The graph to the right portrays the decision criterion for a hypothesis test for a population mean u. The null hypothesis for the test is Ho: = Ho. The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through () below. Reject Do not reject Ho Ho 1 0.04 I/ -1.751 6 a. Determine the rejection region. O A. z> - 1.751 O B. z>1.751 O C. zs - 1.751 O D. zs -1.751 or z2 1.751 b. Determine the nonrejection region. O A. -1.751szs1.751 Question Viewer O B. - 1.751 -1.751 c. Determine the critical value(s). z= (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)
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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