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 18 oz of cereal with a standard deviation of 0.2 oz. The quality control inspector selects a random sample of 62 boxes and finds that the mean amount of cereal for these boxes is 17.96 oz. He uses this data to conduct a one-sample z-test with a null hypothesis of Ho: µ = 18 against the alternative hypothesis Hj: µ # 18, where u is the mean amount of cereal in each box. He calculates a z-score of – 1.57 and a P-value of 0.1164. Are these results statistically significant at a significance level of 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. No, these results are not statistically significant because P < 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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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 18 oz of cereal with a standard deviation of 0.2 oz. The quality control
inspector selects a random sample of 62 boxes and finds that the mean amount of cereal for these boxes is 17.96 oz.
He uses this data to conduct a one-sample z-test with a null hypothesis of Ho: µ = 18 against the alternative hypothesis
Hj: µ ± 18, where u is the mean amount of cereal in each box. He calculates a z-score of –1.57 and a P-value of 0.1164.
Are these results statistically significant at a significance level of 0.05?
Yes, these results are statistically significant because P < 0.05.
O Yes, these results are statistically significant because P > 0.05.
No, these results are not statistically significant because P > 0.05.
O No, these results are not statistically significant because P < 0.05.
Transcribed Image Text: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 18 oz of cereal with a standard deviation of 0.2 oz. The quality control inspector selects a random sample of 62 boxes and finds that the mean amount of cereal for these boxes is 17.96 oz. He uses this data to conduct a one-sample z-test with a null hypothesis of Ho: µ = 18 against the alternative hypothesis Hj: µ ± 18, where u is the mean amount of cereal in each box. He calculates a z-score of –1.57 and a P-value of 0.1164. Are these results statistically significant at a significance level of 0.05? Yes, these results are statistically significant because P < 0.05. O Yes, these results are statistically significant because P > 0.05. No, these results are not statistically significant because P > 0.05. O No, these results are not statistically significant because P < 0.05.
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