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You wish to test the following claim (HaHa) at a significance level of=0.05=0.05. Ho:=86.1Ho:=86.1 Ha: <86.1Ha: <86.1 You believe the population is normally distributed, but

You wish to test the following claim (HaHa) at a significance level of=0.05=0.05. Ho:=86.1Ho:=86.1 Ha:<86.1Ha:<86.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

data
58.2
75.8
55.6
44.1
56.1
72.5

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)
  • greater than

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 86.1.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 86.1.
  • The sample data support the claim that the population mean is less than 86.1.
  • There is not sufficient sample evidence to support the claim that the population mean is less than 86.1.

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