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In: Statistics and Probability

The purchasing director for an industrial parts factory is investigating the possibility of purchasing a new...

The purchasing director for an industrial parts factory is investigating the possibility of purchasing a new type of milling machine. She determines that the new machine will be bought if there is evidence that the parts produced have a higher average breaking strength than those from the old machine. A sample of 100 parts taken from the old machine indicates a sample mean of 65 kilograms and standard deviation is 10 kilograms. Whereas a similar sample of 100 from the new machine indicates a sample mean of 72 kilograms and a standard deviation of 9 kilograms. Is there evidence that the purchasing director should buy the new machine? Test at 5% significance level. Assume the two population variances are not equal

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orchestra answered 2 years ago
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