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 90 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 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. (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo =1| (Round to two 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 two decimal places as needed.) O A. z> B. z< or z> O 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. the researcher's claim that the wind speed in Region A is V Ho. There V enough evidence at the 5% level of significance to V 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 90 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 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. (b) Find the critical value(s) and identify the rejection region. The critical value(s) is/are zo =1| (Round to two 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 two decimal places as needed.) O A. z> B. z< or z> O 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. the researcher's claim that the wind speed in Region A is V Ho. There V enough evidence at the 5% level of significance to V the wind speed in Region B.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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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 90 days in each region. The mean wind speed in Region A is
13.8 miles per hour. Assume the population standard deviation is 2.8 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.
(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.)
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.)
O A. z>
B. z<
or z>
O C. z<
(c) Find the standardized test statistic 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.
the researcher's claim that the wind speed in Region A is
V Ho. There
V enough evidence at the 5% level of significance to
V the wind speed in Region B.
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