Answered: 1. ACT composite scores are normally distributed with u=21.0 and o=5.4. A sample of nine students is randomly selected. What is the probability that the sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Transcribed Image Text:1. ACT composite scores are normally distributed with u=21.0 and o=5.4. A sample of nine students is randomly selected. What is the probability that the sample mean is greater than 25? 2. ACT composite scores are normally distributed with p=21.0 and o=5.4. A sample of nine students is randomly selected. What is the probability that the sample mean is less than 25? 3. The total cholesterol levels for women aged 20 to 30 years are normally distributed with p=190 mg/dl and o=40 mg/dl. A sample of 25 women in this age- group is randomly selected. What range of cholesterol series is expected for the middle 95% of all sample means? 4. The total cholesterol levels for women aged 20 to 30 years are normally distributed with p=190 mg/dl and o=40 mg/dl. A sample of 25 women in this age- group is randomly selected. What range of cholesterol series is expected for the middle 99% of all sample means? 5. Hawaiians are known to have an active lifestyle, enjoying the fresh air and natural beauty the islands have to offer. The life expectancy of the US population across all 50 states is µ=78.62 years with a standard deviation o=16.51 years. A randomly selected sample of 100 Hawaiians show an average life expectancy X=82.52 years. Is Hawaiians' average life expectancy significantly different from 78.62, assuming a=0.01? 6. A standardized IQ test is known to be normally distributed and has µ=100 and o=10. there is a common belief that students in wealthier school districts tend to have higher IQ scores. A researcher randomly selects a sample of 25 students from wealthy school districts. The average IQ of the sample is x =103. Conduct a test if the average score for students from wealthy districts is higher than 100, assuming a=0.05. 7. According to the ACT Profile Report-National, the ACT composite scores are normally distributed with p=21.0 and o=5.4. Many charter schools receive funding from the state government without providing accountability measures as required by the public schools. A sample of 36 high school seniors is randomly selected from charter schools. Their average ACT composite score is 19.8. Is the average ACT composite score of seniors from charter schools lower than 21.0 assuming a=0.05? ICA 17716

Transcribed Image Text:8. According to the ACT Profile Report-National, the ACT composite scores are normally distributed with p=21.0 and o=5.4. Many charter schools receive funding from the state government without providing accountability measures as required by the public schools. A sample of 36 high school seniors is randomly selected from charter schools. Their average ACT composite score is 19.8. Is the average ACT composite score of seniors from charter schools higher than 21.0 assuming a=0.05? 9. Assume that the heights of a population of adults form a normal distribution with a mean p =69 inches and a standard deviation o =6 inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village more than 69 inches, assuming a=0.05? 10. Assume that the heights of a population of adults form a normal distribution with a meanµ =69 inches and a standard deviation o =6 inches. A village is known to have tall people. A researcher randomly selects a group of 25 people from this village, and their average height is 5 feet 11 inches. Is the average height of people from this village is different than 69 inches, assuming a=0.05? 11. A car manufacturer claims that a new model QX has an average fuel efficiency p =35 miles per gallon on the highway, and a standard deviation o=5. The American Automobile Association randomly selects 16 new QXs and measures their fuel efficiency at 33 miles per gallon. Is the car manufacturer truthful in advertising QX's fuel efficiency as being 35 miles per gallon, assuming =0.05?

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