At winds speeds above 100cm/sec significant sand moving events begin to ccur. wi

Question

At winds speeds above 100cm/sec significant sand moving events begin to ccur. wind speeds below 1000cm/sec deposit sand and wind speeds about 1000cm/sec move sand to new location. At a test site the prevailing direction of the wind did not change noticably, however the velocity did change 60 wind speed readings gave an average of 1075cm/sec based on a long term experience s, can be assumed to be 26.5cm/sec.

1. Find the 95% confidence interval for the population mean wind speed at this site.

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

Explanation / Answer

(a) Find 95% confidence interval for the population mean wind speed at this site. Mean = 1075 cm/sec, standard deviation, ? = 265 cm/sec, the sample size or n = 60 standard error. Follow the presented formula, e = ?/?n = 265/ ?60= 34.2. 95% confidence interval (1.96) for the population mean wind speed at this site would be found by following this formula. ? =

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