According to the National Center for Health Statistics, in the United States mothers who live in poverty generally have babies with lower birthweight than those who do not live in poverty. While the average birthweight for babies born in the U.S. is approximately 3300 grams, the average birthweight for women living in poverty is 2800 grams. A hospital introduced a prenatal care program to address this problem and enrolled 25 mothers who live in poverty. Babies born to these women had a mean birthweight of 3075g with a standard deviation of 500g. Is the program effective in improving the birthweight of babies born to poor mothers? Assume α = 0.05. Which mean do I use to create my null hypothesis and alternative hypothesis? is this a right-tailed test?
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!
According to the National Center for Health Statistics, in the United States mothers who live in poverty generally have babies with lower birthweight than those who do not live in poverty. While the average birthweight for babies born in the U.S. is approximately 3300 grams, the average birthweight for women living in poverty is 2800 grams. A hospital introduced a prenatal care program to address this problem and enrolled 25 mothers who live in poverty. Babies born to these women had a mean birthweight of 3075g with a standard deviation of 500g. Is the program effective in improving the birthweight of babies born to poor mothers? Assume α = 0.05.
Which mean do I use to create my null hypothesis and alternative hypothesis? is this a right-tailed test?
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