Now change the 'Normal' choice to 'Exponential' This changes the underlying population from onethat has a normal distribution to one that is very not normal. Change the sample size to 5 and runsamples.a. How well do the 95% confidence intervals do at capturing the true population mean when samplessizes are small?b. Now change the sample size to 40 and run samples. Does a larger sample size mean that the intervalsare more likely to capture the true population value? Why? Note THIS is an important concept andrelates back to the Sampling Distribution of Sample Means and how the SDSM changes as sample sizeincreases when the population is not normal.

Given Sample Size=5 Find a and b parts

Answered: Now change the 'Normal' choice to…

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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A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal, with mean of 21.9 and standard deviation of 5.8. SAT scores are reported on a scale from 400 to 1600. The distribution of SAT scores is approximately Normal, with mean of 1,059 and standard deviation of 203. What ACT scores make up the top 10% of all the scores? Round to the nearest whole number.
Assume that the heights of women are normally distributed with a mean of 63 inches and a standard deviation of 1.4 inches. Find Qa, the third quartile that separates the bottom 75% from the top 25%. Click to view page 1 of the table. Click to view page 2 of the table. O A. 62.1 B. 63.9 O C. 64.6 O D. 64.8
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. How to get and what is the bone density score corresponding to P15 is ?
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%. Which graph represents P9? Choose the correct graph below.
Select all true statements below (Multiple or none can be true). With a large, representative sample, the histogram of the sample data will follow the normal curve closely. If two lists of numbers have exactly the same average of 50 and SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists. Half of a list of numbers is always below its average. The median and average of a list of numbers are not necessarily close together.
A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)
A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. For the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. For the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. Which is this person’s stronger ability: verbal or quantitative? Explain your answer to a person who has never had a course in statistics.
To celebrate the end of final exams you and friends head to a favorite downtown restaurant. You find a street parking spot with a maximum of two hours. If you stay longer than two hours, you risk having your car towed away. No one has a watch or cellphone but you remember that the average time you spent at the same restaurant over your previous 16 visits is 1.5 hours, and you estimate the sample standard deviation to be about 20 minutes. You also need to factor in that it takes 8 minutes to walk to the restaurant and 8 minutes to walk back to your car (you are very certain about these two durations). (a) One of your friends is really worried that you won’t get back to the car in time and so the car might be towed away! Does your friend have good reason to be worried? Test at a 5% significance level whether the mean total time will be less than two hours. (b) You decide to leave the car parked at the street spot but it gets towed. What type of error have you committed?
You determine that the standard deviation for a sample of test scores is 0. This tells you that 1 all the test scores must be 0. 2 all the test scores must be the same value. 3 there is no straight-line association. 4 the mean test score must also be 0. 5 you made a mistake because the standard deviation can never be 0.
Let the number of cars passing through an intersection be modeled by a Poisson random variable. During 1 day, on average, 200 cars pass through the intersection. a) For a given 1 day time period, what is the probability that at least 225 cars pass through the intersection? (Accuracy to 2 decimal places is required. Answer as a decimal and not percentage.) b) Now consider a given 7 day time period. What is the probability that less than or equal to 1370 cars pass through the intersection? Accuracy to 3 decimal places is required. Answer as a decimal and not percentage.
ANSWER MUST BE IN WHOLE NUMBER 1. Young researchers wants to estimate the average numbers of students spending their time on watching movies. The standard deviation from a previous study is 4 hours. How large a sample must be selected if they want to be: a. 95% confidence from the sample mean by 3.5 hours? b. 99% confidence from the sample mean by 2.5 hours? c. 99% confidence from the sample mean by 3.5 hours?

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