1.The Great Boston Molasses flood occurred in 1919. United States Industrial Alcohol built a 2.3 million gallon molasses tank which leaked greatly. All tanks leaked in those days and the company claimed that the tank was fine. If the tank failed, it would send a 15-foot wave of molasses through the streets of Boston.

A. Identify the null and alternative hypothesis.

B. What 4 decisions can be made about the molasses tank?

C. Identify the Type I and Type II error.

D. Which decision will be worse for United States Industrial Alcohol.

E. Which decision will be worse for the people of Boston.

2. The time it takes to drive to work by employees at a factory is believed to be normally distributed. The manager suspects that the long distance traveled by some workers is causing them to be late, so she decides that if the mean time that the employees travel to work is more than 30 minutes, then she will work longer lunch breaks into the day to make sure that the shifts are at least 8 hours of work even if her employees are late. She takes a random sample of 10 employees to determine the mean time it takes employees to drive to work.The results are listed below. Assume= 0.10. Is there enough evidence to support the managers claim?(Use thep-valuemethod)

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3. The 2010 census found that about 3% of all Americans filed for unemployment that year. A town believes their current unemployment rate is different than the national rate and takes a random sample of residents and finds out that 7 out of 469 residents filed for unemployment that year. If there evidence to conclude that the unemployment rate for this town is different then the national rate?(Use theTraditionalmethod)

4.According to the US Bureau of the Census, the average annual salary of full-time state employees was $49,056 in New York. Assume that the population standard deviation for the salaries of all full time employees in New York was $9000.Suppose that the mean salary based on a random sample of 500 full time employees from New York is $48500. Is the US Bureau of the Census over reporting the average annual salary of full time state employees.(Use thetraditionalmethod)

5. A race publication reports that the average winning time for the six-furlong race is 1 minute and 10.8 seconds. Records of previous race suggested that the variance if 1 second. These are winning times for the six-furlong races at Santa Anita Part.

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A stable worker at the track thinks the average winning time is different than the racing publication claims. If the worker right? Assume= 0.01(Use thep-valuemethod)

6. Mark is an avid golfer. He claims that his average drive is greater than 250 yards. He decided to measure his next 14 drives from a round of golf. Here are the distances, in yards:

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On average are Mark's drives greater than 250 yards?Assume(Use thep-valuemethod)

7. A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 2.9 hours with a variance of 0.36. A government group conducts an independent study on the new pill, claiming that the actual variance of increasing sleeping time is different from the advertised variance. The government groups tests 12 insomniacs, chosen at random, with the new pill. The insomniacs report a mean daily sleeping increase of 2.8 hours with a variance of 0.18. Test the government's claim at a 0.10 level of significance.