High School

Supplier on-time delivery performance is critical to enabling the buyer's organization to meet its customer service commitments. Therefore, monitoring supplier delivery times is also critical.

Based on a great deal of historical data, a manufacturer of personal computers finds that for one of its just-in-time suppliers, the delivery times are random and approximately follow a normal distribution with a mean of 51.7 minutes and a standard deviation of 9.5 minutes.

Answer the following questions, rounding your final answers to 4 decimal places. To avoid rounding errors, please do not round intermediate steps in your calculations.

Answer :

Final answer:

This question involves estimating the population mean delivery time using a sample mean and given information about the sample size and confidence level.

Explanation:

The question is about estimating the population mean delivery time based on a sample mean delivery time, with a given sample size and a specified confidence level. In each scenario, we are given a sample mean, population standard deviation, and sample size. To calculate the confidence interval, we can use the formula:

CI = sample mean ± (critical value * standard error)

We then calculate the critical value based on the confidence level and degrees of freedom, and the standard error using the sample standard deviation and sample size. Finally, we plug in the values and calculate the confidence interval.

Learn more about Calculating confidence intervals for population means here:

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