The proper operation of typical home appliances requires voltage levels that do not vary much. Listed below are 8 voltage levels (in volts) at a random house on 8 different days. 120 119.8 120.1 120 119.8 120.2 120 119.9 The mean of the data set is 119.98; the sample standard deviation is 0.139; if the normality plot is not provided you may assume that the voltages are normally distributed. Construct a 90% confidence interval for the variance (standard deviation) of all voltages in the house.

The proper operation of typical home appliances requires voltage levels that do not vary much. Listed below are 8 voltage levels (in volts) at a random house on 8 different days. 120 119.8 120.1 120 119.8 120.2 120 119.9 The mean of the data set is 119.98; the sample standard deviation is 0.139; if the normality plot is not provided you may assume that the voltages are normally distributed. Construct a 90% confidence interval for the variance (standard deviation) of all voltages in the house.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The proper operation of typical home appliances requires voltage levels that do not vary much. Listed below are 8 voltage levels (in volts) at a random house on 8 different days.

120	119.8	120.1	120	119.8
120.2	120	119.9

The mean of the data set is 119.98; the sample standard deviation is 0.139; if the normality plot is not provided you may assume that the voltages are normally distributed.

Construct a 90% confidence interval for the variance (standard deviation) of all voltages in the house.

Procedure:
Assumptions: (select everything that applies)
- Population standard deviation is unknown
- Normal population
- Simple random sample
- Sample size is greater than 30
- Population standard deviation is known
- The number of positive and negative responses are both greater than 10
Unknown parameter:

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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