šŸ·ļø LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION ā†’
Log in
HomeStudy Guides420,000US230,000

STATS 401 Study Guide - Midterm Guide: Independent And Identically Distributed Random Variables, Random Variable

43 views1 pages
turquoisegnu128
15 Oct 2018
School
U of M
Department
Statistics
Course
STATS 401
Professor
Shyamala Nagaraj

For unlimited access to Study Guides, a Grade+ subscription is required.

Document Summary

Practice problems for exam 1: suppose we observe an iid sample z1, . , z50 from a population with mean 5 and standard deviation 3. What is the probability that z > 5. 5: suppose we observe an iid sample z1, . , zn from a population with mean 0 and standard deviation 1. What sample size should be used so that the probability that. Z > 1 is less than 1/50: suppose we observe an iid sample z1, . , z20 from a normal population with mean 0 and standard deviation . What is the value of such that the probability of z < 1 is 1/3: suppose we observe x1, . Then suppose we observe two additional points x28 = 3 and x29 = 9. What is the sample mean of x1, . Express your answer in the simplest possible terms as a function of x: suppose we observe x1, .

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers

Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related Documents

STATS 401
Final Exam
Study Guide
STATS 401 Study Guide - Midterm Guide: Null Hypothesis, Standard Deviation, Test Statistic
turquoisegnu128
STATS 401
Final Exam
Study Guide
STATS 401 Study Guide - Midterm Guide: Interpolation, Normal Distribution, Order Statistic
turquoisegnu128
STATS 401
Final Exam
Study Guide
STATS 401 Study Guide - Midterm Guide: Scatter Plot, Standard Deviation
turquoisegnu128

Related Questions

1. In its standardized form, the normal distributionĀ 

(a) has a mean of 0 and a standard deviation of 1.

(b) has a mean of 1 and a variance of 0.

(c) has an area equal to 0.5.

(d) cannot be used to approximate discrete probability distributions.

Ā 

2. For some positive value of Z, the probability that a standard normal variable is between 0 and Z is 0.3770.

The value of Z is

(a) 0.18

(b) 0.81

(c) 1.16

(d) 1.47

Ā 

3. For some value of z, the probability that a standard normal variable is below z is 0.2090. The value of Z isĀ 

(a) -0.81

(b) -0.31

(c) 0.31

(d) 1.96

Ā 

4. For some positive value of X, the probability that a standard normal variable is between 0 and +2x is 0.1255.

The value of X isĀ 

(a)Ā  0.99

(b) 0.40

(c) 0.32

(d) 0.16

Ā 

5. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 35. minutes and a standard deviation of minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

(a) 0.3551

(b) 0.3085

(c) 0.2674

(d) 0.1915Ā 

A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and is used to estimate Āµ.
Ā 
(a) What is the probability that the sample mean will be within +/- 5 of the population mean (to 4 decimals)?
(b) What is the probability that the sample mean will be within +/- 10 of the population mean (to 4 decimals)?

(1) Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 1200 people has a mean IQ of less than 99?

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 150 people has a mean IQ between 102 and 103?

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 100 people has a mean IQ of more than 104?