The Cochrane Community is divided into three neighborhoods: Sunset Ridge, River Song, and Heartland. Each neighborhood consists of a variety of housing types: townhouses, condominiums, and single-family homes. To understand the electricity consumption patterns in the community, a survey is conducted to ask each household about their monthly electricity bill (in dollars). Out of the 3 neighborhoods, the Sunset Ridge neighborhood was randomly selected to be surveyed. 33 households within the neighborhood were chosen. These households were asked how much their monthly electricity bill is, in dollars. The data presented below were recorded in units of 100 dollars. 3.83, 4.47, 2.45, 2.4, 3.45, 2.85, 4.54, 2.86, 3, 2.34, 3.08, 4.82, 4.19, 1.71, 3.73, 3.05, 2.19, 3.63, 1.19, 1.69, 3.53, 2.27, 4.14, 3.73, 3.76, 3.58, 3.48, 3.22, 2.54, 3.33, 2.92, 2.65, 3.55 R-Data vector from the sample is provided below data=c(3.83, 4.47, 2.45, 2.4, 3.45, 2.85, 4.54, 2.86, 3, 2.34, 3.08, 4.82, 4.19, 1.71, 3.73, 3.05, 2.19, 3.63, 1.19, 1.69, 3.53, 2.27, 4.14, 3.73, 3.76, 3.58, 3.48, 3.22, 2.54, 3.33, 2.92, 2.65, 3.55) Copy and paste the command to R for your statistical analysis. (a) What is the sampling technique used to collect the data above? O A. Simple Random Sampling OB. Stratified Samplings C. Cluster Sampling O D. Systematic Sampling (b) Find the mean, the standard deviation, the median and IQR of this sample. Use at least three decimal places in each answer. Do not convert the unit to dollars. The sample mean X of the monthly electricity bill is 3.157 100 dollars. The sample standard deviation S of the monthly electricity bill is 0.854 100 dollars. The median of of the monthly electricity bill is is 3.220 100 dollars. The IQR of of the monthly electricity bill is is 1.19 100 dollars. (c) Calculate the Lower Fence and the Upper Fence for this data. Do not convert the unit to dollars. Lower Fence = Upper Fence = (d) data=c(3.83, 4.47, 2.45, 2.4, 3.45, 2.85, 4.54, 2.86, 3, 2.34, 3.08, 4.82, 4.19, 1.71, 3.73, 3.05, 2.19, 3.63, 1.19, 1.69, 3.53, 2.27, 4.14, 3.73, 3.76, 3.58, 3.48, 3.22, 2.54, 3.33, 2.92, 2.65, 3.55) boxplot(data,main = "Boxplot of Example Data", ylab = "Values", col = "lightblue",border = "darkblue") Copy and paste the R command above to create the boxplot for this data. From your output, do you detect any outliers? ○ A. yes. O B. No

The Cochrane Community is divided into three neighborhoods: Sunset Ridge, River Song, and Heartland. Each neighborhood consists of a variety of housing types: townhouses, condominiums, and single-family homes. To understand the electricity consumption patterns in the community, a survey is conducted to ask each household about their monthly electricity bill (in dollars). Out of the 3 neighborhoods, the Sunset Ridge neighborhood was randomly selected to be surveyed. 33 households within the neighborhood were chosen. These households were asked how much their monthly electricity bill is, in dollars. The data presented below were recorded in units of 100 dollars. 3.83, 4.47, 2.45, 2.4, 3.45, 2.85, 4.54, 2.86, 3, 2.34, 3.08, 4.82, 4.19, 1.71, 3.73, 3.05, 2.19, 3.63, 1.19, 1.69, 3.53, 2.27, 4.14, 3.73, 3.76, 3.58, 3.48, 3.22, 2.54, 3.33, 2.92, 2.65, 3.55 R-Data vector from the sample is provided below data=c(3.83, 4.47, 2.45, 2.4, 3.45, 2.85, 4.54, 2.86, 3, 2.34, 3.08, 4.82, 4.19, 1.71, 3.73, 3.05, 2.19, 3.63, 1.19, 1.69, 3.53, 2.27, 4.14, 3.73, 3.76, 3.58, 3.48, 3.22, 2.54, 3.33, 2.92, 2.65, 3.55) Copy and paste the command to R for your statistical analysis. (a) What is the sampling technique used to collect the data above? O A. Simple Random Sampling OB. Stratified Samplings C. Cluster Sampling O D. Systematic Sampling (b) Find the mean, the standard deviation, the median and IQR of this sample. Use at least three decimal places in each answer. Do not convert the unit to dollars. The sample mean X of the monthly electricity bill is 3.157 100 dollars. The sample standard deviation S of the monthly electricity bill is 0.854 100 dollars. The median of of the monthly electricity bill is is 3.220 100 dollars. The IQR of of the monthly electricity bill is is 1.19 100 dollars. (c) Calculate the Lower Fence and the Upper Fence for this data. Do not convert the unit to dollars. Lower Fence = Upper Fence = (d) data=c(3.83, 4.47, 2.45, 2.4, 3.45, 2.85, 4.54, 2.86, 3, 2.34, 3.08, 4.82, 4.19, 1.71, 3.73, 3.05, 2.19, 3.63, 1.19, 1.69, 3.53, 2.27, 4.14, 3.73, 3.76, 3.58, 3.48, 3.22, 2.54, 3.33, 2.92, 2.65, 3.55) boxplot(data,main = "Boxplot of Example Data", ylab = "Values", col = "lightblue",border = "darkblue") Copy and paste the R command above to create the boxplot for this data. From your output, do you detect any outliers? ○ A. yes. O B. No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 27PFA

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