An energy company wants to choose between 2 regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 mph. Assume the population standard deviation is 2.9 mph. The mean wind speed in Region B is 15.1 mph. Assume the population standard deviation is 3.3 mph. At a=0.05, can the company support the researchers claim? Complete parts A-D. (a) Identify the claim and state Ho and H₂.What is the claim?OA. The wind speed in Region A is less than the wind speed in Region B.OB. The wind speed in Region A is the same as the wind speed in Region B.OC. The wind speed in Region A is not greater than the wind speed in Region B.OD. The wind speed in Region A is not less than the wind speed in Region B.Let Region A be sample 1 and let Region B be sample 2. Identify Ho and HaHo: Pна: 141(b) Find the critical value(s) and identify the rejection region.H₂0.(Round to two decimal places as needed. Use a comma to separate answers as needed.)=The critical value(s) is/are ZoWhat is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.(Round to two decimal places as needed.)A. z<B. z>OC. z<or z> glon A is the same as the wind speed in Region B.OC. The wind speed in Region A is not greater than the wind speed in Region B.OD. The wind speed in Region A is not less than the wind speed in Region B.Let Region A be sample 1 and let Region B be sample 2. Identify Ho and HaHo: P₁на: 01(b) Find the critical value(s) and identify the rejection region.The critical value(s) is/are zo = -(Round to two decimal places as needed. Use a comma to separate answers as needed.)H22What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.(Round to two decimal places as needed.)OA. z<O B. z>OC. z<or z>(c) Find the standardized test statistic z.Z =(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.Ho. Thereenough evidence at the 5% level of significance tothe researcher's claim that the wind speed in Region A isthe wind speed in Region

a) Suppose µ1 and µ2 are the population mean wind speeds of region A and B, respectively.

Answered: An energy company wants to choose…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An energy company wants to choose between 2 regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 mph. Assume the population standard deviation is 2.9 mph. The mean wind speed in Region B is 15.1 mph. Assume the population standard deviation is 3.3 mph. At a=0.05, can the company support the researchers claim? Complete parts A-D.

(a) Identify the claim and state Ho and H₂.
What is the claim?
OA. The wind speed in Region A is less than the wind speed in Region B.
OB. The wind speed in Region A is the same as the wind speed in Region B.
OC. The wind speed in Region A is not greater than the wind speed in Region B.
OD. The wind speed in Region A is not less than the wind speed in Region B.
Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha
Ho: P
на: 141
(b) Find the critical value(s) and identify the rejection region.
H₂
0.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
=
The critical value(s) is/are Zo
What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.
(Round to two decimal places as needed.)
A. z<
B. z>
OC. z<
or z>

glon A is the same as the wind speed in Region B.
OC. The wind speed in Region A is not greater than the wind speed in Region B.
OD. The wind speed in Region A is not less than the wind speed in Region B.
Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha
Ho: P₁
на: 01
(b) Find the critical value(s) and identify the rejection region.
The critical value(s) is/are zo = -
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
H2
2
What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.
(Round to two decimal places as needed.)
OA. z<
O B. z>
OC. z<
or z>
(c) Find the standardized test statistic z.
Z =(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
Ho. There
enough evidence at the 5% level of significance to
the researcher's claim that the wind speed in Region A is
the wind speed in Region

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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