2) Suppose we want to test to see if a die is "fair". When the die is tossed 240 times the following results are obtained. Value: 1 3 4 6. observed frequency: 36 47 35 42 44 36 a) find the expected frequencies if the die is fair. b) calculate the chi-squared statistics. c) find the 5% critical value d) test the hypothesis that the die is fair

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next.     Opinion  Front Footage For Undecided Against  Under 45 feet 12 4 4  45-120 feet 35 5 30  Over 120 feet 3 2 5 What is the expected frequency for people against the project and who have over 120 feet of property foot-frontage?   Select one: a. 1.1 b. 3.9 c. 5.0 d. 5.5

Indrilling a vertical wellbore, the spacing between major fractures are recorded. It has been found that this spacing is having a mean of 180o ft and a variance of 3,240,000 ft In the first 2000 ft drilling, there was no present of major fracture in the well. Determine the probability that there is a major fracture at the depth of 2000-3500 ft. Select one: a.0.57 b.o.43 C. O.19 do 82