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TO ESTIMATE THE AVERAGE AGE OF STUDENTS A SAMPLE OF 50 PARTICIPANTS WAS OBTAINED, WITH A MEAN OF 16 AND A POPULATIONAL VARIATION OF 9, calculate:* POINT ESTIMATE OF THE MEANS* 95% AND 99% CONFIDENCE INTERVAL ESTIMATES FOR THE MEANS?

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shirley mogollon

Lvl 2
∙ 2y ago
Updated: 9/27/2023

Point Estimate of the Mean:

The point estimate of the mean is 16, since this is the sample mean.

95% Confidence Interval Estimate for the Mean:

The 95% confidence interval estimate for the mean can be calculated using the following formula:

Mean +/- Margin of Error = (16 +/- 1.96*(9/sqrt(50))) = 16 +/- 1.51 = 14.49 to 17.51

99% Confidence Interval Estimate for the Mean:

The 99% confidence interval estimate for the mean can be calculated using the following formula:

Mean +/- Margin of Error = (16 +/- 2.58*(9/sqrt(50))) = 16 +/- 2.13 = 13.87 to 18.13

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David Denton

Lvl 10
∙ 2y ago

What else can I help you with?

Continue Learning about Statistics

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Vitamins to analyze the variation of vitamin supplement tablets you randomly select and weigh 14 tablets the results in milligrams are shown use 90 percent level of confidence?

To analyze the variation of vitamin supplement tablets, calculate the mean and standard deviation of the weights of the 14 tablets. With a 90% confidence level, determine the margin of error using the t-distribution. This margin of error will help define the range within which the true mean weight of the tablets is likely to lie.

What are the different kinds of variation?

Continuous Variation and Discontinuous Variation.

Is this a joint variation or combined variation a 7bc?

Joint variation

Why is a sample size important to accuracy?

A sample size is crucial to accuracy because it influences the reliability and validity of statistical estimates. A larger sample size generally reduces the margin of error and increases the likelihood that the sample accurately reflects the population, minimizing the effects of random variation. Conversely, a small sample size can lead to skewed results and may not capture the diversity of the population, increasing the risk of erroneous conclusions. Ultimately, an appropriate sample size enhances the confidence in the findings derived from the data.

What effect does increasing the sample size have on the probability?

Increasing the sample size generally enhances the accuracy and reliability of statistical estimates. As the sample size grows, the standard error decreases, leading to narrower confidence intervals and greater precision in estimating population parameters. This also increases the likelihood of detecting a true effect if one exists, thereby improving the power of statistical tests. Overall, larger sample sizes reduce the impact of random variation and yield more consistent results.

What is the term for a variation of the theme using?

The term for a variation of a theme is called a "variation."

How do you do a direct variation with an inverse variation problem?

If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).

What is the difference direct variation and inverse variation?

Direct variation is the ratio of two variable is constant. Inverse variation is when the product of two variable is constant. For example, direct variation is y = kx and indirect variation would be y = k/x .

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