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Mathematics, 23.04.2020 21:30 ridzrana02

Suppose that the quality control manager for a cereal manufacturer wants to ensure that bags of cereal are being filled correctly. The equipment is calibrated to fill bags with a mean of 16 oz of cereal with a standard deviation of 0.2 oz. The quality control inspector selects a random sample of 45 boxes and finds that the mean amount of cereal for these boxes is 16.03 oz. He uses this data to conduct a one-sample z ‑test with a null hypothesis of H0:µ=16 against the alternative hypothesis H1:µ≠16 , where µ is the mean amount of cereal in each box. He calculates a z ‑score of 1.01 and a P-value of 0.3125 . Are these results statistically significant at a significance level of 0.05 ? No, these results are not statistically significant because P>0.05 . Yes, these results are statistically significant because P<0.05 . Yes, these results are statistically significant because P>0.05 . No, these results are not statistically significant because P<0.05 .

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