ft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. he manufacturer's production philosophy, it requires a particular quantity of aluminum o be delivered on time with a short lead time of no more than four days (time between e manufacturer places the order for aluminum and when that order arrives from the . The manufacturer is considering an aluminum supplier but is concerned with the s ability to meet lead time. The supplier provided a sample of lead times required to fill es similar to what the manufacturer expects, provided in hours below. 88 97 104 98 88 103 104 92 95 102 Use the p-value approach to determine if the aircraft manufacturer should buy luminum sheets from the supplier based on average lead time. Assume 90% onfidence to draw a conclusion. or which values of the sample mean would the aircraft manufacturer decide to buy heets from this supplier, assuming a = 0.05?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Problem 6**

An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. Due to the manufacturer’s production philosophy, it requires a particular quantity of aluminum sheets to be delivered on time with a short lead time of no more than four days (time between when the manufacturer places the order for aluminum and when that order arrives from the supplier). The manufacturer is considering an aluminum supplier but is concerned with the supplier’s ability to meet lead time. The supplier provided a sample of lead times required to fill order sizes similar to what the manufacturer expects, provided in hours below.

88, 97, 104, 98, 88, 103, 104, 92, 95, 102

a. Use the p-value approach to determine if the aircraft manufacturer should buy aluminum sheets from the supplier based on average lead time. Assume 90% confidence to draw a conclusion.

b. For which values of the sample mean would the aircraft manufacturer decide to buy sheets from this supplier, assuming α = 0.05?

**Explanation of Text**

The problem involves statistical analysis to determine if an aircraft manufacturer should purchase aluminum sheets from a supplier based on lead time data. The manufacturer seeks deliveries with an average lead time of no more than four days and has a sample data set of lead times from the supplier. The tasks involve:

- **Part a:** Performing a hypothesis test using the p-value approach to check if the average lead time meets the required standard at a 90% confidence level.
- **Part b:** Identifying sample mean values under which the manufacturer would decide to proceed with purchasing, using a significance level (α) of 0.05.
Transcribed Image Text:**Problem 6** An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. Due to the manufacturer’s production philosophy, it requires a particular quantity of aluminum sheets to be delivered on time with a short lead time of no more than four days (time between when the manufacturer places the order for aluminum and when that order arrives from the supplier). The manufacturer is considering an aluminum supplier but is concerned with the supplier’s ability to meet lead time. The supplier provided a sample of lead times required to fill order sizes similar to what the manufacturer expects, provided in hours below. 88, 97, 104, 98, 88, 103, 104, 92, 95, 102 a. Use the p-value approach to determine if the aircraft manufacturer should buy aluminum sheets from the supplier based on average lead time. Assume 90% confidence to draw a conclusion. b. For which values of the sample mean would the aircraft manufacturer decide to buy sheets from this supplier, assuming α = 0.05? **Explanation of Text** The problem involves statistical analysis to determine if an aircraft manufacturer should purchase aluminum sheets from a supplier based on lead time data. The manufacturer seeks deliveries with an average lead time of no more than four days and has a sample data set of lead times from the supplier. The tasks involve: - **Part a:** Performing a hypothesis test using the p-value approach to check if the average lead time meets the required standard at a 90% confidence level. - **Part b:** Identifying sample mean values under which the manufacturer would decide to proceed with purchasing, using a significance level (α) of 0.05.
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