11. A recent study showed that the average length of a baby alligator was 19 centimeters with a standarddeviation of 3 centimeters.(a) Eind the probability that the mean of a randomly selected sample of 10 baby alligators will be less than 18centimeters.(b) Based on the probability, would the given sample mean be considered unusual? Why?

Let X be the random variable from normal distribution with mean (μ) = 19 standard deviation (σ) = 3…

Answered: 11. A recent study showed that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Carson's tablet has 2,000 videos. The play time for the videos is skewed to the right, with a mean of 135 seconds and a standard deviation of 25 seconds. Part A: Can you accurately calculate the probability that the mean play time is more than 142 seconds for an SRS of 10 videos? Explain. Part B: If you take a random sample of 50 videos instead of 10, explain how the Central Limit Theorem allows you to find the probability that the mean play time is more than 142 seconds. Calculate this probability and show your work.
A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a sample of size 49 is selected what is the probability that the sample mean will be less than 73 or greater than 97?
To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. A 95% confidence interval for the mean score of actuarial students in the special program is from ________ to ________. Question 17 options: 1) 3.52 to 8.47 2) 4.69 to 7.31 3) 4.66 to 7.34 4) 4.33 to 7.67
An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of sample mean printing speed change? O A. It will decrease by a factor of 4. OB. It will increase by a factor of 4. O C. It will increase by a factor of 2. O D. It will decrease by a factor of 2. OE. It will remain unchanged. Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean printing speed change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of 4 O C. It will increase by a factor of 4. O D. It will increase by a factor of 2. OE. It will remain unchanged. Part iii) Consider the statement: 'The distribution of the mean…
The distribution of scores for the final exam in Math class last year had a Normal distribution with a mean of 74 and a standard deviation of 14. A random sample of 49 exam papers is selected. What is the probability that the sample mean is lower than 77?
An instructor gives a test to a class containing several hundred students. It is known that the standard deviation of the scores is 14 points. A random sample of 49 scores is obtained. a. What is the probability that the average score of the students in the sample will differ from the overall average by more than 2 points? b. What is the probability that the average score of the students in the sample will be within 3 points of the overall average?
What is the probability that 46 cars chosen at random will have a mean load weight x of less than 85.5 tons of coal if the mean is 86 and standard deviation 1.4
An Intelligence test score for adults is normally distributed with a mean of 100 and population standard deviation of 15. What is the probability we could select a sample of 64 adults and find that the mean of this sample is between 98 and 103? (answer rounded to 2d.ps)
11. If the scores for an IQ Test have a mean of 100 and a standard deviation of 15, find the probability of a student having an IQ score that will fall below 112.
The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing a dog that weighs the sum of mean+ standard deviation?, wouldnt the probability be O since you cannot find a small dog exactly at one point?
The mean of the test is 89 with a standard deviation of only 4. How likely (what probability) is there that a student scored a perfect score of 100 or better?
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