1. [3/4.5 Points] DETAILS PREVIOUS ANSWERS Consider the following hypothesis test. Ho: H = 12 H:...
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1. [3/4.5 Points] DETAILS PREVIOUS ANSWERS Consider the following hypothesis test. Ho: H = 12 H: > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.23. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) 2.315 (b) Use the t distribution table to compute a range for the p-value. p-value>0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 p-value < 0.025 p-value < 0.010 (c) At a 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic 1.711 test statistic 1.711 At = 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. 123 Tutorial 2. [2/4 Points] DETAILS PREVIOUS ANSWERS Consider the following hypothesis test. = 18 Ho: = Ha 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.3. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) 1.575 (b) Use the t distribution table to compute a range for the p-value. p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 O p-value < 0.010 (c) At = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic 1.575 test statistic -1.575 At = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. Tutorial 3. [2/7 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER You may need to use the appropriate appendix table to answer this question. According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 61 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. (a) Develop appropriate hypotheses to test if there is evidence that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Use the "Relations" tab and/or the "Greek" tab in the mathPad at the right of the screen if needed. Remember: Enter != for as needed. Ho 32.48 Ha 32.48 (b) Use the sample information from the 61 bottles to calculate the test statistic. (Round your answer to three decimal places.) -1.504 (c) Use Excel and the sample information from the 61 bottles to find the p-value. (Round your answer to four decimal places.) p-value = 0.0690 At = 0.05, what is your conclusion? O Do not reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Do not reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. O Reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. (d) Repeat the preceding hypothesis test using the critical value approach. Restate the null and alternative hypotheses. Use the "Relations" tab and/or the "Greek" tab in the mathPad at the right of the screen if needed. Remember: Enter != for * as needed. -1.671 Ho: H: -1.671 Reenter the value of the test statistic. (Round your answer to three decimal places.) -1.671 State the critical values for the rejection rule. Use = 0.05. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic -1.671 test statistic -1.671 At = 0.05, what is your conclusion? O Do not reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Do not reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. O Reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. 1. [3/4.5 Points] DETAILS PREVIOUS ANSWERS Consider the following hypothesis test. Ho: H = 12 H: > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.23. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) 2.315 (b) Use the t distribution table to compute a range for the p-value. p-value>0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 p-value < 0.025 p-value < 0.010 (c) At a 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic 1.711 test statistic 1.711 At = 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. Reject Ho. There is sufficient evidence to conclude that the population mean is greater than 12. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is greater than 12. 123 Tutorial 2. [2/4 Points] DETAILS PREVIOUS ANSWERS Consider the following hypothesis test. = 18 Ho: = Ha 18 A sample of 48 provided a sample mean x = 17 and a sample standard deviation s = 4.3. (a) Compute the value of the test statistic. (Round your answer to three decimal places.) 1.575 (b) Use the t distribution table to compute a range for the p-value. p-value > 0.200 0.100 < p-value < 0.200 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 O p-value < 0.010 (c) At = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic 1.575 test statistic -1.575 At = 0.05, what is your conclusion? Reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is sufficient evidence to conclude that the population mean is different from 18. Reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. Do not reject Ho. There is not sufficient evidence to conclude that the population mean is different from 18. Tutorial 3. [2/7 Points] DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER You may need to use the appropriate appendix table to answer this question. According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New England-based lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 61 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively. (a) Develop appropriate hypotheses to test if there is evidence that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Use the "Relations" tab and/or the "Greek" tab in the mathPad at the right of the screen if needed. Remember: Enter != for as needed. Ho 32.48 Ha 32.48 (b) Use the sample information from the 61 bottles to calculate the test statistic. (Round your answer to three decimal places.) -1.504 (c) Use Excel and the sample information from the 61 bottles to find the p-value. (Round your answer to four decimal places.) p-value = 0.0690 At = 0.05, what is your conclusion? O Do not reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Do not reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. O Reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. (d) Repeat the preceding hypothesis test using the critical value approach. Restate the null and alternative hypotheses. Use the "Relations" tab and/or the "Greek" tab in the mathPad at the right of the screen if needed. Remember: Enter != for * as needed. -1.671 Ho: H: -1.671 Reenter the value of the test statistic. (Round your answer to three decimal places.) -1.671 State the critical values for the rejection rule. Use = 0.05. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic -1.671 test statistic -1.671 At = 0.05, what is your conclusion? O Do not reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Do not reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. O Reject Ho. Conclude there is evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48. Reject Ho. Conclude there is not evidence that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
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