An unknown distribution has a mean of 90 and a standard deviation of 15. A sample of size 80 is drawn randomly from the population. a. Find the probability that the sum of the 80 values (or the total of the 80 values) is more than 7,500. b. Find the sum that is 1.5 standard deviations above the mean of the sums.
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- A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 81 and 9 respectively. The standard error of the mean (i.e. the standard error of the sampling distribution) is 8.10 0.90 O 0.81 O 0.27 Clear my choiceMotorcycles. The number of motorcyclists killed in motor vehicle traffic crashes in the U.S. in a 7 year span is below. Round your answers to 1 decimal place. 4848 4946 4688 5097 4769 4816 4907 a. Find the mean. deathsb. Find the standard deviation. deathsA normal distribution has a mean of 105 and a standard deviation of 10. Find the probability that a value selected at random is in the following interval. at most 125 The probability that a value selected at random is in the given interval is%. (Type an integer or a decimal.) D
- A scientist found that the lengths of a certain population of snakes can be reasonably described using a normal distribution with a mean of 42 cm and a standard deviation of 2 cm. If the scientist collected a sample of 89 snakes, how many of the snakes would be expected to have a length less than 40 cm? A 14 30 C 60 D 7412A normal population has a mean of 61 and a standard deviation of 22. You select a random sample of 35. Use Appendix. for the values Compute the probability that the sample mean is (Round the final answers to 4 decimal places.) a. Greater than 64 Probability b. Less than 57. Probability c. Between 57 and 64. Probability
- ← A study considers if the mean score on a college entrance exam for students in 2005 is any different from the mean score of 499 for students who took the same exam in 1975. Let u represent the mean score for all students who took the exam in 2005. For a random sample of 40,000 students who took the exam in 2005, x = 497 and s= 100. Use this information to complete parts a through c below. a. Find the test statistic. t = -4 (Round to two decimal places as needed.) b. Find the P-value for testing Ho: μ = 499 against H₂: μ#499. (Round to three decimal places as needed.) The P-value is ...A population has a mean of and standard deviation of 12. A sample of 36 observations will be taken . The probability tha the sample mean will be between 80.54 and 88.9 is A 0.7200 O B 0.0347 C 0.9511 D 8.3600Q3.a. Find out the variance of first n natural numbers. b. The arithmetic mean of two non-negative numbers is 5. Find out its standard deviation?
- .Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The monthly rents for studio apartments in a certain city have a mean of $1,040 and a standard deviation of $200. Random samples of size 60 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. OA. $134.26, $200.00 ry OB. $134.26, $25.82 OC. $1,040.00, $3.33 ns OD. $1,040.00, $25.82 15 2 4+ to 144 A41 Insert prt so → ( P 2 @ 2 W S X 3 E D 14101 $ C 4 R F % 5 T 40 6 G V B Y 4- & H 7 U N 00 8 J 1 M 9 K ► 11 ) O O L { alt + [ ? = 1 1 backs81. According to a recent Pew Research poll, 75% of millennials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millennials you ask until you find a person without a profile on a social networking site. a. Describe the distribution of X. b. Find the (i) mean and (ii) standard deviation of X. c. What is the probability that you must ask ten people to find one person without a social networking site? d. What is the probability that you must ask 20 people to find one person without a social networking site? e. What is the probability that you must ask at most five people?