Nada Walker is a fairly serious runner. She runs nearly every day, .pdf

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Nada Walker runs nearly every day, with her monthly distances varying from 58 to 62 miles for most months over the past 30 months. The sample mean of Nada's monthly distances is 63 miles with a standard deviation of 6.95 miles. A goodness of fit test will be conducted at a .025 significance level to determine if the population of Nada's monthly run distances is normally distributed with a mean of 63 miles and standard deviation of 6.95 miles.

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Nada Walker is a fairly serious runner. She runs nearly every day, although her distance varies
due to weather, how she feels, and available spare time. The distances (in miles) she has run per
month for the last 30 months are listed below. The sample mean is 63 miles and the sample
standard deviation is 6.95 miles. 10pts 62.062.062.062.062.062.062.062.062.062.0
58.458.458.458.458.458.458.458.458.458.4 60.560.560.560.560.560.560.560.560.560.5
Conduct a goodness of fit test, at a .025 significance level, to determine if the population of miles
run in a month by Nada is normally distributed with a mean of 63 miles and a standard deviation
of 6.95 miles
Solution
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