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You wish to test the following claim (H1) at a significance level of =0.001 Ho:=88.7 H1:>88.7 You believe the population is normally distributed, but you

You wish to test the following claim (H1) at a significance level of =0.001

Ho:=88.7

H1:>88.7

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen=799with meanx=89.7 and a standard deviation ofs=7.2

.

What is the test statistic for this sample? (Report answer accurate to two 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 greater than 88.7.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 88.7.
  • The sample data support the claim that the population mean is greater than 88.7.
  • There is not sufficient sample evidence to support the claim that the population mean is greater than 88.7.

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