$2$ Question: A chemist analyzes a sample of iron ore furnished by the National Institute of Standards and Technology, NIST. He obtains the following results:...

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A chemist analyzes a sample of iron ore furnished by the National Institute of Standards and Technology. NIST, He obtains the following results: $\stackrel{}{x}=10\mathrm{.}52\%,s=0\mathrm{.}05,n=10.$ The NIST's value for this sample is $10\mathrm{.}60\%Fe.$ Is the chemist's result $($mean$)$ significantly different at the $95\%$ confidence level?

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