The standard deviation of a particular dimension on a machine part is known to be 0.0053 inches. A normal distribution is followed. Four parts coming off the production line are measured, giving readings of 2.747 in, 2.739 in, 2.750 in, and2.749 in. Is the sample mean significantly larger than 2.740 inches at the l% level of significance? What is the probability of accepting the null hypothesis if the true mean is 2.752 in. and the standard deviation remains unchanged? (Notice that this would be a Type II error.)

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