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Is memory ability before a meal the same as after a meal? len people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Ho: H₁: Select an answer ✓ Before a Meal Select an answer ✓ After a Meal Assume a Normal distribution. What can be concluded at the the a = For this study, we should use Select an answer a. The null and alternative hypotheses would be: Score on the Memory Test 84 56 71 68 99 63 67 68 88 58 63 68 99 63 67 68 88 78 58 53 42 83 59 60 66 84 53 Select an answer ✓ b. The test statistic ? ✓ = Select an answer ✓ 0.01 level of significance? Select an answer (please enter a decimal) Select an answer ✓ (Please enter a decimal) (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should | Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal. g. Interpret the p-value in the context of the study. There is a 1.16% chance that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. O If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance of concluding that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. There is a 1.16% chance of a Type I error. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance that the mean memory score for the 10 people who took the test before a meal would differ by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. h. Interpret the level of significance in the context of the study. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the population mean memory score before a meal is not the same as the population mean memory score after a meal O If the population mean memory score before a meal is the same as population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. There is a 1% chance that the population mean memory score is the same before and after a meal. There is a 1% chance that your memory is so bad that you have already forgotten what this chapter is about.

Is memory ability before a meal the same as after a meal? len people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Ho: H₁: Select an answer ✓ Before a Meal Select an answer ✓ After a Meal Assume a Normal distribution. What can be concluded at the the a = For this study, we should use Select an answer a. The null and alternative hypotheses would be: Score on the Memory Test 84 56 71 68 99 63 67 68 88 58 63 68 99 63 67 68 88 78 58 53 42 83 59 60 66 84 53 Select an answer ✓ b. The test statistic ? ✓ = Select an answer ✓ 0.01 level of significance? Select an answer (please enter a decimal) Select an answer ✓ (Please enter a decimal) (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should | Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal. g. Interpret the p-value in the context of the study. There is a 1.16% chance that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. O If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance of concluding that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. There is a 1.16% chance of a Type I error. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance that the mean memory score for the 10 people who took the test before a meal would differ by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. h. Interpret the level of significance in the context of the study. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the population mean memory score before a meal is not the same as the population mean memory score after a meal O If the population mean memory score before a meal is the same as population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. There is a 1% chance that the population mean memory score is the same before and after a meal. There is a 1% chance that your memory is so bad that you have already forgotten what this chapter is about.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Is memory ability before a meal the same as after a meal? len people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Ho: H₁: Select an answer ✓ Before a Meal Select an answer ✓ After a Meal Assume a Normal distribution. What can be concluded at the the a = For this study, we should use Select an answer a. The null and alternative hypotheses would be: Score on the Memory Test 84 56 71 68 99 63 67 68 88 58 63 68 99 63 67 68 88 78 58 53 42 83 59 60 66 84 53 Select an answer ✓ b. The test statistic ? ✓ = Select an answer ✓ 0.01 level of significance? Select an answer (please enter a decimal) Select an answer ✓ (Please enter a decimal) (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should | Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal.
Transcribed Image Text:Is memory ability before a meal the same as after a meal? len people were given memory tests before their meal and then again after their meal. The data is shown below. A higher score indicates a better memory ability. Ho: H₁: Select an answer ✓ Before a Meal Select an answer ✓ After a Meal Assume a Normal distribution. What can be concluded at the the a = For this study, we should use Select an answer a. The null and alternative hypotheses would be: Score on the Memory Test 84 56 71 68 99 63 67 68 88 58 63 68 99 63 67 68 88 78 58 53 42 83 59 60 66 84 53 Select an answer ✓ b. The test statistic ? ✓ = Select an answer ✓ 0.01 level of significance? Select an answer (please enter a decimal) Select an answer ✓ (Please enter a decimal) (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? ✓ a e. Based on this, we should | Select an answer the null hypothesis. f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the ten memory scores from the memory tests that were taken before a meal are not the same on average as the ten memory scores from the memory tests that were taken after a meal. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean memory score before a meal is equal to the population mean memory score after a meal. O The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean memory score before a meal is not the same as the population mean memory score after a meal.
g. Interpret the p-value in the context of the study. There is a 1.16% chance that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. O If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance of concluding that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. There is a 1.16% chance of a Type I error. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance that the mean memory score for the 10 people who took the test before a meal would differ by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. h. Interpret the level of significance in the context of the study. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the population mean memory score before a meal is not the same as the population mean memory score after a meal O If the population mean memory score before a meal is the same as population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. There is a 1% chance that the population mean memory score is the same before and after a meal. There is a 1% chance that your memory is so bad that you have already forgotten what this chapter is about.
Transcribed Image Text:g. Interpret the p-value in the context of the study. There is a 1.16% chance that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. O If the sample mean memory score for the 10 people who took the test before a meal is the same as the sample mean memory score for the 10 people who took the test after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance of concluding that the mean memory score for the 10 people who took the test before a meal differs by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. There is a 1.16% chance of a Type I error. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal then there would be a 1.16% chance that the mean memory score for the 10 people who took the test before a meal would differ by at least 8.6 points compared to the mean memory score for the 10 people who took the test after a meal. h. Interpret the level of significance in the context of the study. O If the population mean memory score before a meal is the same as the population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the population mean memory score before a meal is not the same as the population mean memory score after a meal O If the population mean memory score before a meal is the same as population mean memory score after a meal and if another 10 people are given a memory test before and after a meal, then there would be a 1% chance that we would end up falsely concuding that the sample mean memory scores before and after a meal for these 10 people who were part of the study differ from each other. There is a 1% chance that the population mean memory score is the same before and after a meal. There is a 1% chance that your memory is so bad that you have already forgotten what this chapter is about.
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