I need help finding the answers that go into the yellow highlighted boxes :) Thank you so much!! **Title: Confidence Interval Calculation for Mean Amount of Coffee Dispensed by Vending Machine****Description:**A random sample of 55 cups of coffee from a vending machine had a sample mean volume of coffee dispensed equal to 7.5 oz with a standard deviation of 0.3 oz. Find a 95 percent confidence interval for the mean amount of coffee dispensed per cup.---**Data Table:**| Statistic | Value ||-----------|-------|| x-bar | 7.5 oz || std dev | 0.3 oz || n | 55 || Confidence Level | 95% || Margin of Error | || Point Estimate | || Lower Limit | Round off to 2 decimal places || Upper Limit | Round off to 2 decimal places |---**Steps for Calculation:**1. **Point Estimate (Mean):** - The point estimate (\( \bar{x} \)) is the sample mean, which is 7.5 oz.2. **Standard Deviation:** - The standard deviation (\( \sigma \)) is 0.3 oz.3. **Sample Size:** - The sample size (\( n \)) is 55.4. **Confidence Level:** - The confidence level is given as 95%.5. **Margin of Error (E):** - Calculate the Margin of Error using the formula: \[ E = Z \times \left( \frac{\sigma}{\sqrt{n}} \right) \] Where \( Z \) is the Z-value corresponding to the 95% confidence level (Z = 1.96 for 95%).6. **Confidence Interval:** - The confidence interval is calculated as: \[ \text{Lower Limit} = \bar{x} - E \] \[ \text{Upper Limit} = \bar{x} + E \]7. **Rounding Off:** - Both the lower limit and upper limit should be rounded off to 2 decimal places.---**Interpret the Confidence Interval in Context of the Problem:**Interpret the calculated confidence interval in the context of the problem, which is to determine the mean amount of coffee dispensed per cup by the vending machine with a 95% confidence level.---**Note:**This educational content is designed to provide a clear example

Name: I need help finding the answers that go into the yellow highlighted bo
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: I need help finding the answers that go into the yellow highlighted boxes :) Thank you so much!! **Title: Confidence Interval Calculation for Mean Amount of Coffee Dispensed by Vending Machine****Description:**A random sample of 55 cups of coffee fro