The mean age of first marriage for men in the United States is 25. The mean age at which men marry in California based upon a sample of 49 men is 24 with a sample standard deviation of 2.8 years. Answer the following questions based upon the above paragraph: d) What is the Margin of error? e) Based upon the sample of 49 men: can the average age men marry for the first time in California be the same as the average age in the United States.?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The mean age of first marriage for men in the United States is 25. The mean age at which men marry in California based upon a sample of 49 men is 24 with a sample standard deviation of 2.8 years. Answer the following questions based upon the above paragraph:
d) What is the Margin of error?
e) Based upon the sample of 49 men: can the average age men marry for the first time in California be the same as the average age in the United States.?
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