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STAT 1350 Final: Symbols and_Formulas

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School
Ohio State University
Department
Statistics
Course
STAT 1350
Professor
Michelle Everson

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Document Summary

Standard deviation of the sampling distribution of the mean when is known . Standard deviation of the sampling distribution of the mean when is not known . Standard deviation of the sampling distribution of the proportion when p is known. Standard deviation of the sampling distribution of the proportion when p is not known . You have a sample mean and you want to use this sample mean to create a confidence interval to estimate an unknown population mean. You have a sample proportion and you want to use this sample proportion to estimate an unknown population proportion. You have a single observation from a normal population and you want to standardize this observation. You have a sample mean, from a sample of size n, and you want to standardize this sample mean (i. e. , convert it to a test statistic).

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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Related Questions

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes largerĀ 

(c) stays the same, since the sample size has not been changed

(d) becomes negative.

Ā 

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportionĀ 

(b) The population proportionĀ 

(c) The population mean

(d) The population mean

Ā 

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(c) the resulting margin of error for a confidence interval estimate will tend to be fairly small.

(d) the z distribution must be used to obtain the critical value.

Ā 

Ā 

A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample mean,Ā xĀÆ\bar{x}Ė‰, is determined to be 104.3 and the sample standard deviation, s, is determined to be 15.9. (a) Construct the 90% confidence interval for the population mean if the sample size, n, is 15. (b) Construct the 90% confidence interval for the population mean if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct the 95% confidence interval for the population mean if the sample size, n, is 15. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval? (d) Construct the 90% confidence interval for the population standard deviation if the sample size, n, is 15.

Ā 

A coin mint has a specification that a particular coin has a mean weight of 2.5g. A sample of 32 coins was collected. Those coins have a mean weight of 2.49522g and a standard deviation of 0.01571g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5g. What is the test statistic and what is the p-value? State the final conclusion.