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In Exercises 25-36, find the value of
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- 8.5 detail the solution Use the hypothesis H0: p<= 0.1 vs Ha: P>0.1arrow_forwardApply Polya’s Strategy to solve the following problem. 1. How many children are there in a family wherein each girl has as many brothers as sisters, but each boy has twice as many sisters as brothers? Answer:arrow_forwardA researcher thinks that if expectant mothers use vitamins, the birth weight of the babies will increase. The average birth weight of the population is 3.9 kgs. What is the alternative hypothesis? a. Ha: ? > 3.9 b. Ha: ? < 3.9 c. Ha: ? = 3.9 d. Ha: ? ≠ 3.9arrow_forward
- Apply the pigeonhole principle to answer the following questions. If the pigeonhole principle cannot be applied, give a specific counterexample. 1. A team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. Is it necessarily true that two of the team members must have personal records that are within four inches of each other? 2. What if there are four jumpers? Note that here heights are measured to within a precision of 1/4 incharrow_forwardIn a classic study of problem solving, Duncker (1945) asked participants to mount a candle on a wall in an upright position so that it would burn normally. One group was given a candle, a book of matches, and a box of tacks. A second group was given the same items, except that the tacks and the box were presented separately as two distinct items. The solution to this problem involves using the tacks to mount the box on the wall, creating a shelf for the candle. Duncker reasoned that the first group of participants would have trouble seeing a new function for the box (a shelf) because it was already serving a function (holding tacks). For each participant, the amount of time to solve the problem was recorded. Data similar to Duncker’s are as follows. Time to Solve Problem (in sec.) Box of Tacks Tacks and Box Separate 128 42 160…arrow_forwardAn article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows: e = 23.2 ad = 16.9 cd = 23.8 bde = 16.8 ab = 15.5 bc = 16.2 ace = 23.4 abcde = 18.1 a. Verify that the design generators used were I = ACE and I = BDE. b. Write down the complete defining relation and the aliases for this design. c. Estimate the main effects.arrow_forward
- An article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows: e = 23.2 ad = 16.9 cd = 23.8 bde = 16.8 ab = 15.5 bc = 16.2 ace = 23.4 abcde = 18.1 Prepare an analysis of variance table. Assume all two-level and three-level interactions are negligible.arrow_forwarda. What is the general solution? b. What is the particular solution?arrow_forwardA meteorologist claims that the average high temperature for the month of August in Chicago, Illinois is 83 degrees. If the residents of Chicago do not believe this to be true. what hypothesis should they test? Let mu be the average high temperature for the month of August in Chicago. Group of answer choices H0: mu = 83 versus Ha: mu < 83 H0: mu = 83 versus Ha: mu > 83 H0: mu = 83 versus Ha: mu is not equal to 83arrow_forward
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