The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s = 0.42. Construct a 95% two-sided confidence interval for o. Assume population is approximately normally distributed. Round your answers to 4 decimal places.
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- The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. b. What is the median giraffe height? ? ft. c. What is the Z-score for a giraffe that is 18.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 16.9 feet tall?Suppose that the average number of Facebook friends users have is normally distributed with a mean of 145 and a standard deviation of about 57. Assume forty-nine individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. Find the first quartile for the average number of Facebook friends.Scores on a standardized exam are known to follow a normal distribution. A researcher estimates that the mean score of the exam to be between 151.85 and 154.15, with a 98% confidence interval. What is the margin of error?
- Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. H: u = 24 not claim Η: μ 24 claim The hypothesis test is a one-tailed test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 22.5. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the P-value method with a graphing calculator. Part: 0 / 4 Part 1 of 4 (a) State the hypotheses and identify the claim. H,: (Choose one) ▼ OThe distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inchesDylan has collected 20 quarters and wants to compare the age of each coin to the age of all coins in the US. Select all the reasons why a z-test should not be used. Choose all that apply: 1. The sample standard deviation cannot be calculated 2. The sample size is >10 3. We do not have the population standard deviation 4. The sample size is <30 5. The population is <500The National Center for Education Statistics surveyed 4400 college graduates about the lengths of time required to earn their bachelor's degrees. The mean is 5.15 years, and the standard deviation is 1.68 years. Based enthuse sample data, construct the 99% confidence interval for the mean time required by all college graduates. left left: right:Daily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) OeBook The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.87. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $.24 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. Round up to the next whole number. a. The desired margin of error is $.09. The appropriate sample size is b. The desired margin of error is $.06. The appropriate sample size is c. The desired margin of error is $.05. The appropriate sample size isSuppose that the average number of Facebook friends users have is normally distributed with a mean of 136 and a standard deviation of about 45. Assume forty-two individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. Find the third quartile for the average number of Facebook friendsPlease SHOW ALL WORK and ensure the ANSWER is CORRECT. Thank you!SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. 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