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A company has a new process for manufacturing large articial sapphires. In a trial run, 37 sapphires are randomly selected. The mean weight for these

A company has a new process for manufacturing large articial sapphires. In a trial run, 37 sapphires are randomly selected. The mean weight for these gems is x=6.75carats, and the sample standard deviation is s=0.33 carat. Letbe 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 the degrees of freedom in this problem?

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

  • Find the Margin of error (E)

  • Find a 95% confidence interval for

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

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