Question: A contractor working for the US Government has asked for your assistance in determining the acceptability of structural bolts they are making. The bolts must be 1.84 centimeters in diameter. You select 12 random bolts from the pile and measure them getting the following results:

a) Based on your sample (assuming the bolt sizes are normally distributed) can the government say to a level of significance of α=0.05, that the contractor is not meeting the 1.84 diameter standard? Show all your work. (20 Points)