Using a TI 84 graphing calculator, Find the minimum sample size required in order to construct a 95% confidence interval about the population mean µ of 10 year old boys’ heights, where you want the error to be within 3 cm of the population mean. Several years ago, the population standard deviation was 8.7 cm. Be sure to show work as well as calculator commands used.

Using a TI 84 graphing calculator, Find the minimum sample size required in order to construct a 95% confidence interval about the population mean µ of 10 year old boys’ heights, where you want the error to be within 3 cm of the population mean. Several years ago, the population standard deviation was 8.7 cm. Be sure to show work as well as calculator commands used.

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...

See similar textbooks

Related questions

Q: From generation to generation, the mean age when smokers first start to smoke varies. However, the…

A: Solution

Q: simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation…

Q: st is designed so that the mean is 100 and the standard deviation is 16 for the population of…

A: The sample size can be calculated as: n=z×σE2 Here, z = desired confidence level E = The allowable…

Q: Suppose that the pulse rates of adult males vary from a low of 30 bpm to a high of 110 bpm. Assume…

A: pulse rates of adult males vary from Low =30 bpm High=110 bpm confidence level=95% Margin of…

Q: A physics lab instructor wants to estimate the time required for physic students to complete a…

A: Given that Standard deviation = 16 Margin of error = 5

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…

A: Givenstandard deviation(σ)=12Marign of error(E)=7c=99%α=1-0.99=0.01α2=0.005zα2=z0.005=2.5758 (from…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population…

Q: Noise levels at various area urban hospitals were measured in decibels. The mean noise level in 169…

A: Given, Noise levels at various area urban hospitals were measured in decibels. The noise level in…

Q: A 90% confidence interval for the population mean is (Use ascending order. Round to two decimal…

A: Let be the population mean number of months of work experience.Given that,Sample size Sample mean…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population…

Q: pose the mean of a given data set is 900.6 with a margin of error of 63.3. Write a confidence…

A: The confidence interval for the mean in the form of ± notation can be expressed as: CI = Sample mean…

Q: An iq test is designed so that the mean is 100 and the standard deviation is 15 for the…

Q: A group of 65 randomly selected students have a mean score of 30.6 with a standard deviation of 5.4…

Q: The president of a university wants to use the mean of a ma to estimate the average amount of time…

A: Given information Standard deviation σ = 1.40 Confidence interval = 0.99 Significance level(α) = 1-…

Q: The pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of 103 bpm.…

A: Given : The pulse rates of 179 randomly selected adult males vary from a low of 43 bpm to a high of…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population…

A: We want to find sample size (n)

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population…

A: State the given values, The z value at 99% confidence level is:

Q: You measure 28 turtle's weights, and find, they have a mean weight of 51 ounces. Assume the…

Q: The pulse rates of 177 randomly selected adult males vary from a low of 38 bpm to a high of 114…

A: Assume, X be the random variable representing the pulse rates (in bpm). n be the minimum sample…

Q: An 1Q test is designed so that the mean is 100 and the standard deviation is 21 for the population…

A: It is given that the confidence level is 0.95, the population standard deviation is 21, and the…

Q: An urn contains 5 yellow marbles and 4 blue marbles. One marble is removed, its color noted, and…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Find a 90% confidence interval for the population mean age of the Smurfs if a sample of 52 smurfs…

A: It is given that, There is a random sample of size 52 and has a mean of 49.7 and the standard…

Q: In a certain population, body weights are normally distributed with a mean of 152 pounds and a…

A: The number of people surveyed is 1271 and it is obtained below: Let us define the random variable X…

Q: A confidence interval for the difference in the number of friends that men and women have was found…

A: The formula of the midpoint of the confidence interval formula is,

Q: How large of a sample is required if we want to estimate the mean price of a five year old Corvette…

A: Obtain the critical value at 90% confidence level:It is given that the standard deviation value is…

Q: An IQ test is designed so that the mean is 100 and the standard deviation 13 is for the population…

A: The sample mean is within 7 IQ points of the true mean and population standard deviation is 13.…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 23 for the population…

Q: the lifetime of washing machines is estimated to be 900 hours, how large a sample must be taken in…

A: The formula to compute sample size is,

Q: An iq test is designed so that the mean is 100 and the standard deviation is 21 for the population…

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 23 for the population…

A: Given information- Population standard deviation, σ = 23 Confidence interval = 0.95 Significance…

Q: We want to estimate the mean number of pages per book in the fiction section of the large school…

A: Given: Sample size, n = 35 Mean = 291.8, SD = 47.6

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 2 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
Suppose we know that the mean score among the population of college students taking the GMAT test is 1000. If the population standard deviation is 1200, and we take a sample of size 100, then what percentage of possible sample means that could be drawn from this population will be less than 1300?
an IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. find the sample size necessary to estimate the mean IQ score of statistic students such that it can be said with 99% confidence that the sample mean is within 3 IQ points of the true mean. Assume that the standard deviation is 12 and determine the required sample size using technology. then determine if this is a reasonable sample size for a real world calculation
An IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The researcher took a random sample of 50 residents and found that the mean height of men is 175cm. Suppose that the team is made aware of the fact that the distribution of heights is distributed normally. 1, The sample median is an unbiased estimate of the mean height of men. Is the following statement about the estimator true? 2, Determine whether or not the median or mean is an efficient estimator of the population median.
An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 8 IQ points of the true mean. Assume tha σ=24 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.The required sample size is enter your response here. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. No.This number of IQ test scores is a fairly large number.
An IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 7 IQ points of the true mean. Assume that σ=14 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
A researcher wants to make a 95% confidence interval for the population mean. She wants the maximum error of estimate to be within 4.8 of the population mean. The population standard deviation is 18.65. What would be the sample size the yield a maximum error of estimate within 4.8 of the population mean?
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 7.8 reproductions and the population standard deviation is known to be 2.2 If a sample of 697 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place