You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.       Ho:μ=67.6Ho:μ=67.6       Ha:μ>67.6Ha:μ>67.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=654n=654 with a mean of M=68.3M=68.3 and a standard deviation of SD=7.4SD=7.4. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =  What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =  The test statistic is... in the critical region not in the critical region 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 67.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 67.6. The sample data support the claim that the population mean is greater than 67.6. There is not sufficient sample evidence to support the claim that the population mean is greater than 67.6.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=67.6Ho:μ=67.6
      Ha:μ>67.6Ha:μ>67.6

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=654n=654 with a mean of M=68.3M=68.3 and a standard deviation of SD=7.4SD=7.4.

What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value = 

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

The test statistic is...

  • in the critical region
  • not in the critical region



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 67.6.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 67.6.
  • The sample data support the claim that the population mean is greater than 67.6.
  • There is not sufficient sample evidence to support the claim that the population mean is greater than 67.6.
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