Question

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-one wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 250 cm/sec.

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 |

Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site? Explain.

Answer #1

Since population standard deviation is known, Use z-distribution.

Refer Standard normal table/Z-table or use excel function
" |

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...

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-two wind speed readings
gave an average velocity of x = 1075...

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...

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 wind speed readings gave an
average velocity of x = 1075...

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