The length of a construction part manufactured by a supplier follows a normal distribution with an unknown σ. The design length is 33.00 centimeters. Seven parts were randomly selected from the warehouse and measured. The actual lengths in centimeters were as follows: Questions: 10 αv 0.950 0.960 0.975 0.980 0.995 1 Part 1 Part 2 Part 3 Part 4 Part 5 Part 6 Part 7 38.39 31.82 36.67 38.31 32.08 34.36 40.50 (a)[6] At α = 0.04, test to see if a typical manufactured part would conform to the design length. Make sure to define the hypotheses first, make a sketch of the test, and then carry out the test. (b)[4] Sketch and find the p‐value. Would you reject the null if α = 0.07? Explain with a sketch. Hint: Use 5 decimals. Refer to some Excel lookups: