A population of values a normal distribution with mu = 123.8 and Standard deviation = 23.8 A random sample of size n = 34 is drawn What is the standard deviation of the distribution of sample means
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- Question Help ▼ A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 7 cars has a mean gas mileage of 20 mpg and a standard deviation of 3 mpg. At a= 0.025, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table Click here to view page 1 of the normal table Click here to view page 2 of the normal table Which sampling distribution should be used and why? O A. Use a t-sampling distribution because the population is normal, and o is unknown. O B. Use a t-sampling distribution because the population is normal, and o is known. C. Use a normal sampling distribution because the population is normal, and o is unknown. O D. Use a normal sampling distribution because n> 30 E. Use a t-sampling distribution because n 21 H, u#21 What is the value of the standardized test statistic? The standardized test statistic is…Please show full work for understanding thank youFINALS Exam D Munimuni - Sa'yo (Lyric Vide X urses/63035/assignments/1441620?module_item_id%3D2210251 Score: 6/50 9/39 answered Question 17 く The lengths of pregnancies in a small rural village are normally distributed with a mean of 258 days and a standard deviation of 14 days. In what range would we expect to find the middle 95% of most lengths of pregnancies? Between and days Check Answer
- The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 12. Suppose that 15 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X? X ~ N(___,___) What is the distribution of ¯x? x¯ ~ N(___,____) If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 65 and 66.8. ______ For the 15 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65 and 66.8. _______ For part d), is the assumption that the distribution is normal necessary? __Yes ___ NoSystolic blood pressure readings are normally distributed with a mean of 121 and standard deviation of 15. If a person from the population was selected at random, find the probability that their blood pressure is in the acceptable range (between 114 and 140) for an athletic activity. A. Label and shade the normal distribution curve to model this problem.Scores on the SAT exam approximate a normal distribution with a mean of 600 and a standard deviation of 80. Use the distribution to determine (z- score must be rounded to the two decimal places): The z-score for a SAT score of 470 The percent of SAT scores that fall above 750 The probability for a SAT score that fall below 800 The percentage of SAT scores that fall between 525 and 570
- Pls help ASAP ASAP.Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.13 m/h and 10% travel more than 73.25 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean 194.55 standard deviation 94.78 X X (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) 0.6576 X (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.Scores obtained by students in an advanced placement test has a symmetric mound shaped (bell shaped) distribution with a mean of 70 and a standard deviation of 10. What is the proportion of students who received between 60 and 80 points. not enough information about 68% about 99.7% about 95%
- The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 265 days and a standard deviation of 11 days. (a) What is the minimum pregnancy length that can be in the top 9%of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 3%of pregnancy lengths? (a) The minimum pregnancy length is ________ days.Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.This C The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the folowing (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 230 grams and 390 grams? (c) What percentage of organs weighs less than 230 grams or more than 390 grams? (d) What percentage of organs weighs between 270 grams and 430 grams? (a) and grams (Use ascending order.) (b)% (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to two decimal places as needed.) Enter your answer in each of the answer boxes. e Type here to search 近
