and standard deviation was 4.9lb. Assume that the population standard deviation is 5.0 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 1.5. Find the significance level. 2. When 50 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and standard deviation was 4.9lb. Assume that the population standard deviation is 5.0 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 1.5. Find the test statistic. Round to four decimal places. 3. When 50 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and standard deviation was 4.9lb. Assume that the population standard deviation is 5.0 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 1.5. Find the p-value that associated with the test statistic. Round to four 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!
1. When 50 people used the Weight Watchers diet for one year, their
Find the significance level.
2. When 50 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and standard deviation was 4.9lb. Assume that the population standard deviation is 5.0 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 1.5.
Find the test statistic. Round to four decimal places.
3. When 50 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and standard deviation was 4.9lb. Assume that the population standard deviation is 5.0 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than 1.5.
Find the p-value that associated with the test statistic. Round to four decimal places.
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