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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...

(a) Find a 95% confidence interval for the population mean wind speed at this site.
(b) Does the confidence interval indicate that the population mean wind speed is such that the sand is always moving at this site?

1 Answer

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Final answer:

Without specific wind speed data, we cannot calculate a confidence interval for the population mean wind speed. The confidence interval, if provided, would determine if the wind speed is consistently sufficient for sand movement.

Step-by-step explanation:

To find a 95% confidence interval for the population mean wind speed, you need to have a data set of wind speeds and perform statistical analysis on it. Such analysis usually requires the mean of your sample, the standard deviation, and the number of observations in your sample. Since such data isn't provided in the question, we cannot calculate an exact confidence interval.

That being said, if you had such data, the process would involve using a formula or a statistical tool to calculate the margin of error and then adding and subtracting that margin from the sample mean to get the lower and upper bounds of the confidence interval.

Regarding part (b), without the actual confidence interval, we cannot ascertain whether the population mean wind speed is always at or above 1000 centimeters per second, which is the threshold for significant sand movement. If the confidence interval were entirely above 1000 cm/sec, it would indicate that the wind speed is sufficient for sand movement.

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