group of 44 people were randomized into two equal-sized groups (22 in each). The treatment group ate lunch while playing a video game, and the control group ate lunch without any added distractions. Everyone was asked to recall the food items they ate. The average (or mean)number of items recalled by people in the treatment (gaming) group was 4.9, with a standard deviation of 1.8. The average (or mean) number of items recalled by people in the control (no- distraction) group was 6.1, with a standard deviation of 1.8. Do these data provide strong evidence that the average number of food items recalled by the patients in the treatment and control groups are different? (Since it’s inference for the difference of two means, conduct a t-test.) Assume the conditions for inference are satisified.
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 group of 44 people were randomized into two equal-sized groups (22 in each). The treatment group ate lunch while playing a video game, and the control group ate lunch without any added distractions. Everyone was asked to recall the food items they ate. The average (or mean)number of items recalled by people in the treatment (gaming) group was 4.9, with a standard deviation of 1.8. The average (or mean) number of items recalled by people in the control (no- distraction) group was 6.1, with a standard deviation of 1.8. Do these data provide strong evidence that the average number of food items recalled by the patients in the treatment and control groups are different? (Since it’s inference for the difference of two means, conduct a t-test.) Assume the conditions for inference are satisified.
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