Question

In: Statistics and Probability

"The underlying principle of all statistical inference techniques is that one uses sample statistics to learn...

"The underlying principle of all statistical inference techniques is that one uses sample statistics to learn something (i.e., to infer something) about population parameters ."

Demonstrate how well you understand this statement by writing a short paragraph describing a situation in which you might use a sample statistic to infer something about a population parameter. Clearly identify the sample, population, statistic, and parameter in your example. Would you use a confidence interval or a hypothesis test?

Be as specific as possible.

Solutions

Expert Solution

______________________________________________________________


Related Solutions

1. Why are (1) statistical inference, (2) predictive statistics, (3) prescriptive statistics, and (4) descriptive statistics...
1. Why are (1) statistical inference, (2) predictive statistics, (3) prescriptive statistics, and (4) descriptive statistics methods important to Six Sigma? Describe the structure of a cause-and-effect diagram. What is a root cause? How does the “5 Why” technique help uncover the root cause?
One of the first uses of some techniques in statistics goes back to 1920s for the...
One of the first uses of some techniques in statistics goes back to 1920s for the purpose of testing the effectiveness of fertilizers on plots of lands. The objective of this exercise was to see if different amounts of fertilizers are yielding different amounts of crops. Recently, a scientist at one of the top agricultural colleges in the U.S. decided to conduct this experiment on some new fertilizers and was interested to see the impact of them on crop yields....
When considering statistical inference, it is important to ensure that the sample used is generalizable to...
When considering statistical inference, it is important to ensure that the sample used is generalizable to the actual population being estimated. Sampling errors result may create biases that cause the actual error term to be much larger than the standard error. This, in turn, may lead to Type I and Type II errors even though the critical test statistics and p-values are outside the rejection region. Define and discuss non-response bias, undercoverage, and response bias. Identify specific scenarios in business...
Answer choices A and B are summary statistics. Answer choices C through K are inference techniques....
Answer choices A and B are summary statistics. Answer choices C through K are inference techniques. Each answer choice is to be used only once. Summary Statistics: A. Mean B. Five-number summary Inference Techniques: C. 1-sample mean t-test D. Matched pairs E. 2-sample comparison of means F. One-way ANOVA G. Two-way ANOVA H. Simple linear regression I. Multiple regression J. 1-sample proportion test K. Chi-square test _____ Part One. In the population, is there an association between the brand of...
Throughout the course, you have studied and used tools and techniques that have underlying statistical theory...
Throughout the course, you have studied and used tools and techniques that have underlying statistical theory and assumptions. Regression is no different. Haphazard application of regression analysis, as with any type of statistical technique, can lead to results that are inaccurate and that, even worse, can get you or your employer into trouble (whether that trouble involves product faults, legal issues, or simply wasted time and money). Thus, you must always be cognizant of the conditions of the problem as...
What is statistical inference? A) a way to infer conclusions about the wider population from sample...
What is statistical inference? A) a way to infer conclusions about the wider population from sample data B) using facts about a sample to estimate the truth about the whole population C) a way to describe the uncertainty and variability inherent in all statistical information D) all of the above
QUESTION 1 The fundalmental condition that permits proper statistical inference is a. having a large sample...
QUESTION 1 The fundalmental condition that permits proper statistical inference is a. having a large sample b. normal distribution of scores c. random sampling d. knowledge of the values of the parameters of the population QUESTION 2 Randomization and random sampling a. can be substituted for each other b. often amount to the same thing c. are different procedures d. are synonymous QUESTION 3 Randomization is used to a. assigning participants to experimental conditions b. to analyze data from random...
One of the best-known techniques for selecting a random sample is the ________________ method. All observations...
One of the best-known techniques for selecting a random sample is the ________________ method. All observations must be represented on slips of paper that are deposited in a bowl and _________________. The through stirring is a very important aspect of this method of sample selection. Another method for generating a random sample involves the use of the table of random numbers. When using this table, the number of digits actually used is determined by the ____________ __________________. This method is...
STATISTICAL INFERENCE A company has been producing steel tubes of mean diameter 2.00 cm.A sample of...
STATISTICAL INFERENCE A company has been producing steel tubes of mean diameter 2.00 cm.A sample of 10 tubes gives a mean diameter of 2.01cm and variance of 0.004sq.cm .Is the difference in the mean values significant? PLEASE EXPLAIN THE MEANING OF THE    SIGNIFICANCE OF THE DIFFERENCE IN MEAN VALUES IN DETAILS.
A process is in statistical control with   and The control chart uses a sample size of n...
A process is in statistical control with   and The control chart uses a sample size of n = 3. Specifications are at 42 ± 4. The quality characteristic is normally distributed. What conditions should we check to ensure that conclusions from a capability analysis are correct? Estimate the potential capability of the process. Estimate the actual capability of the process. How much improvement in ppm could be made in process performance if the mean could be centered at the nominal value?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT