Before accepting a large shipment of bolts, the director of an elevator construction project checks

The tensile strength of a simple random sample consisting of 20 bolts. She is concerned that the bolts may be counterfeits, which bear the proper markings for this grade of bolt, but are made from inferior

materials. For this application, the genuine bolts are known to have a tensile strength that is normally

distributed with a mean of 1400 pounds and a standard deviation of 30 pounds. The mean tensile

strength for the bolts tested is 1385 pounds.

Formulate and carry out a hypothesis test, using the critical value approach and at a 3% level of

significance to examine the possibility that the bolts in the shipment might not be genuine.Be sure to

show all the steps of this approach i.e..i. state H₀and H_A, ii. select, select the test statistic (giving reason

for your choice) and compute it, iii. get the critical value, iv .compare the test statistic, v. state your decision,

and vi. explain (interpret) your conclusion

Identify and interpret the p-value for the test.