You wish to test the following claim (H1) at a significance level of α=0.005       Ho:μ=51.4       H1:μ>51.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=794 with mean ¯x=52.2 and a standard deviation of s=16.7 What is the test statistic for this sample? (Report answer accurate to four 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) αα greater than αα 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 51.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 51.4. The sample data support the claim that the population mean is greater than 51.4. There is not sufficient sample evidence to support the claim that the population mean is greater than 51.4.

MATLAB: An Introduction with Applications
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1. You wish to test the following claim (H1) at a significance level of α=0.005

      Ho:μ=51.4
      H1:μ>51.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=794 with mean ¯x=52.2 and a standard deviation of s=16.7

What is the test statistic for this sample? (Report answer accurate to four 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) αα
  • greater than αα

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 51.4.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 51.4.
  • The sample data support the claim that the population mean is greater than 51.4.
  • There is not sufficient sample evidence to support the claim that the population mean is greater than 51.4.

 

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

      Ho:μ=68.4
      H1:μ>68.4

You believe the population is normally distributed and you know the standard deviation is σ=15.3. You obtain a sample mean of M=73.3M for a sample of size n=71.

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

What is the test statistic for this sample? (Report answer accurate to four 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 68.4.
  • There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 68.4.
  • The sample data support the claim that the population mean is greater than 68.4.
  • There is not sufficient sample evidence to support the claim that the population mean is greater than 68.4.
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