The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, Hc - HA Be sure to check the necessary assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.) Full data set O Children's cereal: 44.6, 58.6, 47.4, 40.8, 52.9, 47.1, 51.6, 42.5, 40.5, 41.8, 48.1, 42, 36.5, 55.4, 46.1, 50.2, 39.7, 58.7, 40.1, 33.3 Adults' cereal: 24.3, 26.4, 1.5, 7.9, 1.6, 24.2, 18.4, 14.4, 21.1, 5.8, 7.4, 13.3, 17.8, 14.4, 3.1, 19.3, 2, 2, 0.9, 7.7, 12.5, 0.6, 2.9, 3.1, 5.9, 1.7, 17.7, 5.5, 19.7, 13.3 The confidence interval is (OD- (Round to two decimal places as needed.) Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of and upper boundary of more grams of sugar content than children's cereals, O B. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of more grams of sugar content than adult's cereals.
The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, Hc - HA Be sure to check the necessary assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.) Full data set O Children's cereal: 44.6, 58.6, 47.4, 40.8, 52.9, 47.1, 51.6, 42.5, 40.5, 41.8, 48.1, 42, 36.5, 55.4, 46.1, 50.2, 39.7, 58.7, 40.1, 33.3 Adults' cereal: 24.3, 26.4, 1.5, 7.9, 1.6, 24.2, 18.4, 14.4, 21.1, 5.8, 7.4, 13.3, 17.8, 14.4, 3.1, 19.3, 2, 2, 0.9, 7.7, 12.5, 0.6, 2.9, 3.1, 5.9, 1.7, 17.7, 5.5, 19.7, 13.3 The confidence interval is (OD- (Round to two decimal places as needed.) Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of and upper boundary of more grams of sugar content than children's cereals, O B. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of and upper boundary of more grams of sugar content than adult's cereals.
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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Transcribed Image Text:The data below shows the sugar content in grams of several brands of children's and adults' cereals. Create and interpret a 95% confidence interval for the difference in the mean sugar content, μ₉ = μₐ. Be sure to check the necessary assumptions and conditions. (Note: Do not assume that the variances of the two data sets are equal.)
**Full data set**
**Children's cereal:** 44.6, 58.6, 47.4, 40.8, 52.9, 47.1, 51.6, 42.5, 40.5, 41.8, 48.1, 42, 36.5, 55.4, 46.1, 50.2, 39.7, 58.7, 40.1, 33.3
**Adults' cereal:** 24.3, 26.4, 1.5, 7.9, 1.6, 24.2, 18.4, 14.4, 21.1, 5.8, 7.4, 13.3, 17.8, 14.4, 3.1, 19.3, 2.2, 0.9, 7.7, 12.5, 0.6, 2.9, 3.1, 5.9, 1.7, 17.7, 5.5, 19.7, 13.3
---
**The confidence interval is** ( , ).
(Round to two decimal places as needed.)
**Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice.**
(Round to two decimal places as needed.)
- ⬜ A. Based on these samples, with 95% confidence, adult's cereals average between the lower boundary of ___ and upper boundary of ___ more grams of sugar content than children's cereals.
- ⬜ B. Based on these samples, with 95% confidence, children's cereals average between the lower boundary of ___ and upper boundary of ___ more grams of sugar content than adult's cereals.
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