residential electricity consumption in a certain region is more than 860 ​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 880 kWh. Assume the population standard deviation is 130 kWh. At α=0.05​, can you support the​ claim? Complete parts​ (a) through​ (e). ​(a) Identify H0 and Ha. Choose the correct ans

Q: z-scores are normally distributed with a mean of 0 and a standard deviation of 1.

A: Solution : Let z-scores are normally distributed with a mean of 0 and a standard deviation of 1.

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Q: Refer to the figure at the right. At α=0.01​, can you reject the claim that the proportion of 18…

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Q: An IQ test is designed so that the mean is 100 and the standard deviation is 11 for the population…

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Q: 1. Find the equation of the normal line at a given point. y = - @ (5,1)

A:

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Q: The systolic blood pressure (given in millimeters) of males has an approximately normal distribution…

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Q: Estimate the absolute deviation and the coefficient of variation for the result of the calculation…

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Q: The quantity x is measured as 2 ± 0.1 and the quantity y is measured as 3 ± 0.2. If z = 4x 2 + y 2 ,…

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A: Formula :

Q: H0:μ=29.345 H1:μ≠29.345 Your sample consists of 27 subjects, with a mean of 28.9 and standard…

A: It is given that the sample mean is 28.9 and the standard deviation is 1.91.

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Q: at x=3.

A:

Q: Week no. 6 Exercises. Normal Distributions(part 2) L. Solve for Z and find its area 1. Mean=81,…

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Q: For data that is not normally distributed we can't use z-scores. However, there is an equation that…

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Q: 11142-782 CQ-1

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Q: Let E(X) = 7 and E[(X-3)2]= 137. What is the standard deviation of X?

A:

Q: We take a random sample of 16 scores from a Math Exam and the sample mean is 80 (the population…

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Q: Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores…

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Q: exam with µ = 52, a person has a score of X = 44. Which value for the standard deviation would give…

A: From the given information we find the solution.

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!