Cintas has installed three smoke detectors in its stockroom. The installer asserts that each detector is 90% likely to detect a fire within 30 seconds of ignition. Assuming the three detectors function independently, how likely is it that a fire will be detected within 30 seconds?
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Cintas has installed three smoke detectors in its stockroom. The installer asserts that each detector is 90% likely to detect a fire within 30 seconds of ignition. Assuming the three detectors
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Pair Control plot Treated plot Treated - Control 9.782 10.647 0.865 2 7.283 9.254 1.971 3 5.712 8.695 2.983 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и ? : Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO2 will do to the growth…The concentration of carbon dioxide (COy) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use COz to fuel photosynthesis, more COz may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra COz. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percentage increase per year. Here are one year's data Pair 1 2 3 Control Plot 9.752 7.263 5.742 Treated Plot 10.587 9.244 8.675 Treated - Control 0.835 1.981 2.933 State the null and alternative hypotheses. Explain clearly why the investigators used a onesided alternative. Use at procedure to carry out a test and report your conclusion in simple language. The investigators used the test you just carried out.Any use of the…
- The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO, may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO,. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Control plot - Control Treated plot 10.547 Pair Treated 9.732 0.815 7.273 9.244 1.971 5.762 8.675 2.913 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO, will do to the growth rate.…One doctor claims that a person's diastolic blood pressure can be lowered if, instead of taking medicine, the person listens to a relaxation tape every night. Ten subjects are selected at random. Your blood pressure, measured in millimeters of mercury, is listed below. All 10 patients are given the tapes and asked to listen to them every night for a month. At the end of the month, their blood pressure is taken again. The data is listed below. Use alpha equals 0.05 to test the doctor's claim.An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. Company A makes 80% of the ELTs, Company B makes 15% of them and Company C makes the other 5%. The ELTs made by Company A have a 7.8% rate of defects, the Company B ELTs have a 6.3% rate of defects and the Company C ELTs have 6.4% rate of defects. If a randomly selected ELT is tested and found to be defective, find is the probability that it was made by Company A? Give your answer to three decimal places.
- A clinician interested in agoraphobia (fear of public places) tests a new treatment method. She samples five agoraphobics from her clinic and has them report how many times they ventured out of their houses (on their own) in the past month. They then received relaxation training and were introduced to trips away from their homes at gradually increasing durations. After 2 months, subjects again reported how many times they ventured (on their own) out of their houses. The data are below. Assess whether there is a significant change in trips outside the home from before to after therapy. a. What are the null and alternative hypotheses? b. What inferential test did you use? Using an alpha level of .05, determine whether the sample was significantly different from population.Classify the experiments according to their experimental designs. Some designs may be used more than once.A clinician interested in agoraphobia (fear of public places) tests a new treatment method. She samples five agoraphobics from her clinic and has them report how many times they ventured out of their houses (on their own) in the past month. They then received relaxation training and were introduced to trips away from their homes at gradually increasing durations. After 2 months, subjects again reported how many times they ventured (on their own) out of their houses. The data are below. Assess whether there is a significant change in trips outside the home from before to after therapy. a. Report and interpret an effect size b. what type of error might you be making?
- In an effort to link cold environments with hypertension in humans, a preliminary experiment was conducted to investigate the effect of cold on hypertension in rats. Two random samples of 6 rats each were exposed to different environments. One sample of rats was held in a normal environment at 26°C. The other sample was held in a cold 5°C environment. Blood pressures and heart rates were measured for rats for both groups. The blood pressures for the 12 rats are shown in the table below. a. Provide a 95% confidence interval on the difference in the two population meansb. Do the data provide sufficient evidence that rats exposed to a 5°C environment have a higher mean blood pressure than rats exposed to a 26°C environment? Use α = 0.05The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years. The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer. The amount of damage to the computer depends on the strength of the surge. It has been estimated that there is a 1% chance of incurring 300 dollar damage, 4% chance of incurring 100 dollar damage, and 15% chance of incurring 150 dollar damage from a surge within the next two years. An inexpensive suppressor, which would provide protection for only one surge, can be purchased. How much should the owner be willing to pay if she makes decisions on the basis of expected value? Expected value =