72 x: 7,7, 6, 8, 11, 5, 5, 5, 7, 3, 4, 5, 8, 4 y: 69, 71, 73, 64, 62, 73, 62, 69, 68, 74, 75, 78, 65, 72 Conduct a hypothesis test with a 7% level of significance to determine whether or not there is a significant linear correlation between the number of classes a student misses and their score on the final exam. Step 1: State the null and alternative hypotheses. Ho:P Ha:p # (So we will be performing a two-tailed test.) Part 2 of 4 Step 2: Determine the features of the distribution used to test the significance of the correlation coefficient. To test the significance of the correlation coefficient, we will use a t-distribution with 12 v degrees of freedom. Part 3 of 4 Step 3: Find the p-value of the point estimate. P(r sv P(
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!
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