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At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho: Ha: Select your answer - -Select your answer - b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean 935 (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - d. What is the p-value (to 3 decimals)? The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending November 7, 2012 the survey results showed 38.5% bullish, 21.6% neutral, and 39.9% bearish (AAII website, November 12, 2012). Assume these results are based on a sample of 300 AAII members. a. Over the long-term, the proportion of bullish AAII members is .39. Conduct a hypothesis test at the 5% level of significance to see if the current sample results show that bullish sentiment differs from its long-term average of .39. What are your findings? Ho: p-Select your answer - Ha: p -Select your answer - p-value - Select your answer- Conclusion: - Select your answer - b. Over the long-term, the proportion of bearish AAII members is .30. Conduct a hypothesis test at the 1% level of significance to see if the current sample results show that bearish sentiment is above its long-term average of .30. What are your findings? Ho: p-Select your answer - Ha: p-Select your answer - p-value Conclusion: Select your answer - - Select your answer - c. Would you feel comfortable extending these results to all investors? - Select your answer - Why or why not? The input in the box below will not be graded, but may be reviewed and considered by your instructor.

At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho: Ha: Select your answer - -Select your answer - b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean 935 (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - d. What is the p-value (to 3 decimals)? The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending November 7, 2012 the survey results showed 38.5% bullish, 21.6% neutral, and 39.9% bearish (AAII website, November 12, 2012). Assume these results are based on a sample of 300 AAII members. a. Over the long-term, the proportion of bullish AAII members is .39. Conduct a hypothesis test at the 5% level of significance to see if the current sample results show that bullish sentiment differs from its long-term average of .39. What are your findings? Ho: p-Select your answer - Ha: p -Select your answer - p-value - Select your answer- Conclusion: - Select your answer - b. Over the long-term, the proportion of bearish AAII members is .30. Conduct a hypothesis test at the 1% level of significance to see if the current sample results show that bearish sentiment is above its long-term average of .30. What are your findings? Ho: p-Select your answer - Ha: p-Select your answer - p-value Conclusion: Select your answer - - Select your answer - c. Would you feel comfortable extending these results to all investors? - Select your answer - Why or why not? The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho: Ha: Select your answer - -Select your answer - b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean 935 (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - d. What is the p-value (to 3 decimals)?
Transcribed Image Text:At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation σ = 180 is assumed known. Each year, the assistant dean uses a sample of applications to determine whether the mean examination score for the new freshman applications has changed. a. State the hypotheses. Ho: Ha: Select your answer - -Select your answer - b. What is the 95% confidence interval estimate of the population mean examination score if a sample of 200 applications provided a sample mean 935 (to the nearest whole number)? c. Use the confidence interval to conduct a hypothesis test. Using a = 0.05, can the assistant dean conclude that the mean examination score for the new freshman applications has changed? - Select your answer - d. What is the p-value (to 3 decimals)?
The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending November 7, 2012 the survey results showed 38.5% bullish, 21.6% neutral, and 39.9% bearish (AAII website, November 12, 2012). Assume these results are based on a sample of 300 AAII members. a. Over the long-term, the proportion of bullish AAII members is .39. Conduct a hypothesis test at the 5% level of significance to see if the current sample results show that bullish sentiment differs from its long-term average of .39. What are your findings? Ho: p-Select your answer - Ha: p -Select your answer - p-value - Select your answer- Conclusion: - Select your answer - b. Over the long-term, the proportion of bearish AAII members is .30. Conduct a hypothesis test at the 1% level of significance to see if the current sample results show that bearish sentiment is above its long-term average of .30. What are your findings? Ho: p-Select your answer - Ha: p-Select your answer - p-value Conclusion: Select your answer - - Select your answer - c. Would you feel comfortable extending these results to all investors? - Select your answer - Why or why not? The input in the box below will not be graded, but may be reviewed and considered by your instructor.
Transcribed Image Text:The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending November 7, 2012 the survey results showed 38.5% bullish, 21.6% neutral, and 39.9% bearish (AAII website, November 12, 2012). Assume these results are based on a sample of 300 AAII members. a. Over the long-term, the proportion of bullish AAII members is .39. Conduct a hypothesis test at the 5% level of significance to see if the current sample results show that bullish sentiment differs from its long-term average of .39. What are your findings? Ho: p-Select your answer - Ha: p -Select your answer - p-value - Select your answer- Conclusion: - Select your answer - b. Over the long-term, the proportion of bearish AAII members is .30. Conduct a hypothesis test at the 1% level of significance to see if the current sample results show that bearish sentiment is above its long-term average of .30. What are your findings? Ho: p-Select your answer - Ha: p-Select your answer - p-value Conclusion: Select your answer - - Select your answer - c. Would you feel comfortable extending these results to all investors? - Select your answer - Why or why not? The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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