4. 68% of students at school weigh between 52kg and 80kg. Assuming this data is normally...
99.7% of students in a class of 100 weigh between 60 kg and 96 kg. Assuming the data is normally distributed, what are the mean and the standard deviation? A. µ = 78kg; σ = 18kg B. µ = 78kg; σ = 9kg C. µ = 78kg; σ = 18kg D. µ = 78kg; σ = 6kg
4. National SAT (Scholastic Aptitude Test) scores for high school students in the U.S.A. are normally distributed with a mean of 500 and a standard deviation of 116. What is the percentage of students that score (a) above 700? (C) between 650 and 800? (b) under 400? (d) within 50 of the mean?
Assuming that the heights of college women are normally distributed with mean 68 inches and standard deviation 2.3 inches, answer the following questions. (Hint: Use the figure below with mean μ and standard deviation σ.) (a) What percentage of women are taller than 68 inches? % (b) What percentage of women are shorter than 68 inches? % (c) What percentage of women are between 65.7 inches and 70.3 inches? % (d) What percentage of women are between 63.4 and 72.6...
2. Assuming that the weights of newborn babies at a certain hospital are normally distributed with mean 6.7 pounds and standard deviation 1.2. Use this information to label the graph and answer the following questions. 68% of the babies will weigh between pounds. 95% of the babies will weigh between pounds. Almost all babies will weigh between pounds. How many babies in a group of 80 from this hospital are expected to weigh more than 7.9 pounds?
It is known that IQ of students at a certain elementary school is normally distributed with mean μ = 100 and standard deviation σ = 16. Calculate the probability that in a random sample of n = 4 students the observed sample mean is within 10 units of the true population mean. Answer to four decimal places.
Q5- (5marks) K is normally distributed with a mean of 80 and a 6) The weigh of students in AURA standard deviation of 7. If one students is selcted randomly a- What is the probability of student wight is more than 90 b- What is the probabilit of student wight is between 73 and 87
(Please include the formulas you used to solve)
17.95% of students in a class of 100 weigh between 62 kg and 90 kg. Assuming the data is normally distributed, what are the mean and the standard deviation?
(4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sample of thirty- six students is taken from the entire population of 500 students. The mean test score for the sample is three hundred eighty. Find (a) 95% confidence interval for the unknown population mean test score. (b) 95% confidence interval for the unknown population mean test score if...
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1541 and a standard deviation of 301. The local college includes a minimum score of 789 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 789) = %
The graduating averages of high school students in Boston are normally distributed with a mean of 79 and a standard deviation of 14. A random sample of 25 students from one of the schools has a mean of 85. Use a two-tailed test at (letter alpha)α=.01 to test the hypothesis that students from this school are at par with the city average.