1175%c) Suppose that the data over the last 44 years was somewhat different, and that the box plots forthe two awards instead looked like the ones below. Box plots typically use five data points, butthe box plots below appear to use only four data points. What is going on with the data for eachof these box plots? Explain your reasoning in i) and ii).Best Actor2938445183Best Actress30354780) What is going on with the Best Actor box plot above?ii) What is going on with the Best Actress box plot above?d) Using the original two box plots (not the ones from part c), do you think Kelly is correct thatthere may be some gender discrimination occurring regarding the ages of the award winners?Explain your reasoning.41°F66hp 1) At the 93d Academy Awards ceremony held on March 15, 2021, Anthony Hopkins won the AcademyAward for Best Actor for his role in The Father. At the age of 83, he became the oldest actor to everwin the Oscar for Best Actor. This made Kelly, a student in Quantitative Reason, wonder about theage differences between those who have won the award for Best Actor compared with those whohave won the award for Best Actress. Based on her research, Kelly believes that there is clear genderdiscrimination for this award by the memberss of the Academy of Motion Pictures.Below are two box plots showing the ages of the Oscar winners for these two categories over thelast 44 years.Best Actor2938445183Best Actress2130354780a) Look at the box plot for Best Actor. What do each of the values 29, 38, 44, 51, and 83 indicateabout the ages of the winners of the Best Actor award over the last 44 years?b) If we wanted to determine which of the two awards has the least reliable pattern for the ages ofthe winners, what are some features we might look at? Based on these features, which awardwould you say has the least reliable pattern for the ages of the winners?

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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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The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females. One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P 0.5 O Ho: P = 0.5; H₁: p 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round…
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 11 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly less than 0.3. You use a significance level of α=0.02α=0.02.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail…
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 72 stocks traded on the NYSE that day showed that 12 went up. You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of a = 0.005. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O…
Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, and the number of PFCs purchased per week. PFC Spending 2 13.88 7 39.11 4 19.79 1 9.84 3 15.43 1 21.52 5 37.39 3 13.85 Calculate the slope and y-intercept for the regression formula. The slope is b1=(Round to three decimal places as needed.)
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 61 stocks traded on the NYSE that day showed that 30 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.001α=0.001.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null…
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 74 stocks traded on the NYSE that day showed that 11 went up. You are conducting a study to see if the proportion of stocks that went up is significantly less than 0.3. You use a significance level of a = 0.05. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail…
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Opinions are split about a coffee company's pumpkin-flavored coffee (PFC). Yet every year over the last five years the consumption of pumpkin-flavored goods has increased. If we look at the numbers, it also becomes clear why a leading coffee company keeps offering the PFC earlier and earlier every year. According to a magazine, the amount spent by PFC buyers at the coffee company is about 17% higher than non-PFC buyers. The accompanying table shows a random sample of eight consumers, the amount they spend per week, and the number of PFCs purchased per week. PFC Spending 2 13.88 7 39.11 4 19.79 1 9.84 3 15.43 1 21.52 5 37.39 3 13.85 The slope is b1=4.465 The y-intercept is b0=6.840 Because the slope is positive, it can be concluded that one extra PFC purchase per week will increase the average amount of spending per week by 4.46 dollars. Predict…
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.A sample of 80 stocks traded on the NYSE that day showed that 26 went up.You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of α=0.002What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to…
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