A certain machine produces components having a meanlenght of 15 cm. As a result of measuring samples of these components, it is found that the standard deviation is 0.2 cm. A test is carried out on a sample to check whether the data on the lenghts is normally distributed and found that this is so. a) Determine the number of components like to have a length of less than 14.95 cm in a batch of 10,000 components b) Determine the number of components likely to be between 14.9 and 15.15 in a batch of 10,000 components. c) Determine the number of components like to be larger than 15.43 cm long in a batch of 5,000 components. d) The quality control office said that the lower 5% and the upper 5% of the components in each batch will be considered defective. What would be the length of the component that would considered defective
A certain machine produces components having a meanlenght of 15 cm. As a result of measuring samples of these components, it is found that the standard deviation is 0.2 cm. A test is carried out on a sample to check whether the data on the lenghts is
a) Determine the number of components like to have a length of less than 14.95 cm in a batch of 10,000 components
b) Determine the number of components likely to be between 14.9 and 15.15 in a batch of 10,000 components.
c) Determine the number of components like to be larger than 15.43 cm long in a batch of 5,000 components.
d) The quality control office said that the lower 5% and the upper 5% of the components in each batch will be considered defective. What would be the length of the component that would considered defective?
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