What is wrong? in each of the following situations, identify waht is wrong and then explain why it is wrong or change the wording of the statement to make it true. a) As the degrees of freedom K decrease, the t distrubution density curve gets closer to the N (0,1) curve. b) The standard error of the sample mean is s^2/n c) A researcher wants to test H0: X with line on top = 30 versus the one - sided alternative Ha: X withb line on top < 30 d) The 95% margin of error for the mean of a normal population with unknown standard deviatiation is the same for all SRS of size n
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!
What is wrong? in each of the following situations, identify waht is wrong and then explain why it is wrong or change the wording of the statement to make it true.
a) As the degrees of freedom K decrease, the t distrubution density curve gets closer to the N (0,1) curve.
b) The standard error of the sample
c) A researcher wants to test H0: X with line on top = 30 versus the one - sided alternative Ha: X withb line on top < 30
d) The 95% margin of error for the mean of a normal population with unknown standard deviatiation is the same for all SRS of size n
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