10. The "just-in-time" policy of inventory control is growing in popularity. Suppose that an auto parts supplier claims to deliver parts to any manufacturer in an average time of less than 1 hour. In an effort to test the claim, a manufacturer recorded the times of 24 deliveries from this supplier and found a mean time of 57.8 minutes and a standard deviation on 6.6 minutes, Assume that the distribution of delivery times is appraximately normal. (a) Can we conclude that the supplier's assertion is correct at 5% significance level? V Hypotheses: Ho: Ha: Test Statistic: P-value: V Conclusion:

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10. The "just-in-time" policy of inventory control is growing in popularity. Suppose that an auto
parts supplier claims to deliver parts to any manufacturer in an average time of less than 1
hour. In an effort to test the claim, a manufacturer recorded the times of 24 deliveries from
this supplier and found a mean time of 57.8 minutes and a standard deviation on 6.6 minutes.
Assume that the distribution of delivery times is appraximately normal.
(a) Can we conclude that the supplier's assertion is correct at 5% significance level?
V Hypotheses:
Ho:
Ha:
V Test Statistic:
V P-value:
Conclusion:
(b) What type of error could be made in this case? Describe it in the context of the problem.
(c) What will result if the true mean delivery time is actually 55 minutes?
(d) What will result if the true mean delivery time is actually 62 minutes?
(e) Repeat parts (a) to (d) using 10% significance level.
Transcribed Image Text:10. The "just-in-time" policy of inventory control is growing in popularity. Suppose that an auto parts supplier claims to deliver parts to any manufacturer in an average time of less than 1 hour. In an effort to test the claim, a manufacturer recorded the times of 24 deliveries from this supplier and found a mean time of 57.8 minutes and a standard deviation on 6.6 minutes. Assume that the distribution of delivery times is appraximately normal. (a) Can we conclude that the supplier's assertion is correct at 5% significance level? V Hypotheses: Ho: Ha: V Test Statistic: V P-value: Conclusion: (b) What type of error could be made in this case? Describe it in the context of the problem. (c) What will result if the true mean delivery time is actually 55 minutes? (d) What will result if the true mean delivery time is actually 62 minutes? (e) Repeat parts (a) to (d) using 10% significance level.
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