question archive A factory is doing some statistical analysis on the mean weight of a product, but these analysis are only valid if the weights are normally distributed

A factory is doing some statistical analysis on the mean weight of a product, but these analysis are only valid if the weights are normally distributed

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A factory is doing some statistical analysis on the mean weight of a product, but these analysis are only valid if the weights are normally distributed. The product has a mean weight of 45g and standard deviation of 15g. A sample of 500 units was taken, with weight distribution given in Table below. Does this suggest that the weights are normally distributed? Use chi square test and explain your answer  

 

Weight (gram) Number of observations

Less than 10 9

10 - 19.99 31

20 - 29.99 65

30 - 39.99 97

40 - 49.99 115

50 - 59.99 94

60 - 69.99 49

70 - 79.99 24

80 - 89.99 16

 

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