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In: Statistics and Probability

1. A company with a fleet of 1500 cars found that the emissions systems of 17...

1. A company with a fleet of 1500 cars found that the emissions systems of 17 out of the 53 randomly selected cars from their fleet failed to meet pollution control guidelines. If a significant number of vehicles are found to be out of compliance, the whole fleet will need to be inspected and brought up to current regulations. Is there strong evidence that more than 20% of the fleet might be out of compliance? Use a 1% level of significance. Identify Type I and II errors and their consequences.
2. A new formula for a propellant missile is being tested to determine if it is superior to the current formula. From past experience, the mean distance traveled has been 340 miles. Twelve missiles with the new propellant are fired into the Pacific Ocean and their distances measured. The data is given below. Test at the 5% level of significance.
375 376 304 345 368 329 372 347 342 391 400 325

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