Answer :
The 96% confidence interval for the mean total delivery time of pizzas for the Albertoni Restaurant is (24.5 minutes, 25.3 minutes). This interval provides a range of values within which we can estimate the true population mean with 96% confidence.
To calculate the confidence interval, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
First, we need to calculate the critical value. Since Albertoni is using a non-conventional confidence level of 96%, we need to find the z-score associated with a 96% confidence level. Using a standard normal distribution table or a statistical software, we find that the critical value is approximately 2.05.
Next, we calculate the standard error using the formula:
Standard Error = Sample Standard Deviation / √(Sample Size)
In this case, the sample standard deviation is 1.2 minutes, and the sample size is 64. Therefore, the standard error is approximately 0.15 minutes.
Now, we can calculate the confidence interval:
Confidence Interval = 24.9 ± (2.05 * 0.15) = (24.5 minutes, 25.3 minutes)
We are 96% confident that the true mean total delivery time of pizzas for the Albertoni Restaurant falls within the range of 24.5 minutes to 25.3 minutes.
This means that if we were to take multiple samples and calculate confidence intervals, approximately 96% of those intervals would contain the true population mean.
To know more about interval, refer here:
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