Example 5.24 From the following data, determine (a) the lowest mark scored by the top 10% of the lass; and (b) the highest mark scored by the lowest 20% of the class. Marks No. of Students 90-100 80-89 9. 120 32 111 70-79 43 79 60-69 21 36 50-59 11 15 40-49 4. 30-39 1 1
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- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. The point estimate for the true difference in proportion of dark growth bands between February and March is:Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01. A) The point estimate for the true difference in proportion of dark growth bands between February and March is:
- Marine biologists have noticed that the color of the outermost growth band on a clam tends to be related to the time of year in which the clam dies. A biologist conducted a small investigation of whether this is true for the species Protothaca staminea. She collected a sample of 50 clam shells in February and 27 clam shells in March. 15 of the shells from February had a dark color on the outermost growth band, whereas 8 of the shells from March had a dark color on the outermost growth band. Carry out a hypothesis test to see if there is a difference in the proportion of shells with a dark outermost growth band between the two months. Let ? = 0.01.Note: Do all calculations as February - March A) The point estimate for the true difference in proportion of dark growth bands between February and March is: I need help and webassign rejected the 0.0037 as the answer. I'm so lost. I emailed my professor and he hasn't gotten back to me. Please help. Thank you.A mining company finds that daily lost-work injuries averages to 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?An auctioneer of antique Iranian rugs kept records of his weekly auctions in order to determine the relationships among price, age of carpet or rug, number of people attending the auction, and the number of times the winning bidder had previously attended his auctions. He felt that, with this information, he could plan his auctions better, serve his steady customers better, and make a higher overall profit for himself. The results shown in the accompanying table were obtained.
- From the data in the table it shows the 2019 daily return data for the S&P 500 Index (stocks) and the US 30 year Bond (bonds). How do I test the hypothesis that mean daily return on stocks exceeds the mean daily return on bonds? Please show the steps. S&P500 dailt returns data: Date Price Daily Return 2019-12-31 3230.78 0.294602% 2019-12-30 3221.29 -0.578082% 2019-12-27 3240.02 0.003398% 2019-12-26 3239.91 0.512817% 2019-12-24 3223.38 -0.019545% 2019-12-23 3224.01 0.086614% 2019-12-20 3221.22 0.494478% 2019-12-19 3205.37 0.445929% 2019-12-18 3191.14 -0.043230% 2019-12-17 3192.52 0.033529% US 30 Year Bond Date Price Daily Return 31-Dec-19 2.389 2.32% 30-Dec-19 2.335 0.78% 29-Dec-19 2.317 -0.03% 27-Dec-19 2.318 -0.16% 26-Dec-19 2.321 -0.71% 25-Dec-19 2.338 0.15% 24-Dec-19 2.334 -0.83% 23-Dec-19 2.354 0.31% 22-Dec-19 2.346 0.12% 20-Dec-19 2.344 -0.43%Q3The following information was recorded in a toy store: Year 2016 Year 2017 Year 2018 Price Quantity Price Quantity Price Quantity Slime 6 50 9 60 10 56 Sticky tact 2 100 2 105 2 120 Stinky egg 4 60 4 50 6 60 Teddy Bear 10 30 11 26 12 24 Tortoise 8 40 11 39 12 36 Q3The following information was recorded in a toy store: (a) By using the above data, compute the Laspeyres Price Index for year 2018 by using year 2016 as base year. (b) Interpret your answer in part (a)). (c) By using the above data, compute the Paasche Price Index for year 2018 by using year 2016 as base year. (d) Which item has experienced the greatest inflation rate from year 2017 to year 2018? (Just state your answer, no calculation is needed in part (d)).A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. x (number of job changes) 5 3 4 6 1 5 9 10 10 3 y (Salary in $1000) 36 35 38 32 32 38 43 37 40 33 In this setting we have Σx = 56, Σy = 364, Σx2 = 402, Σy2 = 13,364, and Σxy = 2107.Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) %(d) Test the claim that the population correlation coefficient ? is positive at the 5% level of significance. (Round your test statistic…
- A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. x (number of job changes) 5 3 4 6 1 5 9 10 10 3 y (Salary in $1000) 36 35 38 32 32 38 43 37 40 33 In this setting we have Σx = 56, Σy = 364, Σx2 = 402, Σy2 = 13,364, and Σxy = 2107. (e) If someone had x = 3 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) thousand dollars(f) Find Se. (Round your answer to three decimal places.)Se = (g) Find a 90% confidence interval for the annual salary of an individual with x = 3 job changes. (Round your answers to two decimal places.) lower limit thousand dollars upper limit thousand dollars (h) Test the claim that the slope ? of the population least-squares line is positive at the 5% level of…A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. x (number of job changes) 5 3 4 6 1 5 9 10 10 3 y (Salary in $1000) 36 35 38 32 32 38 43 37 40 33 In this setting we have Σx = 56, Σy = 364, Σx2 = 402, Σy2 = 13,364, and Σxy = 2107. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.) x = y = b = ŷ = + xThe following data was obtained from 6 years of stock market data, by calculating the number of days that the stock market indices were up more than 2% in USA and in Canada. For example, in 2012 the US index was up over 2% in 36 sessions, whereas the Canadian index was up over 2% in 33 sessions. The data for 2007-2012 is as follows: Year US Index Canadian Index 2012 36 33 2011 38 29 2010 27 26 2009 18 10 2008 13 2 2007 24…
