The Eckel Manufacturing Company believes that their hourly wages follow a normal probability distribution. To confirm this, 270 employees were sampled, organized into the following frequency distribution. Use the methods on pages 82€“83 of Chapter 3 to find the mean and standard deviation of these data grouped into a frequency distribution. At the .10 significance level, is it reasonable to conclude that the distribution of hourly wages follows a normaldistribution?

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Hourly Wage $5.50 up to $ 6.50 6.50 up to 7.50 7.50 up to 8.50 8.50 up to 9.50 9.50 up to 10.50 Frequency 20 24 130 68 28 270 Total