### Analysis of Airborne Bacteria in Carpeted vs. Uncarpeted RoomsIn this experiment, researchers investigated whether there is a difference in the amount of airborne bacteria between carpeted and uncarpeted rooms. The study was conducted in rooms that are similar in size and function. Seven rooms were equipped with carpets, while seven other rooms were left uncarpeted. After a suitable period, the concentration of bacteria in the air (measured in units of bacteria per cubic foot) was recorded for each room. The populations are assumed to be normally distributed.#### Summary of Data- **Carpeted Rooms:** - Mean concentration (\( \bar{x} \)): 184 units - Standard deviation (s): 22.0 units- **Uncarpeted Rooms:** - Mean concentration (\( \bar{x} \)): 175 units - Standard deviation (s): 16.9 units#### Problem 19: Confidence Interval CalculationTo determine if there is a significant difference in mean bacterial concentration between the two types of rooms, a 95% confidence interval for the difference in means was calculated using 11 degrees of freedom.##### Provided Options for 95% Confidence Interval:- \( \boxed{-7.47 \text{ to } 31.47} \)- \( \boxed{-18.89 \text{ to } 42.89} \)- \( \boxed{-16.66 \text{ to } 34.66} \)- \( \boxed{-14.02 \text{ to } 32.01} \)These intervals estimate the range within which the true difference in mean bacterial concentration between carpeted and uncarpeted rooms lies, with 95% confidence. Each interval above represents a potential range based on different calculations.Use your statistical knowledge and tools to determine the correct confidence interval for the difference in mean bacterial concentrations.

Df=11Confidence level=95%=0.95Significance level=1-0.95=0.05T critical value=+/-2.201

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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