Exercise 11 In each problem, underline the population standard deviation/sample standard deviation and circle the number of samples. 1. A sample of 160 people has a mean age of 27 with a population standard deviation (0) of 5. Test the hypothesis that the population mean is 26.7 at a=0.05. mothod that will be considered accentable if the lamns produced by this

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Exercise 11
In each problem, ünderline the population standard deviation/sample standard deviation and circle the number of samples.
1. A sample of 160 people has a mean age of 27 with a population standard deviation (o) of 5. Test the hypothesis that the population
mean is 26.7 at a=0.05.
2. An electric lamps manufacturer is testing a new production method that will be considered acceptable if the lamps produced by this
method result in a normal population with an average life of 1,300 hours and a standard deviation equal to 120. A sample of 100 lamps
produced by this method has an average life of 1,250 hours.
3. The cholesterol levels in a certain population have mean of 210 and standard deviation 21. The cholesterol levels for a random
sample of 9 individuals are measured and the sample mean x is determined. What is the z-score for a sample mean x=180?
4. Mabunga Elementary School has 1,000 students. The principal of the school thinks that the average IQ of students at Mabunga is at
least 110. To prove her point, she administers an !Q test to 20 randomly selected
5. A new energy-efficient lawn mower engine was developed by a well-known inventor. He claims that the engine will run continuously
for 5 hours on a single gallon of regular gasoline. From his stock of 2,000 engines, the inventor selects a simple random sample of 50
engines for testing. The engines run for an average of 295 minutes with a standard deviation of 20 minutes.
Transcribed Image Text:Exercise 11 In each problem, ünderline the population standard deviation/sample standard deviation and circle the number of samples. 1. A sample of 160 people has a mean age of 27 with a population standard deviation (o) of 5. Test the hypothesis that the population mean is 26.7 at a=0.05. 2. An electric lamps manufacturer is testing a new production method that will be considered acceptable if the lamps produced by this method result in a normal population with an average life of 1,300 hours and a standard deviation equal to 120. A sample of 100 lamps produced by this method has an average life of 1,250 hours. 3. The cholesterol levels in a certain population have mean of 210 and standard deviation 21. The cholesterol levels for a random sample of 9 individuals are measured and the sample mean x is determined. What is the z-score for a sample mean x=180? 4. Mabunga Elementary School has 1,000 students. The principal of the school thinks that the average IQ of students at Mabunga is at least 110. To prove her point, she administers an !Q test to 20 randomly selected 5. A new energy-efficient lawn mower engine was developed by a well-known inventor. He claims that the engine will run continuously for 5 hours on a single gallon of regular gasoline. From his stock of 2,000 engines, the inventor selects a simple random sample of 50 engines for testing. The engines run for an average of 295 minutes with a standard deviation of 20 minutes.
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