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# Testing hypotheses of population mean

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A food processor is concerned that the 16 oz. can of sliced pineapple is being overfilled. The quality control department took a random sample of 50 cans and found that the arithmatic mean weight was 16.05 oz., with a sample standard deviation of .03 oz. At the 5% significance, can the hypothesis that the mean weight is equal to 16 oz. be rejected? Explain.

https://brainmass.com/statistics/hypothesis-testing/testing-hypotheses-of-population-mean-9934

#### Solution Preview

Solution. We can set up the null hypothesis: H0: u=16
<br> the alternative hypothesis H1: u is not 16.
<br>Denote the mean of sample by xbar and the sample standard deviation by SD. ...

#### Solution Summary

The solution contains detailed explanations of testing whether the population mean is different from a given value.

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