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An energy company wants to choose between two regions in a state to install energy-producing wind turbines, A researdher dlaims 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 2.9 miles per hour. The mean wind speed in Region Bis 15.3 miles per hour. Assume the population standard deviation is 3.1 miles per hour, At a=0.05, can the company support the researcher's daim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. O B. The wind speed in Region A is not greater than the wind speed in Region B: OC. The wind speed in Region A is not less than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H, and H, H,: H 2 H, 2 (b) Find the critical value(s) and identify the rejection region The critical value(s) islare z, = (Round to three decimal places as needed Use a comma tỏ separate answers as needed.)

An energy company wants to choose between two regions in a state to install energy-producing wind turbines, A researdher dlaims 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 2.9 miles per hour. The mean wind speed in Region Bis 15.3 miles per hour. Assume the population standard deviation is 3.1 miles per hour, At a=0.05, can the company support the researcher's daim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. O B. The wind speed in Region A is not greater than the wind speed in Region B: OC. The wind speed in Region A is not less than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify H, and H, H,: H 2 H, 2 (b) Find the critical value(s) and identify the rejection region The critical value(s) islare z, = (Round to three decimal places as needed Use a comma tỏ separate answers as needed.)

MATLAB: An Introduction with Applications
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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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.) O A. z< or z> O B. z > OC 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. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to
Transcribed Image Text: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.) O A. z< or z> O B. z > OC 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. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to
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 2.9 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a= 0.05, can the company support the researcher's claim? Complete parts (a) through (d) beloW. (a) Identify the claim and state H, and H, What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. B. The wind speed in Region A is not greater than the wind speed in Region B: OC. The wind speed in Region A is not less than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2 Identify H, and H,. Ho H1 H2 H H1 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z,%= (Round to three decimal places as needed Use a comma to separate answers as needed.)
Transcribed Image Text: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 2.9 miles per hour. The mean wind speed in Region B is 15.3 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a= 0.05, can the company support the researcher's claim? Complete parts (a) through (d) beloW. (a) Identify the claim and state H, and H, What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. B. The wind speed in Region A is not greater than the wind speed in Region B: OC. The wind speed in Region A is not less than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2 Identify H, and H,. Ho H1 H2 H H1 H2 (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are z,%= (Round to three decimal places as needed Use a comma to separate answers as needed.)
Expert Solution
Step 1

(a)

Determine the claim.

The claim is determined below as follows:

That is, the wind speed in region A is less than the wind speed in Region B.

 

Correct option: Option A

 

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no evidence that the wind speed in region A is less than the wind speed in Region B.

Statistics homework question answer, step 1, image 2

That is, there is evidence that the wind speed in region A is less than the wind speed in Region B.

Step 2

(b)

Obtain the critical value.

The critical value is obtained below as follows:

Here, confidence level is 0.95.

Statistics homework question answer, step 2, image 1

Use EXCEL Procedure for finding the critical value of z.

 

Follow the instruction to obtain the critical value of z:

 

  1. Open EXCEL
  2. Go to Formula bar.
  3. In formula bar enter the function as“=NORMINV”
  4. Enter the probability as 0.05
  5. Enter the mean as 0 and the Standard deviation as 1.
  6. Click enter

 

EXCEL output:

 

From the EXCEL output, the critical value of z at the 95% confidence level is –1.645.

 

Thus, the critical value is –1.645.

 

 

Determine the rejection region.

 

The rejection region is determined below as follows:

 

That is,

Statistics homework question answer, step 2, image 2

Correct option: Option C

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