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Test the claim that the mean GPA of night students is smaller than 2.7 at the .025 significance level. The null and alternative hypothesis would

Test the claim that the mean GPA of night students is smaller than 2.7 at the .025 significance level.

The null and alternative hypothesis would be:

  • H0:p=0.675
  • H1:p<0.675

  • H0:p=0.675
  • H1:p0.675

  • H0:=2.7
  • H1:<2.7

  • H0:=2.7
  • H1:>2.7

  • H0:p=0.675
  • H1:p>0.675

  • H0:=2.7
  • H1:2.7

Based on a sample of 55 people, the sample mean GPA was 2.65 with a standard deviation of 0.07

The test statistic is(to 3 decimals)

The critical value is(to 3 decimals)

Based on this we

  • reject the null hypothesis
  • fail to reject the null hypothesis

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