What is a standard deviation


Complete the below mcq:

Question 1.1. A standard deviation is a _____.

sample

descriptive statistic

census

inference statistic

Question 2.2. The vertical line to the peak of the bell curve represents the _____.

point estimates

random variables

statistics

mean

Question 3.3. The sampling method in which every item in the population has an equal probability of being selected is called which of the following?

Simple random sampling

Stratified sampling

Systematic sampling

Judgment sampling

Question 4.4. Calculating the average value of five sample measurements of door width is an example of which of the following?

Descriptive statistics

Statistical inference

Predictive statistics

Analytical statistics

Question 5.5. A subset of items selected from a population is called which of the following?

Sample

Statistic

Census

Parameter

Question 6.6. Which of the following tools is used to identify and isolate causes of a problem?

Shewart diagram

Scatter diagram

Cause-and-effect diagram

Histogram

Question 7.7. Poka-yoke means which of the following?

Quality

Fool-proof

Mistake

Tampering

Question 8.8. A tool that helps everyone begin a project with the same understanding is a _____.

Scatter diagram

flow chart

quality circle

pareto chart

Question 9.9. Which of the following pairs of charts are used together?

X-Bar chart and p-chart

R-chart and p-chart

R-chart and s-chart

X-Bar chart and R-chart

Question 10.10. A bank observes that most customer complaints come from only a small subset of its total customer base. This is an example of which of the following?

Clustering analysis

The Pareto principle

Data skewing

The central limit theorem

Question 11.11. Determine the sample standard deviation(s) for the following data: 7, 9, 2, 0, 1, and 5.

s = 2.805

s = 3.266

s = 2.927

s = 3.578

Question 12.12. Six samples of subgroup size 5 (n=5) were collected. Determine the upper control limit (UCL) for an X-Bar chart if the mean of the sample averages is 4.7 and mean of the sample ranges is 0.35.

UCL = 4.86905

UCL = 4.90195

UCL = 4.72250

UCL = 5.05805

Question 13.13. Twenty samples of subgroup size of 5 (n = 5) were collected for a variable measurement. Determine the upper control limit (UCL) for an R-chart if the mean of the sample ranges equals 4.4.

UCL = 9.3060

UCL = 1.4695

UCL = 11.3256

UCL = 8.8176

Essay Questions:

Create a 30 words per essay. NO PLAGIARISM!!!

Question 1.

What are the advantages of studying a sample from the population instead of studying the entire population though a census?

Question 2.

From the standpoint of SPC, what does the standard deviation measure?

Question 3.

What is a judgment sample?

Question 4.

Explain the difference between Type I and Type II errors in the context of a control chart. Why is it important to give operators control over their processes?

Question 5.

What conditions support the use of a control chart for individuals? Discuss any limitations associated with the chart use. Explain the relationship that exists between a histogram and a control chart.

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Basic Statistics: What is a standard deviation
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