You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ=78.7 Ha:μ<78.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=41 with a mean of ¯x=73.3 and a standard deviation of s=19.1. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.) standardized test statistic = The standardized test statistic is... in the critical region not in the critical region This standardized 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 78.7. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.7. The sample data support the claim that the population mean is less than 78.7. There is not sufficient sample evidence to support the claim that the population mean is less than 78.7.
You wish to test the following claim (Ha) at a significance level of α=0.005.
Ho:μ=78.7
Ha:μ<78.7
You believe the population is
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)
standardized test statistic =
The standardized test statistic is...
- in the critical region
- not in the critical region
This standardized 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 78.7.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.7.
- The sample data support the claim that the population mean is less than 78.7.
- There is not sufficient sample evidence to support the claim that the population mean is less than 78.7.
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