To investigate the relationship between yield of potatoes, y, and level of fertilizer application, x, a researcher divides a fieid into eight plots of equal size and applies differing amounts of fertilizer to each. The yield of potatoes (in pounds) and the fertilizer application (in pounds) are recorded for each plot. The data are as follows: I1 15 2 25 3.5 4. 4.5 35 32 34 3 |25 31 27 28 36 Find SX O 10.2 10.5 11.5 9.5 o000
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- In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Twenty-three randomly selected plots of land were treated with a brand new fertilizer, and 21 randomly selected plots were treated with an old fertlizer. The number of pounds of harvested limes were measured from each plot. The results are given below. (Round answers to two decimal places.)Data: New Fertilizer Old Fertilizer 412 480 434 472 436 485 418 453 412 470 415 464 412 482 438 466 439 481 443 470 427 472 426 466 439 493 427 471 438 495 430 479 411 467 424 476 419 493 424 485 425 482 437 420 Find a 90% confidence interval for the difference between the mean weight of the harvested limes.margin of error: lower limit: upper limit: Based on the results, is the new fertilizer better than the old fertilizer? Yes, we are 90% confident that new fertilizer is better than old fertilizer. It's not clear if the new fertilizer is…In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Nineteen randomly selected plots of land were treated with a brand new fertilizer, and 27 randomly selected plots were treated with an old fertlizer. The number of pounds of harvested limes were measured from each plot. The results are given below. (Round answers to two decimal places.) New Fertilizer Old Fertilizer 486 435 468 423 491 425 470 440 458 423 476 409 456 425 463 443 493 402 501 437 483 420 475 420 456 416 470 435 463 421 473 445 479 422 460 424 467 412 435 427 413 407 420 430 426 430 Find a 90% confidence interval for the difference between the mean weight of the harvested limes.margin of error: lower limit: upper limit: Based on the results, is the new fertilizer better than the old fertilizer? A) Yes, we are 90% confident that new fertilizer is better than old fertilizer. B) No, we are 90%…Is the number of games won by a major league baseball team in a season related to the team's batting average? Data from 14 teams were collected and the summary statistics yield:∑Y= 1,134, ∑X = 3.642, Σ(Y−Yhat)2 = 1011.06, ∑(X−Xbar)2 = .00118, and ∑(X−Xbar)(Y−Ybar) = 295.54Estimate σ.
- In forestry, the diameter of a tree at breast height is used to model the height of the tree. Silviculturists working in British Columbia’s boreal forest conducted a series of spacing trials to predict the heights of several species of trees. The data are the breast height diameters (in centimeters) and heights (in meters) for a sample of 18 white spruce trees. B1 B2 18.9 20.0 15.5 16.8 19.4 20.2 20.0 20.0 29.8 20.2 19.8 18.0 20.3 17.8 20.0 19.2 22.0 22.3 16.6 18.8 15.5 16.9 13.7 16.3 27.5 21.4 20.3 19.2 22.9 19.8 14.1 18.5 10.1 12.1 5.8 8.0 B1: Breast Height Diameter of White spruce (cm) B2: Height (m) a) Plot the relationship using scatter diagram between the breast height diameters and the trees’ height. Are the breast height diameters and the trees’ height linearly related? What can you infer about the relationship between the two variables? Is a linear model appropriate? b) Compare the scatter plot in (a) with the correlation coefficient…The data below are for two different types of straw seed that were used on adjacent plots of land. The listed values are the yields of straw in cwt (100 lb, or hundredweight) per acre, and the yields are paired by the plot of land that they share. Complete parts (a) through (c). Type 1 Type 219.25 2523 23.7522.75 24.2522.75 28.2522.25 22.7519.5 19.7524.5 22.2515.5 1618 17.2514 1617 17.25 Using a 0.05 significance level, test the claim that there is no difference between the yields from the two types of seed. Let mu Subscript dμdbe the mean of the population of differences of type 1 minus type 2 and write the hypotheses. The null hypothesis is Upper H 0H0: Upper H 1H1: The test statistic is State the conclusion that addresses the original claim.A firm produces bolts whose length x is normally distributed with a Me = 78.3 mm and a SD = 1.4mm. If any bolt longer than 80mm has to be discarded, what proportion of the firm's production will be lost?
- The owner of a new car conducts a series of six gas mileage tests and obtains the following results, expressed in miles per gallon: 3., 22.7, 21.4, 20.6, and 21.4. 20.9. Find the mode for these data.An agent for a property management company would like to be able to predict the monthly rental cost for apartments based on the size of the apartment as defined by square footage. A sample of the rent of 25 apartments in a college rental neighborhood was selected, and the information collected revealed the following: Apartment Size (Sq. Ft.) Monthly Rent ($) 1 850 950 2 1,450 1,600 3 1,085 1,200 4 1,232 1,500 5 718 950 6 1,485 1,700 7 1,136 1,650 8 726 935 9 700 875 10 956 1,150 11 1,100 1,400 12 1,285 1,650 13 1,985 2,300 14 1,369 1,800 15 1,175 1,400 16 1,225 1,450 17 1,245 1,100 18 1,259 1,700 19 1,150 1,200 20 896 1,150 21 1,361 1,600 22 1,040 1,650 23 755 1,200 24 1,000 800 25 1,200 1,750 e) Determine the coefficient of determination r2 and then completely interpret…An agent for a property management company would like to be able to predict the monthly rental cost for apartments based on the size of the apartment as defined by square footage. A sample of the rent of 25 apartments in a college rental neighborhood was selected, and the information collected revealed the following: Apartment Size (Sq. Ft.) Monthly Rent ($) 1 850 950 2 1,450 1,600 3 1,085 1,200 4 1,232 1,500 5 718 950 6 1,485 1,700 7 1,136 1,650 8 726 935 9 700 875 10 956 1,150 11 1,100 1,400 12 1,285 1,650 13 1,985 2,300 14 1,369 1,800 15 1,175 1,400 16 1,225 1,450 17 1,245 1,100 18 1,259 1,700 19 1,150 1,200 20 896 1,150 21 1,361 1,600 22 1,040 1,650 23 755 1,200 24 1,000 800 25 1,200 1,750 i) Determine a 95% interval estimate for the average rent of apartments with 1000…
- In an agricultural experiment, the effects of two fertilizers on the production of limes were measured. Fourteen randomly selected plots of land were treated with a brand new fertilizer, and 18 randomly selected plots were treated with an old fertlizer. The number of pounds of harvested limes were measured from each plot. The results are given below. (Round answers to two decimal places.) New F. Old F. 498 429 485 428 469 427 481 421 472 412 475 419 488 431 468 436 460 415 469 428 475 417 471 437 476 437 470 420 416 426 427 419 Find a 99% confidence interval for the difference between the mean weight of the harvested limes.margin of error: lower limit: upper limit:In a given community, a survey was conducted to determine whether there is any relationship between the size of one’s yearly income x (in hundred thousands of pesos) and the size of one’s home y (in hundreds of square meters). The data were collected for 10 samples. x. Income 41.2 68.3 22.4 56.7 42.2 86.1 50.3 35.7 44.4 47.5 y, Home size 2.9 3.5 2.5 3.1 3.3 4 3.7 2.9 3 3.1 a.) Find the correlation coefficient r between income and home size b.) Determine the equation of the regression line of home size on c.) Determine the home size of a person with an annual income of Php 4,000,000.00The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below. Patient A B C D E F G H I J Age(X) in Years 20 25 50 30 45 60 10 15 35 70 BP(Y) in (mmHg) 80 85 125 90 100 135 80 70 100 140 NB: Approximate to 2 decimal placesUse the table to answer the questions that follow;i) Calculate the product moment correlation coefficient for the data and interpret your result.ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer. iii) Give a reason to support fitting…