Find a confidence interval

At wind speeds above 1000 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.  Sixty (60) wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, standard deviation can be assumed to be 265 cm/sec

a) Find a 95% confidence interval for the population mean wind speed at this time.

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

Solution:

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