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7. Professor Acerhead, a respected professor of Materials Science, was hired by the Steel Institute to test the sheer modulus of steel manufactured using two slightly different processes. Initially ten tests were carried out under strict conditions. However, due to some unforeseen circumstances, one result had to be discarded. The remaining results of these tests were as follows (Note: The results are in GPa) Process A Process B Sample size $n_A = 10$ $n_B = 9$ Sample Mean $m_A = 80.1$ $m_B = 79.8$ Sample Standard deviation $s_A = 1.0$ $s_B = 1.2$ (a) Find the 95% confidence limits of the ratio $\sigma_B/\sigma_A$ where $\sigma_A$ and $\sigma_B$ are the true standard deviations of the measurements obtained with process A and process B respectively. State any assumptions you need to make.

          7. Professor Acerhead, a respected professor of Materials Science, was hired by the
Steel Institute to test the sheer modulus of steel manufactured using two slightly
different processes. Initially ten tests were carried out under strict conditions. However,
due to some unforeseen circumstances, one result had to be discarded. The remaining
results of these tests were as follows (Note: The results are in GPa)
Process A		Process B
Sample size		$n_A = 10$		$n_B = 9$
Sample Mean		$m_A = 80.1$		$m_B = 79.8$
Sample Standard deviation	$s_A = 1.0$		$s_B = 1.2$
(a) Find the 95% confidence limits of the ratio $\sigma_B/\sigma_A$ where $\sigma_A$ and $\sigma_B$ are the true
standard deviations of the measurements obtained with process A and process B
respectively. State any assumptions you need to make.

$7. Professor Acerhead, a respected professor of Materials Science, was hired by the Steel Institute to test the sheer modulus of steel manufactured using two slightly different processes. Initially ten tests were carried out under strict conditions. However, due to some unforeseen circumstances, one result had to be discarded. The remaining results of these tests were as follows (Note: The results are in GPa) Process A Process B Sample size nA = 10 nB = 9 Sample Mean mA = 80.1 mB = 79.8 Sample Standard deviation sA = 1.0 sB = 1.2 (a) Find the 95% confidence limits of the ratio $\sigmaB/\sigmaA$ where $\sigmaA$ and $\sigmaB$ are the true standard deviations of the measurements obtained with process A and process B respectively. State any assumptions you need to make.$

Added by F-Tima M.

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