Students in Alice’s course have lap times that have an approximately normal distributionwith mean 76 seconds and standard deviation of 4 seconds. Students in Bob’s coursehave lap times that have an approximately normal distribution with mean 74 secondsand standard deviation of 3 seconds. Assume lap times for all students are independent of one another. (a) Approximate the probability that the mean lap time in Alice’s class of size 36 students exceeds 77. (b) Compute the probability that a random student in Alice’s course has ahigher lap time than that of a random student in Bob’s course.
Students in Alice’s course have lap times that have an approximately normal distributionwith mean 76 seconds...
The reading speed of Ms. Alayeb's second grade students is approximately normal, with a mean 69 WPM and a standard deviation of 8 WPM. (Please round your answer to 4 decimal places ) a) What is the probability a randomly selected student will read more than 74 WPM? b)What is the probability that a random sample of 16 Ms. Alayeb's second grade students results in a mean reading rate of less than 65 WPM? c)What is the probability that a...
The scores on a statistics exam had an approximately normal distribution, with a mean of 73 and standard deviation of 7.2. If a single student is chosen at random, what is the probability their score is less than 74?
The times that college students spend studying per week have a distribution skewed to the right with a mean of 8.6 hours and a standard deviation of 2.8 hours. Find the probability that the mean time spent studying per week for a random sample of 16 college students would be more than 9.1 hours. Round your answer to two decimal places. Attach File Browse My Computer Browse Content Collection Browse Dropbox QUESTION 7 The GPAs of all students enrolled at...
QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.30. Find the probability that the mean GPA of a random sample of 49 students selected from this university is 2.75 or lower. Round your answer to four decimal places. Attach File
The 100-meter race times at a state track meet are normally distributed with a mean of 14.62 seconds and a standard deviation of 2.13 seconds. Using the Standard Normal Probabilities table, what is the approximate probability that a runner chosen at random will have a 100-meter time less than 15.5 seconds? 1. 0.1894 2. 0.3409 3. 0.6591 4. 0.7910
The daily demand for coffee in a coffee shop approximately has a normal distribution with mean 220 cups and standard deviation 40. Assuming that the demands in different days are independent, what is the probability that the average demand in the next five days exceeds 240? ( Hint: Sum of five independent normal variables have also a normal distribution N(220, 40^2 /5), standard deviation=sqrt(40^2 /5). Use pnorm )
The reading speed of second grade students is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (a) What is the probability a randomly selected student will read more than 95 words per minute? The probability is (Round to four decimal places as needed.) (b) What is the probability that a random sample of 11 second grade students results in a mean reading rate of more...
the reading speed of second grade students in a large city is approximately normal, with the mean of 89 words per minute (wpm) and a standard deviation of 10 wpm a.) what is the probability a randomly selected student in the city will read more than 94 words per minute? b.) what is the probability that a random sample of 11 second grade students from the city results in a mean reading rate of more than 94 words per minute?...
Consider the approximately normal population of heights male college students with mean = 74 invhes and standard deviation = 6.2 inches. A random sample of 10 heights is obtained. (b) Find the proportion of male college students whose height is greater than 74 inches (Give your answer correct to four decimal places.) X (c) Describe the distribution of x, the mean of samples of size 10. skewed right approximately normal skewed left chi-square (d) Find the mean of the x...
The reading speed of second grade students is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. There is a 5% chance that the mean reading speed of a random sample of 21 second grade students will exceed what value?