L11 Quiz_ Homework_ Social Science Statistics

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Brigham Young University, Idaho *

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221 C

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Statistics

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Apr 3, 2024

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L11 Quiz: Homework Due Feb 17 at 10:59pm Points 10 Questions 13 Available Feb 7 at 11pm - Feb 17 at 10:59pm Time Limit None Allowed Attempts 2 Instructions This quiz was locked Feb 17 at 10:59pm. Attempt History Attempt Time Score KEPT Attempt 2 4 minutes 10 out of 10 LATEST Attempt 2 4 minutes 10 out of 10 Attempt 1 31 minutes 3 out of 10 Score for this attempt: 10 out of 10 Submitted Feb 17 at 10:21am This attempt took 4 minutes.  Question 1 0.5 / 0.5 pts Preparation Download the L11 Homework Assignment (https://byuistats.github.io/BYUI_M221_Book/hp/L11/11_HW_Assignment_A.html) and answer the questions. Attempt each problem on your own. You are encouraged to collaborate with other students after your first attempt. Download the L11 Homework Answer Key (https://byuistats.github.io/BYUI_M221_Book/hp/L11/11_HW_Answer_Key_A.html) and check your answers. Take the Quiz You may use your notes, but you should complete the quiz without help from others. This quiz is a tool to help you and your instructor gauge your progress.

Correct! 0.282 0.282 (with margin: 0.001)  Question 2 0.5 / 0.5 pts Correct! 0.294 0.293 (with margin: 0.001) Use the following information to answer the next seven questions. Computer software is commonly used to translate text from one language to another. As part of his Ph.D. thesis, Philipp Koehn developed a phrase-based translation program called Pharaoh. The quality of the translation can vary. A good translation system should match a professional human translation. It is important to be able to quantify how good the translations produced by Pharaoh are. The IBM T. J. Watson Research Center developed methods to measure the quality of a translation from one language to another. One of these is the BiLingual Evaluation Understudy (BLEU). A BLEU score is a number ranging from 0 to 1 that indicates how well a computer translation matches a professional human translation of the same text. Higher scores indicate a better match. BLEU helps companies who develop translation software "to monitor the effect of daily changes to their systems in order to weed out bad ideas from good ideas." To compare Pharaoh's ability to translate with similar computer translation software, Koehn took a random sample of 100 blocks of Spanish text, each of which contained 300 sentences, and used Pharaoh to translate each of these to English. The BLEU score was calculated for each of the 100 blocks. These scores are recorded in the data file BLEU-Scores.xlsx (https://byuistats.github.io/BYUI_M221_Book/Data/BLEU-Scores.xlsx) . He wants to use this data to see if his mean BLEU score differs from the mean BLEU score of another leading translation software which has a population mean score of 0.295. Assuming the requirements are satisfied, construct a 95% confidence interval for Pharaoh's true mean BLEU score. Record your answers below. Input the lower bound of your confidence interval. (Round your answer accurate to three decimal places.) Input the upper bound of your confidence interval. (Round your answer accurate to three decimal places.)

 Question 3 0.5 / 0.5 pts Correct! 99 99 (with margin: 0)  Question 4 0.5 / 0.5 pts Correct! -2.803 -2.8 (with margin: 0.005)  Question 5 1 / 1 pts Correct! 0.006 0.006 (with margin: 0.001)  Question 6 1 / 1 pts Yes, because the P-value was greater than the level of significance. Correct! Yes, because the P-value was lower than the level of significance. No, because the results of the test were statistically insignificant. Calculate the degrees of freedom, the test statistic, and the P-value for a test of : , against : . Assume the requirements are satisfied. Input your answers in the next 3 questions. Input the degrees of freedom. Input the t-statistic by rounding to two decimal places (Example: 2.34). Input the P-value. Round your answer to three decimal places (Example: 0.009). Based on the results of this test, is there enough evidence to say that Pharaoh's ability to translate into English is different than the other leading translation software? Use a level of significance of .

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No, because the P-value was greater than the level of significance.  Question 7 1 / 1 pts Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software. Unlike the two-tailed test, we would conclude that there is no difference between Pharaoh's translation and the translation of the other software. The results of a lower-tailed test are always opposite the results of a two-tailed test, so we would fail to reject the null hypothesis. Correct! The conclusion would be the same as the two-tailed test. Although the P-value for the lower-tailed test is different, it is still less than alpha. The conclusion would be the same as the two-tailed test. Although the P-value for the lower-tailed test is the same as the P-value for the two-sided test.  Question 8 0.5 / 0.5 pts Suppose the alternative hypothesis of this test had been lower-tailed instead of two-tailed. How would this affect the conclusions of this test? Use the following information to answer the next 6 questions. An investor with a stock portfolio worth several hundred thousand dollars sued his broker and brokerage firm because he felt that lack of diversification in his portfolio led to poor performance for many years in a row. In an effort to avoid close public scrutiny, the firm agreed to settle the conflict by an arbitration panel. The arbitration panel compared a sample of 39 months of the investor's returns with the average of the Standard & Poor's 500-stock index for the same period in order to determine whether there was a substantial decrease. Their data is in the file RatesOfReturn.xlsx (https://byuistats.github.io/BYUI_M221_Book/Data/RatesOfReturn.xlsx) . Suppose that you are a member of this arbitration panel. Construct a 95% confidence interval for the true mean return of the investor's portfolio. Record your answers below. Input the lower bound of your confidence interval. (Round your answer accurate to three decimal places.)

Correct! -3.052 -3.052 (with margin: 0.001)  Question 9 0.5 / 0.5 pts Correct! 0.838 0.838 (with margin: 0.001)  Question 10 1 / 1 pts Correct! One-tailed Two-tailed  Question 11 1 / 1 pts Correct! -2.141 -2.141 (with margin: 0.001)  Question 12 1 / 1 pts Correct! Input the upper bound of your confidence interval. (Round your answer accurate to three decimal places.) Historically, the S&P has a mean return of $0.95. Conduct a hypothesis test to determine if the investor's portfolio performed significantly worse than the performance of the S&P 500. Use a level of significance of . Is the alternative hypothesis for this test one-tailed or two-tailed? What is the t-score for this test? Give your answer accurate to three decimal places. (Example: -3.234) What is the P-value for this test? Give your answer accurate to three decimal places. (Example: 0.034)

0.019 0.019 (with margin: 0.001)  Question 13 1 / 1 pts Correct! Yes, because we rejected the null. Yes, because we failed to reject the null. No, because we rejected the null. No, because we failed to reject the null. Quiz Score: 10 out of 10 COPYRIGHT 2024 BRIGHAM YOUNG UNIVERSITY-IDAHO Based on the results of this test, is there enough evidence to say that the investor's portfolio performed significantly worse than the S&P 500?

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