Question: Please help me understand how to do this. I get confused on the steps. You wish to test the following claim (Ha) at a significance

Please help me understand how to do this. I get confused on the steps.

You wish to test the following claim (Ha) at a significance level of =0.002

Ho:=60.5 Ha:<60.5

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=9n with mean x=56.4 and a standard deviation of s=13.6

  1. What is the test statistic for this sample? test statistic = (Round to 3 decimal places)
  2. What is the p-value for this sample? p-value = (Round to 4 decimal places.)
  3. The p-value is...
  • less than (or equal to)
  • greater than

4.This test statistic leads to a decision to...

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

5.As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the population mean is less than 60.5.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 60.5.
  • The sample data support the claim that the population mean is less than 60.5.
  • There is not sufficient sample evidence to support the claim that the population mean is less than 60.5.

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