A health researcher is trying to determine if a weight loss program is effective. To do this, she recruits 30 men who are between 30-60 pounds over their ideal weight. Each participant is asked to follow a strict diet and exercise routine for 6 months, and the weight lost in pounds is recorded. 24 15 41 16 31 56 5 35 27 21 28 4 42 30 40 16 29 23 29 42 31 5 18 57 43 30 17 27 13 30 Run a one-sample t test on the true mean in the population that answers this research question: is there enough evidence to show at α = .05 that true mean weight lost in the relevant population of all overweight men using this program is greater than 20 pounds? m. Please fill out the steps below, Ho S.V.
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!
A health researcher is trying to determine if a weight loss program is effective. To do this, she recruits 30 men who are between 30-60 pounds over their ideal weight. Each participant is asked to follow a strict diet and exercise routine for 6 months, and the weight lost in pounds is recorded.
24 15 41 16 31 56 5 35 27 21
28 4 42 30 40 16 29 23 29 42
31 5 18 57 43 30 17 27 13 30
Run a one-sample t test on the true mean in the population that answers this research question: is there enough evidence to show at α = .05 that true mean weight lost in the relevant population of all overweight men using this program is greater than 20 pounds? m. Please fill out the steps below,
Ho S.V.
Ha Dec.
T.S. Concl.
R.R. (Draw) p-value > .05 which is NS or
< .05 which is SIG (circle one)
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