Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 42 new homes indicated that the mean cost was $123.87 and the standard deviation was $15. Can it be concluded that the mean cost differs from $117.91, using the 0.05 level of significance? Use the P-value method. Use a graphing calculator. Find the p-value. Round the answer to 4 decimal places.
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!
Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 42 new homes indicated that the mean cost was $123.87 and the standard deviation was $15. Can it be concluded that the mean cost differs from $117.91, using the 0.05 level of significance? Use the P-value method. Use a graphing calculator.
Find the p-value. Round the answer to 4 decimal places.
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