An energy company wants to choose between two 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 13.9 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.2 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At α=0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. What is the claim? A. The wind speed in Region A is the same as the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is not greater than the wind speed in Region B. D. 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 H0 and Ha. H0: μ1 greater than or equals≥ less than or equals≤ greater than> less than< not equals≠ μ2 Ha: μ1 greater than or equals≥ less than or equals≤ greater than> less than< not equals≠ (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z0= (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) A. z< or z> B. z> C. 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. ▼ H0. There is not or is enough evidence at the 5% level of significance to ▼ reject or support the researcher's claim that the wind speed in Region A is ▼ the same as less then not greater than not less than the wind speed in Region B.

An energy company wants to choose between two 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 13.9 miles per hour. Assume the population standard deviation is 2.7 miles per hour. The mean wind speed in Region B is 15.2 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At α=0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. What is the claim? A. The wind speed in Region A is the same as the wind speed in Region B. B. The wind speed in Region A is less than the wind speed in Region B. C. The wind speed in Region A is not greater than the wind speed in Region B. D. 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 H0 and Ha. H0: μ1 greater than or equals≥ less than or equals≤ greater than> less than< not equals≠ μ2 Ha: μ1 greater than or equals≥ less than or equals≤ greater than> less than< not equals≠ (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z0= (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) A. z< or z> B. z> C. 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. ▼ H0. There is not or is enough evidence at the 5% level of significance to ▼ reject or support the researcher's claim that the wind speed in Region A is ▼ the same as less then not greater than not less than the wind speed in Region B.

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Description: An energy company wants to choose between two 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

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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days in each region. The mean wind speed in Region A is

13.9

miles per hour. Assume the population standard deviation is

2.7

miles per hour. The mean wind speed in Region B is

15.2

miles per hour. Assume the population standard deviation is

3.1

miles per hour. At

α=0.05,

can the company support the researcher's claim? Complete parts (a) through (d) below.

(a) Identify the claim and state

and

Ha.

What is the claim?

The wind speed in Region A is the same as the wind speed in Region B.

The wind speed in Region A is less than the wind speed in Region B.

The wind speed in Region A is not greater than the wind speed in Region B.

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

and

Ha.

H0:

μ1

greater than or equals≥

less than or equals≤

greater than>

less than<

not equals≠

μ2

Ha:

μ1

greater than or equals≥

less than or equals≤

greater than>

less than<

not equals≠

(b) Find the critical value(s) and identify the rejection region.

The critical value(s) is/are

z0=

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice.

(Round to three decimal places as needed.)

(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.

▼

H0.

There

is not

enough evidence at the

level of significance to

▼

reject

support

the researcher's claim that the wind speed in Region A is

▼

the same as

less then

not greater than

not less than

the wind speed in Region B.

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