A group of researchers are interested in the possible effects of distracting stimuli duringeating, such as an increase or decrease in the amount of food consumption. To test thishypothesis, they monitored food intake for a group of 44 patients who were randomizedinto two equal groups. The treatment group ate lunch while playing solitaire, and thecontrol group ate lunch without any added distractions. Patients in the treatmentgroup ate 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patientsin the control group ate 27.1 grams of biscuits, with a standard deviation of 26.4 grams.Determine if the data are paired or not. Explain your reasoning.
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!
1. A group of researchers are interested in the possible effects of distracting stimuli duringeating, such as an increase or decrease in the amount of food consumption. To test thishypothesis, they monitored food intake for a group of 44 patients who were randomizedinto two equal groups. The treatment group ate lunch while playing solitaire, and thecontrol group ate lunch without any added distractions. Patients in the treatmentgroup ate 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patientsin the control group ate 27.1 grams of biscuits, with a standard deviation of 26.4 grams.Determine if the data are paired or not. Explain your reasoning.
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