##### Question

In: Statistics and Probability

# A company claims that a new manufacturing process changes the mean amount of aluminum needed for...

A company claims that a new manufacturing process changes the mean amount of aluminum needed for cans and therefore changes the weight. Independent random samples of aluminum cans made by the old process and the new process are taken. The summary statistics are given below. Is there evidence at the 5% significance level (or 95% confidence level) to support the claim that the mean weight for all old cans is different than the mean weight for all new cans? Justify fully!

The Old process had a sample of size 25 with a mean of 0.504 and standard deviation of 0.019. The New process had a sample of size 25 with a mean of 0.495 and standard deviation of 0.021.

## Solutions

##### Expert Solution

Here accept the null hypotheses.

I .e there is no significant difference between mean weight of all old cans and mean weight of all new cans.

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