A gum manufacturer claims that, on average, the flavour of an entire packet of gum would last for more than 39 minutes. A quality controller selects a random sample of 55 packets of gum. She finds the average time for which the gum flavour lasts is 40 minutes, with a standard deviation of 5.67 minutes. 1. develop and conduct hypothesis tests to verify the manufacturer's statements. Is the claim reasonable? 2. after adopting the new technology to improve the duration of gum flavor, the quality controller re selected 60 packs of gum and found that the average duration of gum flavor was 45 minutes and the standard deviation was 3.15 minutes. Is there sufficient evidence that the new technology significantly increases the duration? 3. use the 95% confidence interval to verify whether the new technology significantly increases the duration. Prove your answer.
A gum manufacturer claims that, on average, the flavour of an entire packet of gum would last for more than 39 minutes. A quality controller selects a random sample of 55 packets of gum. She finds the average time for which the gum flavour lasts is 40 minutes, with a standard deviation of 5.67 minutes.
1. develop and conduct hypothesis tests to verify the manufacturer's statements. Is the claim reasonable?
2. after adopting the new technology to improve the duration of gum flavor, the quality controller re selected 60 packs of gum and found that the average duration of gum flavor was 45 minutes and the standard deviation was 3.15 minutes. Is there sufficient evidence that the new technology significantly increases the duration?
3. use the 95% confidence interval to verify whether the new technology significantly increases the duration. Prove your answer.
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