A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 61 residential customers has a mean monthly consumption of 910 kWh. Assume the population standard deviation is 127 kWh. At a = 0.05, can you support the claim? Complete parts (a) through (e). (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer box within your choice. Use technology. (Round to two decimal places as needed.) O A. The critical values are i O B. The critical value is Identify the rejection region(s). Select the correct choice below. O A. The rejection region is z>1.64. O B. The rejection region is z<1.64. OC. The rejection regions are z< -1.64 and z>1.64. (c) Find the standardized test statistic. Use technology. The standardized test statistic isz=. (Round to two decimal places 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!
Below is the complete question for (e).
At the 5% significance level, there is not / is enough evidence to reject / support the claim that the
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