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3-day busihess trip in miy selected Citles. The accomnpanying data represent the total travel tax (in dollars) for normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 68.82 79.26 68.51 84.96 80.53 87.25 101.72 98.77 3 Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The travel tax is between $ and $ for % of all cities. B. There is a % probability that the mean travel tax for all cities is between $ and $ O C. One can be % confident that the mean travel tax for all cities is between $ and $ O D. One can be % confident that the all cities have a travel tax between $ and $ (c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data? O A. The researcher could increase the level of confidence. O B. The researcher could increase the sample mean.

3-day busihess trip in miy selected Citles. The accomnpanying data represent the total travel tax (in dollars) for normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below. 68.82 79.26 68.51 84.96 80.53 87.25 101.72 98.77 3 Click the icon to view the table of critical t-values. (a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $ (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. The travel tax is between $ and $ for % of all cities. B. There is a % probability that the mean travel tax for all cities is between $ and $ O C. One can be % confident that the mean travel tax for all cities is between $ and $ O D. One can be % confident that the all cities have a travel tax between $ and $ (c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data? O A. The researcher could increase the level of confidence. O B. The researcher could increase the sample mean.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**t-Distribution Table** This t-distribution table provides critical values for the t-distribution for various degrees of freedom (df) and corresponding probabilities in the right tail. It is essential for hypothesis testing in statistics, particularly in t-tests. **Graphical Representation:** - The top-left corner features a graph illustrating the t-distribution curve. - The shaded area represents the "Area in right tail," indicating the probability of values falling in this region. **Table Details:** - **Degrees of Freedom (df):** Listed vertically on the left, ranging from 1 to 1000. - **t-values for Different Alpha Levels (Area in Right Tail):** Columns correspond to the alpha levels commonly used in statistical tests: - 0.25 - 0.20 - 0.15 - 0.10 - 0.05 - 0.025 - 0.02 - 0.01 - 0.005 - 0.0025 - 0.001 - 0.0005 For each degree of freedom, the table provides the critical t-values required to find the cutoff point where a test statistic would be considered improbable if the null hypothesis were true. **Usage:** When conducting a t-test: - Select the appropriate row based on the degrees of freedom in your analysis. - Choose the column corresponding to your desired significance level (e.g., 0.05 for a 5% significance level). - The intersection provides the critical t-value. This table is crucial for determining whether to reject the null hypothesis in t-testing, thereby making informed decisions based on statistical analyses.
Transcribed Image Text:**t-Distribution Table** This t-distribution table provides critical values for the t-distribution for various degrees of freedom (df) and corresponding probabilities in the right tail. It is essential for hypothesis testing in statistics, particularly in t-tests. **Graphical Representation:** - The top-left corner features a graph illustrating the t-distribution curve. - The shaded area represents the "Area in right tail," indicating the probability of values falling in this region. **Table Details:** - **Degrees of Freedom (df):** Listed vertically on the left, ranging from 1 to 1000. - **t-values for Different Alpha Levels (Area in Right Tail):** Columns correspond to the alpha levels commonly used in statistical tests: - 0.25 - 0.20 - 0.15 - 0.10 - 0.05 - 0.025 - 0.02 - 0.01 - 0.005 - 0.0025 - 0.001 - 0.0005 For each degree of freedom, the table provides the critical t-values required to find the cutoff point where a test statistic would be considered improbable if the null hypothesis were true. **Usage:** When conducting a t-test: - Select the appropriate row based on the degrees of freedom in your analysis. - Choose the column corresponding to your desired significance level (e.g., 0.05 for a 5% significance level). - The intersection provides the critical t-value. This table is crucial for determining whether to reject the null hypothesis in t-testing, thereby making informed decisions based on statistical analyses.
**3. The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.** - Data: 68.82, 79.26, 68.51, 84.96, 80.53, 87.25, 101.72, 98.77 Click the icon to view the table of critical t-values. **(a) Determine a point estimate for the population mean travel tax.** A point estimate for the population mean travel tax is $___________. *(Round to two decimal places as needed.)* **(b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.** Select the correct choice below and fill in the answer boxes to complete your choice. *(Round to two decimal places as needed.)* - A. The travel tax is between $__________ and $__________ for __________% of all cities. - B. There is a __________% probability that the mean travel tax for all cities is between $__________ and $__________. - C. One can be __________% confident that the mean travel tax for all cities is between $__________ and $__________. - D. One can be __________% confident that all cities have a travel tax between $__________ and $__________. **(c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data?** - A. The researcher could increase the level of confidence. - B. The researcher could increase the sample mean. - C. The researcher could decrease the sample standard deviation. - D. The researcher could decrease the level of confidence.
Transcribed Image Text:**3. The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.** - Data: 68.82, 79.26, 68.51, 84.96, 80.53, 87.25, 101.72, 98.77 Click the icon to view the table of critical t-values. **(a) Determine a point estimate for the population mean travel tax.** A point estimate for the population mean travel tax is $___________. *(Round to two decimal places as needed.)* **(b) Construct and interpret a 95% confidence interval for the mean tax paid for a three-day business trip.** Select the correct choice below and fill in the answer boxes to complete your choice. *(Round to two decimal places as needed.)* - A. The travel tax is between $__________ and $__________ for __________% of all cities. - B. There is a __________% probability that the mean travel tax for all cities is between $__________ and $__________. - C. One can be __________% confident that the mean travel tax for all cities is between $__________ and $__________. - D. One can be __________% confident that all cities have a travel tax between $__________ and $__________. **(c) What would you recommend to a researcher who wants to increase the precision of the interval, but does not have access to additional data?** - A. The researcher could increase the level of confidence. - B. The researcher could increase the sample mean. - C. The researcher could decrease the sample standard deviation. - D. The researcher could decrease the level of confidence.
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