Ask Question, Ask an Expert


Ask Statistics and Probability Expert

Since vending machine use mass and size to differentiate between authentic and counterfeit coins, it is significant that coins be minted to close tolerances and that coins in circulation don't suffer significant changes in mass or size.

A thrifty chemistry instructor who is not reluctant to pick up a penny found on the street weighs 8 coins presumed to be pennies and recorded the given masses in gram: 2.5139, 3.1119, 2.5236, 2.4935, 2.5184, 2.4873, 2.5357 and 2.4948.

1) Before you proceed with the given calculations, examine the dataset. Should any data be rejected? Illustrate.

2) Estimate the average mass of a penny in circulation.

3) A parameter, in this case the average mass, is useless without an estimate of its uncertainty. Though we are only dealing with cents, it still makes sense to compute the given quantities: the standard deviation (standard deviation of a single measurement), the 95% confidence interval of a single measurement, the standard deviation of the mean and the 95% confidence interval of the mean. Report the mean with its 95% confidence interval to the correct number of significant digits.

4) Two coins are weighed. Coin A weighs 2.5307 g and coin B, 2.4210 g. Could either coin be a penny? Illustrate.

5) Assume that pennies were used as weights for balances. What would be the precision of the measurement of mass in this case?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M93214

Have any Question? 

Related Questions in Statistics and Probability

Statistics for premasters fall 2015 assignment - basic

Statistics for Premasters, fall 2015 Assignment - Basic terms and exploring data Q1. For each of the following statements, indicate whether they are true or false, why, and explain with an example. a) An interval-scale i ...

Two students play the following game two dice are tossed if

Two students play the following game. Two dice are tossed. If the sum of the numbers showing is less than 7, student A collects a dollar from student B. If the total is greater than 7, then student B collects a dollar fr ...

A random process xt has the following member

A random process X(t) has the following member functions:    Each member function occurs with equal probability (a) Find the mean function  (b) Find the autocorrelation function  (c) Is the process WSS? Is it stationary ...

In order to save costs a firm issued a guideline that fax

In order to save costs, a firm issued a guideline that fax transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed but they want the average to be 10 or below. The firm examined 35 ...

Letnbsptheta be a phase angle which is uniformly

Let θ be a phase angle which is uniformly distributed over   Suppose we form two new random variables according to  for some constant . (a) For what values of the constant are the two random variables x and y orthogonal? ...

A random variable x has a gaussian pdf with mean 5 and unit

A random variable, X, has a Gaussian PDF with mean 5 and unit variance. We measure 10 independent samples of the random variable. (a) Determine the expected value of the sample mean. (b) Determine the variance of the sam ...

Quesion in boomtown government officials are considering

Quesion: In Boomtown government officials are considering implementing an excise tax on the producers of tennis balls. They have called you in to analyze the impact of this proposed tax. Currently (before the excise tax) ...

Company a manufactures computer applications boards they

Company A manufactures computer applications boards. They are concerned with the mean time before failures (MTBF), which they regularly measure. Denote the sample MTBF as Determine the number of failures that must be mea ...

Practice exercise 1 one -way analysis of variance anova 1

Practice Exercise 1: One -way Analysis of Variance (ANOVA) 1. When is it appropriate to use a one-way ANOVA to analyze data? 2. What letter is use the designate the test statistic used in the one-way ANOVA? 3. What are t ...

Imagine that you are trapped in a circular room with three

Imagine that you are trapped in a circular room with three doors symmetrically placed around the perimeter. You are told by a mysterious voice that one door leads to the outside after a 2-h trip through a maze. However, ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate