1.The owner of Britten's Egg Farm wants toestimate the mean number of eggs laid perchicken. A sample of 20 chickens shows they laidan average of 20 eggs per month with a standarddeviation of 2 eggs per month. Develop the 95 percent confidenceinterval for the population mean.Would it be reasonable to conclude thatthe population mean is 21 eggs? Whatabout 25 eggs?

Answered: Image /qna-images/answer/1ea99b44-996b-4038-a49b-027d8a036525.jpg

Answered: 1. The owner of Britten's Egg Farm…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The University of Montana admission standards require students to have an ACT score of at least 22. We know that Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. A: Students in Oregon have a mean ACT score of 21.1 with a standard deviation of 2.8. If we chose one student each at random from Oregon and from Montana, which student would be more likely to meet the ACT requirements of the University of Montana? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. B: We know that the Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. Assume that the top 2% of individuals in the state are eligible for a state-funded scholarship. What score does an individual need on the ACT to be eligible? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 24 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. Around what percentage of adults in the USA have stage 2 high blood pressure? b. If you sampled 1000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. people c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?
3. The distribution of test scores in a class is unimodal and symmetric with a mean of 80 pts and a standard deviation of 7pts. Based on the information, Adam estimated that his score is higher than approximately 97.5% of the students in class. What score did Adam receive? Explain.
4. A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of weight loss is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with a 90% confidence.
2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
Suppose the durations of human pregnancies follow a mound-shaped distribution with a mean of 266 days and a standard deviation of 18 days. a. Approximately what percentage of human pregnancies last between 248 and 284 days? b. Between what two values will the durations of 95% of all human pregnancies fall? Answer in days
4. The variance of a data set is 3410.56. Find the standard deviation for the data set. This ample of
Q) The RATES of a SWEET BOX follows a normal distribution with a mean of $2.20 and a standard deviation of $0.20. Find the RATE for which 10.23% of sweet boxes are exceeded. Round your answer to nearest cent (hundredth) if necessary.

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1. The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 20 eggs per month with a standard deviation of 2 eggs per month.