At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x= 1075 cm/sec. Based on long-term experience, o can be assumed to be 265 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec (b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain. O No. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site. O Yes. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site. O Yes. This interval indicates that the population mean wind speed is such that the sand is always moving at this site. O No. This interval indicates that the population mean wind speed is such that the sand is always moving at this site.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
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At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand
determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience,
o can be assumed to be 265 cm/sec.
(a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.)
lower limit
cm/sec
upper limit
cm/sec
(b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain.
O No. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site.
O Yes. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site.
O Yes. This interval indicates that the population mean wind speed is such that the sand is always moving at this site.
O No. This interval indicates that the population mean wind speed is such that the sand is always moving at this site.
Transcribed Image Text:At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-five wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, o can be assumed to be 265 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec (b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain. O No. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site. O Yes. This interval indicates that the population mean wind speed is such that the sand may not always be moving at this site. O Yes. This interval indicates that the population mean wind speed is such that the sand is always moving at this site. O No. This interval indicates that the population mean wind speed is such that the sand is always moving at this site.
Expert Solution
Step 1

Solution: 

Given :  x¯ = 1075 cm/sec

             σ = 265 cm/sec

             n  = 65

             α = 0.05

a) 95% confidence interval for population mean wind speed is,

           CI   = ( x¯ ± zα2×σn

                  = ( 1075 ± 1.96×26565)

                  = ( 1010.58, 1139.42)

                   (1011, 1139 )

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