For each of the following questions I need

a) state they hypothesis

b) state the 1 and 2 type errors

c) state the consequence of each error

d) is one more serious? why?

1) You have created a new manufacturing method for producing widest which you claim will reduce the time necessary for assembling the parts. Currently it takes 75 seconds to produce a widget. The retooling of the plant doe this change is very expensive and will involve a lot of down-time.

2)You are interested in building a new restaurant in an area if the income level is high enough to support the business. In order to open the restaurant, you estimate that a per capita income of $45,000 is needed.

3) Weatherwise is a magazine published in association with the American Meteorological Society. In one issue there is a rating system to classify Nor'easter storms that frequently hit New England states and can cause much damage near ocean coasts. A "severe" storm has an average peak wave height of 16.4 feet with standard deviation of 3.2 feet for waves hitting the shore. suppose that a Nor'easter is in progress at the severe storm rating. A random reading of 36 peak waves showed an average wave height of 15.4 feet.

a) Perform an appropriate significance test. Pick an appropriate a level. Should the storm's rating be down-graded?

4) A manufacture of handheld calculators receives very large shipments of printed circuits from a supplier. It is too costly and time consuming to inspect all incoming circuits, so when each shipment arrives, a sample is selected for inspection. The shipment is rejected only if the proportion of defective circuits is more than 5% and the entire shipment is returned to the supplier due to inferior quality.