Compute for the mean and median of the sample data. E. What is the range of the loaf bread weight? F. Calculate the variance of the sample weight.
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7. I am producing 400-gram loaf breads in one of my production lines and measured the
weights of 28 loaf breads from the same batch as shown in table below. (*see attached image for the table.)
D. Compute for the mean and median of the sample data.
E. What is the range of the loaf bread weight?
F. Calculate the variance of the sample weight.
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- A farm grows normally distributed potatoes and is testing a new crop. After 4 months, 20 plants produce potatoes with the following weights (in kg):7, 1.4, 1.4, 1.3, 0.3, 1.4, 0.6, 1.3, 1.3, 1.1, 0.9, 1.5, 1.1, 1.5, 0.6, 1.4, 1.1, 0.5, 0.6, 0.8 a) Find out the mean and standard deviation of the sample.3. After receiving complaints from McDonald’s customers in Japan about the amount of french fries being served, the on-line news magazine ”Rocket News” decided to test the actual weight of the fries served at a particular Japanese McDonald’s restaurant. According to the Rocket News article, the official weight standard set by McDonald’s of Japan is for a medium sized fries to weigh 135 grams. The publication weighed the fries from 36 different medium fries they purchased and found the average weight of the fries in their sample to be 130 grams with a variance of 225 grams. Research Question: Does the data suggest that the medium fries from this McDonald’s in Japan are underpacked? Use α =0.05. (a) Which of the following is the H0 ? (null) A.H0:μ ̸= 135 B.H0:x ̸= 135 C.H0:μ ≥ 130 D.H0:x ≥ 130 E.H0:μ ≤ 135 F.H0:x ≤ 135 G.H0:μ ≥ 135 H.H0:x ≥ 135 I. None of these Page 3 Hint: First read the problem and using my notes (or Hawkes) for 9.5, set up H0 and Ha . Then pick the right Ha…A Farm grows normally distributed potatoes and is testing a new crop. After 4 months, 20 plants produce potatoes with the following weights (in kg):7, 1.4, 1.4, 1.3, 0.3, 1.4, 0.6, 1.3, 1.3, 1.1, 0.9, 1.5, 1.1, 1.5, 0.6, 1.4, 1.1, 0.5, 0.6, 0.8 b) What percent of potatoes grown from this crop will be over 2 kg? Mean: 1.1 Standard deviation: 0.3883
- The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.A study was carried out to determine the influence of a trace elementfound in soil on the yield of potato plants grown in that soil, defined asthe weight of potatoes produced at the end of the season. A large fieldwas divided up into 14 smaller sections for this experiment. For eachsection, the experimenter recorded the amount of the trace elementfound (in milligrams per metre squared) and the corresponding weightof the potatoes produced (in kilograms). This information is presentedin the worksheet ‘Dataset5’ in the Excel document. Define X as thetrace element amount and Y as the yield.1. Draw a scatterplot of your data set.Page 52. Calculate the coefficients of a linear equation to predict the yieldY as a function of X.3. Calculate the correlation coefficient for the paired data values.4. Set up the framework for an appropriate statistical test to establish if there is a correlation between the amount of the trace element and the yield. Explain how having the scatterplot referredto…From September 1980 to August 1982, 50 premature infants were admitted to the Neonatal ICU of Lungsod ng Kabataan Children’s Hospital due to severe hyaline membrane disease. Data on the weights of these infants are shown below. Table X. Weights of Premature Infants with Severe Hyaline Membrane Disease Treated with Assisted Ventilation Weights in Grams Number of Patients 800-1000 1001-1200 1201-1400 1401-1600 1601-1800 1801-2000 2001-2200 2201-2400 3 4 6 5 5 8 9 10 Total 50 Find the following: Final Answer Interpretation Computation Mean Median Mode Range SD D6 P40 Q3
- Refer to the table to the right summarizing measured amounts of serum cotinine (ng/mL) from a sample of smokers. When nicotine is absorbed by the body, cotinine is produced. How many subjects are included in the summary? Is it possible to identify the exact values of all of the original cotinine measurements? Cotinine (ng/mL) 0-99 100-199 200-299 300-399 400-499 How many subjects are included in the summary? (Type a whole number.) Is it possible to identify the exact values of all of the original cotinine measurements? Frequency 10 14 15 3 2 OA. Yes. The exact data values are equally spaced numbers between the limits of each class. The number of equally spaced numbers is determined by the frequency in each class. OB. No. A frequency table only shows percentages of the sample in each category. OC. No. A frequency table only shows frequencies of data values in each category. OD. Yes. The data values are the frequencies shown in the table.2. A sample of pond water is evaluated for bacteria by counting the number of bacterial rRNA genes per milliliter. The counts (in billions/ml) are [2.54, 1.64, 0.87, 3.10, 2.78, 1.92, 2.36, 3.17, 2.45, 3.72]. You want to make estimates of the water for the entire pond. What fraction of the pond water would you estimate has above 3 billion/ml bacterial gene count? 3. Redo the above calculation, but assume it is lognormal instead of normal. Is there a reason to prefer the lognormal to the normal distribution for this case?The table below indicates the cost of certain air tel kiosk Z 0.15 0.20 0.25 0.75 0.80 0.85 1.85 1.90 1.95 2.00 2.05 Фz 0.0596 0.0793 0.0987 0.2734 0.2881 0.3023 0.4678 0.4713 0.4744 0.4772 0.4798 If it was stated that, the number of telephone calls received at a switchboard is approximately normal with a mean of 580 calls and a standard deviation of 10. REQUIRED Find the possibility that on a given day the number of calls received at the switchboard will be; Exactly 578 Less than 570 Between 561 and 600 inclusive
- 4 An engineer wants to compane the tensle sarengths of stel bars that are produced using a conventional method and an experimental method. (The tensle strength ofa metal is a measure of its ability to resist tearing when pulled lengtheise. To do sa, the engineer randomly selects steel bars that are manufactured usng each method and records the following tensle strengths (n newtons per square milimeter. Ata -0.10, can the engineer dam that the esperimental method produces steel with greater mean tensle strength? Should the engineer recommend using the experimental method? Assume the population variances are net equal( Experimental Method: 395 389 421 394 407 411 389 412 422 416 412 408 400 386 411 405 389 Conventional Method: 362 352 380 382 413 384 400 378 419 379 384 388 372 363The demand for hand sanitizers is off the charts due to this coronavirus outbreak. People are in desperate need of hand sanitizers. Therefore, FMCGs like Unilever Bangladesh Limited are producing this life-essential product in a bulk amount to help the citizens across Bangladesh to maintain the hygiene standards. Sales figures and profits for the stores are given in the following table. (For the Unit sales, pick any value in between 12-33Units in ascending order). Unit Sales, X Profit (Taka), Y ** 1200 ** 1650 ** 1950 ** 2300 ** 2700 ** 3600 ** 4100 Obtain a regression line for the data. Calculate the profit of a shop for 40 unit sales. Calculate the correlation between unit sales and profit. What is the coefficient of determination of these variables?QUESTION 2 5.42a: What assumption do you need to make, in order to make your answer appropriate and applicable Hint: L-11, p. 18 That the pickup schedule is random That the volumes are normally distributed None of the above That the population and sample standard deviations are equal