Example 12.32. Four jobs are to be done on four different machin es) of producing ith job on the jth machine is given below : Machines M₁ M₂ My M₁ J₁ 15 11 13 12 12 J.₂ 17 15 10 Jobs Jy 14 15. 13 14
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1a researcher collects a group of college students to determine the negative life events that they experienced in the past 5 years. For n=18 participants with 2 or fewer negative experiences, the average well being score is M=42 with SS=398, and for n=16 participants with 5 to 10 negative experiences the average well being score is M=48.6 with SS=370. A. Compute cohens d to measure the size of the effect.Question 3 A researcher is proposing that exercise makes a person moreenergized as a result they require less sleep. He carries out a surveyon the number of hours of exercise per week and the average hoursof sleep needed per night in order to feel well-rested. The results areshown below for the 8 participants.Hours of exercise/week 4 5.2 2 3.4 8 10 1.5 6Average hours of sleepneeded/night8.6 8.1 9 8.5 7.4 6.8 9.4 7.7�� Calculate and interpret the regression line for the data.
- Suppose your dependent variable is aggregate household demand for electricity for various cities. To correct for heteroskedasticity you should Select one: a. multiply observations by the square root of the city size b. multiply observations by the city size c. divide observations by the city size d. divide observations by the square root of the city size e. none of theseFor some genetic mutations, it is thought that the frequency of the mutant gene in men increases linearly with age. If m1 is the frequency at age t1, and m2 is the frequency at age t2, then the yearly rate of increase is estimated by r = (m2 − m1)/(t2 − t1). In a polymerase chain reaction assay, the frequency in 20-year-old men was estimated to be 17.7 ± 1.7 per μgDNA, and the frequency in 40-year-old men was estimated to be 35.9 ± 5.8 per μg DNA. Assume that age is measured with negligible uncertainty.a) Estimate the yearly rate of increase, and find the uncertainty in the estimate.b) Find the relative uncertainty in the estimated rate of increase.(14t) Auburn, Inc.‘s overhead costs of $700000 consist of machining $400000; inspecting $200000; and packaging $100000. Machining works 4000 hours a year, 500 inspections occur each year, and 1000 packing order occur each year. Information on the company’s two products are as follows: Alpha Omega Machining hours 1000 3000 Inspections 100 400 Packing orders 350 650 Direct labor hours 1700 1800 How much overhead is allocated to Alpha using a single overhead rate (based on direct labor hours) and assuming ABC, respectively? $340000 and $360000 $340000 and $175000 $360000 and $175000 $360000 and $525000
- Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?QUESTION 3 The Research Unit for Cecilion Supermart conducted an experiment to estimate the strength of thecarrier bag from the starch-based biofilms made from two different jicamas (sengkuang) of type Aand type B. However, the researcher claims that jicama type A produces more strength comparedto type B. To support this claim, 10kg weight item was put into 100 carrier bags made from jicamatype A and 200 carrier bags made from jicama type B were randomly selected. As a result, 8 bagsfrom jicama type A burst while 12 bags from jicama type B burst. Calculate a 95% confidenceinterval for the difference in true proportion of the carrier bags which burst between jicama type Aand type B. Give comment on the parameter estimate.Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
