A company claims that the mean monthly residential electricity consumption in a certain region is more than 880 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 67 residential customers has a mean monthly consumption of 900 kWh. Assume the population standard deviation is 130 kWh. At a=0.01, can you support the daim? Complete parts (a) through (e).
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!
![A company claims that the mean monthly residential electricity consumption in a certain region is more than 880 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 67 residential customers has a mean monthly
consumption of 900 KWh. Assume the population standard deviation is 130 kWh. At a0.01, can you support the dlaim? Complete parts (a) through (e)
(a) Identify Ho and H Choose the correct answer below.
OB. H: u= 900
H u 900 (claim)
O A. Ho: u> 900 (daim)
H us900
OC. Hoi us900
Hiu> 900 (dlaim)
OD. H:= 880 (claim)
Hu 880
OE. H uS 880
Hu> 880 (claim)
OF. Hai> 880 (claim)
Hus 880
(b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fil in the answer box within your choice. Use technology.
(Round to two decimal places as needed.)
O A. The critical values are
O B. The critical value is.
Identity the rejection region(s). Select the correct choice below.
O A. The rejection regions are z<-2.33 and z>2.33.
OB. The rejection region is z<2.33.
OC. The rejection region is z>2.33.
(c) Find the standardized test statistic. Use technology.
The standardized test statistic is z=
(Round to two decimal places as needed.)
Click to select your answer(s).
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