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You wish to test the following claim (HaHa) at a significance level of =0.01=0.01. Ho:=75.1Ho:=75.1 Ha: <75.1Ha: <75.1 You believe the population is normally distributed,

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

Ho:=75.1Ho:=75.1 Ha:<75.1Ha:<75.1

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=18n=18 with mean x=71x=71 and a standard deviation of s=17.5s=17.5.

  1. What is the test statistic for this sample?
  2. What is the p-value for this sample?
  3. The p-value is... -less than (or equal to) OR. 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 75.1.
    • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 75.1.
    • The sample data support the claim that the population mean is less than 75.1.
    • There is not sufficient sample evidence to support the claim that the population mean is less than 75.1

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