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 the degrees of freedom in this problem? Use table or Technology to find t-critical value with degrees of freedom found above and with α=0.05  significance level. Find the Margin of error (E)

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