You are a Business Analyst working for the ABC Ball Bearing company. An hour ago, you sent an order
of 74 boxes of your A1 ball bearings to a customer on your delivery truck. You have just found out that
your truck is going to go over a bridge that has a weight limit of 11,500 lbs. You need to determine if
your truck will safely make it over the bridge. If you determine that the truck cannot make it over the
bridge, you will need to call the driver and have him/her turn back.
The plant manager has told you that an empty delivery truck with the driver weights about 8500 lbs.
You have 30 boxes of the A1 ball bearings in your plant. You immediately had them weighed. The
weights of the boxes are:
40.1
41.1 39.5 40.1 39.1
41.2 37.6 39.1 41.6 40.8
43.2 38.9 38.1 43.5 36.9
39.1 40.5 41.2 37.6 44.0
38.0 39.8 42.1 38.6 41.3
43.7 36.9 43.6 38.1 40.2
1. Calculate the Mean and the Standard Deviation of this sample.
2. Using the normal distribution curve, calculate the probability the truck’s total weight is under 11,500
lbs. What is your decision? Will you allow the truck to continue or will you call the driver and tell
him/her to turn back? Show all of your calculations.
Assignment Details Close
Unit 3 – Individual Project (175 points)
Due: Tue, Mar 5 |
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3. Discuss several types of sampling: e. convenience sampling, random sampling, stratified sampling,
systematic sampling or cluster sampling. Discuss which type of sampling is used in this scenario.
4. Discuss what sampling bias is. Do you believe that using the 30 boxes in your warehouse caused
sampling bias?
5. What does the central limit theorem state and why is it important to solving this problem. Is the
thirty boxes of ball bearings enough to predict the probability of safely going over the bridge?
