### Confidence Interval Computation Tool#### Inputs:- **Sample size:**- **Point estimate:**- **Population standard deviation:**- **Critical value:**Click the "Compute" button to calculate:- **Standard error:**- **Margin of error:**- **95% confidence interval:**#### Confidence Level Table:| Confidence level | Critical value ||------------------|----------------|| 99% | 2.576 || 95% | 1.960 || 90% | 1.645 |#### Exercise:(b) Based on your sample, enter the lower and upper limits to graph the 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model.#### Graph:- **95% Confidence Interval Slider:** - Displays a draggable line which represents the range for the confidence interval. - The scale is from 0.00 to 10.00, allowing you to adjust the lower and upper bounds.This tool assists in visualizing and calculating confidence intervals for statistical analysis in determining population parameters. ### Estimating the Population Mean of Battery LifetimesA cell phone manufacturer has hired you to estimate the population mean of the battery lifetimes for all phones of their latest model. Battery lifetime is measured as the time it takes for the battery charge to run out while a tester streams videos on the phones continuously. A random sample of 45 cell phones of the latest model is selected, and their battery lifetimes are recorded. The population standard deviation of the battery lifetimes for this model is assumed to be 2.42 hours.#### TaskBased on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. (If necessary, consult a list of formulas.)#### Instructions1. **Click on "Take Sample"** to see the results from your random sample of 45 phones of the manufacturer's latest model. ![Diagram of Sample Data](diagram-placeholder) **Table: Sample Data** | Number of phones | Sample mean | Sample standard deviation | Population standard deviation | |------------------|-------------|---------------------------|-------------------------------| | 45 | 5.49 | 2.15 | 2.42 |2. **Enter the following values:** - **Sample size** - **Point estimate for the population mean** - **Population standard deviation** - **Critical value for your 95% confidence interval** (Choose from the provided table of critical values.)3. **Compute the Results:** - Enter the values in the provided fields for sample size, point estimate, population standard deviation, and critical value. - Then, click "Compute" to calculate the standard error and construct the confidence interval.**Note:** Ensure you follow the instructions and input the relevant values accurately to determine the correct confidence interval.

It is given that the information of one sample for calculating the confidence interval for normal…

Answered: (b) Based on your sample, enter the…

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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We considered the differences between the temperature readings in January 1 of 1968 and 2008 at 51 locations in the continental US in Exercise 5,19. The mean and standard deviation of the reported differences are 1.1 degrees and 4.9 degrees respectively. (a) Calculate a 90% confidence interval for the average difference between the temperature measurements between 1968 and 2008. lower bound: x degrees(please round to two decimal places) upper bound: X degrees(please round to two decimal places) (b) Interpret this interval in context. O We are 90% confident that the mean difference in these sample temperatures is contained between the lower bound and upper bound O There is a 90% chance that the difference in temperatures in a city from year to year will be between the lower bound and upper bound O We are 90% confident that 90% of the time the differences in temperatures from year to year will be between the lower bound and upper bound O We are 90% confident that the true mean difference…
5
One year, the mean age of an inmate on death row was 40.9 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 39.4, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. Choose the correct hypotheses. Ho: H₁: (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between What does the interval imply? years and years. (Round to two decimal places as needed.) O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. B. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had…
Blood sugars from eight patients in a rural clinic were recorded last summer by the local physician. The blood sugars results were: 120, 145, 200, 250, 79, 100, 894, 255 mg/d1. The standard deviation was 5. Calculate the 95% Confidence Interval (CI) of the mean blood sugars.
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Suppose you take 4 air quality samples in parts per million: 19.6, 1.88, 12.7, 11.9. Give a 90% confidence interval of the mean air quality? (Also, t(0.95,3) = 2.3534 and t(0.90,4)= 1.5332) (a) (3.45, 16.83) (b) (0, 25) (c) (2.93, 20.10) (d) (5.22, 21.54) (e) None of the above
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(b) Based on your sample, enter the lower and upper limits to graph the 95% confidence interval for the population mean of the battery lifetimes for al phones of the manufacturer's latest model. 0.00 0.00 2.00 95% confidence interval: 4.00 6.00 8.00 10.00 10.00