Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have following salaries (in $1000s): S = ( 70, 80, 90 ) The average and the standard deviation of the data in the sample S are 80 and 10, respectively. Using hypothesis testing, determine if this sample provides a sufficient evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $60,000? Make sure that you state the following in your work. Null null hypothesis, • Alternative hypothesis, Test statistic, • Acceptance region, Conclusion (Based on the test statistic obtained from the sample, do we accept or reject the null hypothesis at a 10% level of significance? And why?)

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Salaries of entry-level computer engineers have Normal distribution with unknown
mean and variance. Three randomly selected computer engineers have following
salaries (in $1000s):
S = ( 70, 80, 90 )
The average and the standard deviation of the data in the sample S are 80 and 10,
respectively.
Using hypothesis testing, determine if this sample provides a sufficient evidence,
at a 10% level of significance, that the average salary of all entry-level computer
engineers is different from $60,000?
Make sure that you state the following in your work.
Null null hypothesis,
• Alternative hypothesis,
Test statistic,
Acceptance region,
Conclusion (Based on the test statistic obtained from the sample, do we
accept or reject the null hypòthesis at a 10% level of significance? And why?)
Transcribed Image Text:Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have following salaries (in $1000s): S = ( 70, 80, 90 ) The average and the standard deviation of the data in the sample S are 80 and 10, respectively. Using hypothesis testing, determine if this sample provides a sufficient evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $60,000? Make sure that you state the following in your work. Null null hypothesis, • Alternative hypothesis, Test statistic, Acceptance region, Conclusion (Based on the test statistic obtained from the sample, do we accept or reject the null hypòthesis at a 10% level of significance? And why?)
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