**Constructing a 95% Confidence Interval for Watermelon Weights**In this exercise, you have measured the weights of 30 watermelons and found that they have a mean weight of 43 ounces. Given that the population standard deviation is 3 ounces, your task is to construct a 95% confidence interval for the true population mean watermelon weight.### Steps to Construct the Confidence Interval1. **Identify the Sample Mean and Standard Deviation:** - Sample mean (\(\bar{x}\)): 43 ounces - Population standard deviation (\(\sigma\)): 3 ounces 2. **Sample Size:** \(n = 30\)3. **Determine the Z-Score for a 95% Confidence Level:** - For a 95% confidence level, the Z-score is approximately 1.96 (based on standard normal distribution).4. **Calculate the Standard Error (SE):** \[ SE = \frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{30}} \]5. **Calculate the Margin of Error (ME):** \[ ME = Z \times SE = 1.96 \times \frac{3}{\sqrt{30}} \]6. **Construct the Confidence Interval:** - Lower limit: \(\bar{x} - ME\) - Upper limit: \(\bar{x} + ME\)By filling in the required values and performing the calculations, you will obtain the confidence interval expressed as decimals to two places.### Enter Your ResultsPlease enter your calculated lower and upper limits in the designated response fields in ounces.---**Note:** If you need assistance with any part of this exercise, feel free to message your instructor for guidance.**Submit your answers** using the 'Submit Question' button once you have completed the calculations.

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You measure 30 watermelons' weights, and find they have a mean weight of 43 ounces. Assume the population standard deviation is 3 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places ounces

You measure 30 watermelons' weights, and find they have a mean weight of 43 ounces. Assume the population standard deviation is 3 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places ounces

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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