1212 batteries were randomly selected and tested for their lifespans (in hours\text{hours}), producing the following values: 42.1,43.7,41.5,44.2,42.8,43.3,41.9,44.0,42.5,43.1,42.3,43.542.1,43.7,41.5,44.2,42.8,43.3,41.9,44.0,42.5,43.1,42.3,43.5. The normal quantile plot of this data appears to follow a straight line. Are the necessary assumptions satisfied to construct a 95%95\% confidence interval for the population standard deviation? If so, calculate the interval.

Assumptions are satisfied; the 95%95\% confidence interval is (0.61,1.47)\left(0.61,1.47\right).

Assumptions are satisfied; the 95%95\% confidence interval is (0.67,1.23)\left(0.67,1.23\right).

Assumptions are satisfied; the 95%95\% confidence interval is (0.599,1.142)(0.599, 1.142).

Table of contents

Prepare for your exams

Upload your syllabus and get recommendations on what to study and when. No syllabus? Sharing your exam schedule works too.

Skip topic navigation

1. Introduction to Statistics(0)

Intro to Stats
(0)

Intro to Collecting Data
(0)

Sampling Methods
(0)

2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
(0)

Frequency Distributions
(0)

Histograms
(0)

Bar Graphs and Pareto Charts
(0)

Pie Charts
(0)

Frequency Polygons
(0)

Dot Plots
(0)

Stemplots (Stem-and-Leaf Plots)
(0)

Time-Series Graph
(0)

3. Describing Data Numerically(0)

Mean
(0)

Median
(0)

Mode
(0)

Standard Deviation
(0)

Interpreting Standard Deviation
(0)

Percentiles & Quartiles
(0)

Boxplots
(0)

4. Probability(0)

Basic Concepts of Probability
(0)

Complements
(0)

Addition Rule
(0)

Multiplication Rule: Independent Events
(0)

Introduction to Contingency Tables
(0)

Multiplication Rule: Dependent Events
(0)

Bayes' Theorem
(0)

Fundamental Counting Principle
(0)

Counting
(0)

5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
(0)

Binomial Distribution
(0)

Poisson Distribution
(0)

Hypergeometric Distribution
(0)

6. Normal Distribution & Continuous Random Variables(0)

Uniform Distribution
(0)

Standard Normal Distribution
(0)

Non-Standard Normal Distribution
(0)

7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
(0)

Introduction to Confidence Intervals
(0)

Confidence Intervals for Population Mean
(0)

Determining the Minimum Sample Size Required
(0)

8. Sampling Distributions & Confidence Intervals: Proportion(0)

Sampling Distribution of Sample Proportion
(0)

Confidence Intervals for Population Proportion
(0)

Chi Square Distribution
(0)

Confidence Intervals for Population Variance
(0)

9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
(0)

Performing Hypothesis Tests: Means
(0)

Performing Hypothesis Tests: Proportions
(0)

Performing Hypothesis Tests: Variance
(0)

Critical Values and Rejection Regions
(0)

Link Between Confidence Intervals and Hypothesis Testing
(0)

Type I & Type II Errors
(0)

10. Hypothesis Testing for Two Samples(0)

Two Proportions
(0)

Two Means - Unknown, Unequal Variance
(0)

Two Means - Unknown, Equal Variance
(0)

Two Means - Known Variance
(0)

Two Means - Matched Pairs (Dependent Samples)
(0)

Two Variances and F Distribution
(0)

11. Correlation(0)

Scatterplots & Intro to Correlation
(0)

Correlation Coefficient
(0)

12. Regression(0)

Linear Regression & Least Squares Method
(0)

Residuals
(0)

Coefficient of Determination
(0)

Inferences for Slope
(0)

Prediction Intervals
(0)

Quadratic Regression
(0)

13. Chi-Square Tests & Goodness of Fit(0)

Goodness of Fit Test
(0)

Contingency Tables
(0)

Independence Tests
(0)

Homogeneity Tests
(0)

14. ANOVA(0)

Introduction to ANOVA
(0)

Multiple Comparisons: Tukey Test
(0)

Multiple Comparisons: Tukey-Kramer Test
(0)

Multiple Comparisons: Bonferoni Test
(0)

Two-Way ANOVA
(0)

7. Sampling Distributions & Confidence Intervals: Mean

Introduction to Confidence Intervals

7. Sampling Distributions & Confidence Intervals: Mean

Introduction to Confidence Intervals: Videos & Practice Problems

Video Lessons Practice Worksheet

Back to all problems

33 of 0

PreviousNext

Problem 33Multiple Choice

$12$ batteries were randomly selected and tested for their lifespans (in $hours$ ), producing the following values: $42.1 comma 43.7 comma 41.5 comma 44.2 comma 42.8 comma 43.3 comma 41.9 comma 44.0 comma 42.5 comma 43.1 comma 42.3 comma 43.5$ . The normal quantile plot of this data appears to follow a straight line. Are the necessary assumptions satisfied to construct a $95 percent sign$ confidence interval for the population standard deviation? If so, calculate the interval.

Assumptions are satisfied; the $95 percent sign$ confidence interval is $open paren 0.67 comma 1.23 close paren$ .

Assumptions are not satisfied because the sample size is too small.

Assumptions are satisfied; the $95 percent sign$ confidence interval is $open paren 0.599 comma 1.142 close paren$ .

Assumptions are satisfied; the $95 percent sign$ confidence interval is $open paren 0.61 comma 1.47 close paren$ .

0 Comments

Download the Mobile app

Accessibility

Privacy

Do not sell my personal information