed, but you do notknow the standard deviation. You obtain a sample of size n=79 withmean M=91.5 and a standard deviation of SD=16.3

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

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

The p-value is... (choose one)

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



This test statistic leads to a decision to...(choose one)

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



As such, the final conclusion is that...(choose one)

  • There is sufficient evidence to warrant rejection of the claimthat the population mean is greater than 88.9.
  • There is not sufficient evidence to warrant rejection of theclaim that the population mean is greater than 88.9.
  • The sample data support the claim that the population mean isgreater than 88.9.
  • There is not sufficient sample evidence to support the claimthat the population mean is greater than 88.9.

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