A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are randomly selected. The mean weight for these  gems is  x ¯ = 6.75 carats, and the sample standard deviation is   s = 0.33 carat. Let μ be the mean weight for the distribution of all sapphires produced by the new process. ( Show your work, no work shown, no credit given) What is degrees of freedom in this problem   Use table or Technology to find t-critical value with degrees of freedom found in above and with α = 0.05significance level.       Find the Margin of error (E)       Find 95% confidence interval for μ       Interpret the confidence interval in the context of the problem.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are randomly selected. The mean weight for these  gems is  x ¯ = 6.75 carats, and the sample standard deviation is   s = 0.33 carat. Let μ be the mean weight for the distribution of all sapphires produced by the new process. ( Show your work, no work shown, no credit given)

  • What is degrees of freedom in this problem

 

  • Use table or Technology to find t-critical value with degrees of freedom found in above and with α = 0.05significance level.

 

 

 

  • Find the Margin of error (E)

 

 

 

  • Find 95% confidence interval for μ

 

 

 

  • Interpret the confidence interval in the context of the problem.
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