MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A light bulb manufacturer guarantees that the
hours. A random sample of 29 light bulbs has a mean life of 750 hours. Assume the population is
do you have enough evidence to reject the manufacturer's claim?
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- A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 46.7 milligrams. Assume the population is normally distributed and the population standard deviation is 7.7 milligrams. At α=0.05, can you reject the company's claim? Complete parts (a) through (f). (a) Identify H0 and Ha. (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. c) Identify the rejection region(s). Choose the correct answer below. d) Find the standardized test statistic. e) Decide whether to reject or fail to reject the null hypothesis. f) Interpret the decision in the context of the original claim.arrow_forwardA company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 33.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α=0.05, can you reject the company's claim? -Identify Ho and Ha. -Find the critical value and sketch the region -Calculate the test statistic -Do you reject Ho or fail to reject Haarrow_forwardA company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 35.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.9 milligrams. At α=0.05, can you reject the company's claim? Complete parts (a) through (e). Part 1(a) Identify H0 and Ha. Choose the correct answer below. A.) H0:μ≥35.4 Ha:μ<35.4 B.) H0:μ≠35 Ha:μ=35 C.) H0:μ=35 Ha:μ≠35 D.) H0: μ≥35 Ha: μ<35 E.) H0: μ≠35.4 Ha:μ=35.4 F.) H0: μ=35.4 Ha:μ≠ 35.4 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (c) Find the standardized test statistic. z= (d) Decide whether to reject or fail to reject…arrow_forward
- 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 σ=16.51 years. A randomly selected sample of 100 Hawaiians show an average life expectancy x̅=82.52 years. Is Hawaiians’ average life expectancy significantly different from 78.62, assuming α=0.01?arrow_forwardTo compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.arrow_forwardTo compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 41 feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 42 feet. Assume the population standard deviation is 4.4 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A.The mean braking distance is different for the two makes of automobiles. This is the correct answer. B.The mean braking distance is the same for the two makes of automobiles. C.The mean braking distance is less for Make A automobiles than Make B automobiles. Your answer is…arrow_forward
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- Many people believe that the average number of Facebook friends is 328. The population standard deviation is 32.2. A random sample of 60 high school students in a particular county revealed that the average number of Facebook friends was 340. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 328?arrow_forwardA company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 38.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify H0 and Ha. Choose the correct answer below. A. H0: μ=40 Ha: μ≠40 B. H0: μ=38.9 Ha: μ≠38.9 C. H0: μ≠40 Ha: μ=40 D. H0: μ≤40 Ha: μ>40 E. H0: μ≤38.9 Ha: μ>38.9 F. H0: μ≠38.9 Ha: μ=arrow_forwardAssume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?arrow_forward
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