Question: A variable X follows a normal distribution with mean 43 and variance 144. We take a random sample of n individuals from this distribution

A variable X follows a normal distribution with mean 43 and variance

A variable X follows a normal distribution with mean 43 and variance 144. We take a random sample of n individuals from this distribution and calculate the sample mean 2. What must the sample size be so that the standard deviation of the sample mean X is equal to 0.8?

Step by Step Solution

★★★★★

3.36 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the sample size n that ensures the standard deviat... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Write an equation of the line passing through the given point(s) and satisfying the given condition. Give the equation (a) In slope-intercept form (b) In standard form 4 3 (0, -6); perpendicular to y...

The Chronicle of Higher Education (January 29, 2003) summarized an article that appeared on the American Prospect web site titled College Try: Why Universities Should Stop Encouraging Applicants to...

prepare for Meng Kong a) an income statement for the year ended 31st december b) A Balance sheet as at 31st December 2018

A variable X follows a normal distribution with mean 43 and variance 144. We take a random sample of n individuals from this distribution and calculate the sample mean x . What must the sample size...

The differential equation y' =x+y+1-1 has the solution O a. * y = (x + c ) O b. C. y= 2 2(x+y+1) -x+C 3 2(x+y+1) +C 3 y= Odx+y+1=(x+c) e. x+y= 2 = (x + c )

Suppose random variable X follows a normal distribution with mean 10 and variance 16 . Consider random samples of different sizes from that population to answer the following qiestions, Consider a...

A random variable X follows a normal distribution with mean 10 and variance 16. Consider random samples of different sizes from that population to answer the following questions. Consider a sample of...

The 500 values of x; y; z1; and z2 in ivreg2.dat were generated artificially. The variable y b1 b2x e 3 1x e. (a) The explanatory variable x follows a normal distribution with mean zero and...

Suppose random variable X follows a normal distribution with mean 10 and variance 16. Consider random samples of different sizes from that population to answer the following questions. Consider a...

The member is made of A992 steel and has a diameter of 2 in. Take F.S. = 2.6 against buckling. Determine the maximum force P that can be supported by the assembly with Determine the maximum force P...

A machine part in the form a parallelopiped is deformed into the shape indicated by the dashed straight lines (small displacements). The displacements are given by the following relations: u= C1xyz,...

The structure shown below is supported by a steel cable from point B to C. This cable has a diameter of 10mm. The Young's modulus of the cable is 20.6x1010N/m2. Determine how much the cable stretches...

Assests A, B, C, and D's prices and payoff are given below Construct TWO different trading strategies if there are arbitrage opportunities. $1 $1 $2.6 E A $2 $0 $2.3 B $1 $1 $3.5 $2 $0 $3 $0.7 D $0...

You are a profitable conglomerate thinking about getting into the gelati business by acquiring the firm Alati Gelati (AG). Current info for you, AG and their similar comp is listed below. You...

A company wishes to create a trust fund through a savings plan with either annual or monthly deposits under an APR of 5% over 30 years. During that time, the company has the following cash flows: a...

You are buying a new car for $30,000 plus 5% taxes for a total cost of $31,500. You can pay cash for the entire amount by writing a check from your money market deposit account at the bank that...

Your tax clients, Jack and Diane a married couple filing a joint return, fell in love with a new construction house for sale in their small Illinois hometown. The builder offers two options on the...

After the adjusting entries have been completed, the adjusted balance and the prepaid rent account represents the blank

A consumer group conducts crash tests of new model cars. To determine the severity of damage to 2006 Mazda 6s resulting from a 10-mph crash into a concrete wall, the research group tests six cars of...

Background: In 1935, John Stroop published the results of his research into how people respond when presented with conflicting signals. Stroop noted that most people are able to read words quickly...

Gender differences in student needs and fears were examined in the article A Survey of Counseling Needs of Male and Female College Students (Journal of College Student Development [1998]: 205208)....

Walker's Inspection Services is in its second month of operations. You have been given the following journal entries regarding its January 2014 transactions. Required a. Set up the following accounts...

Prepare General Journal entries to record the following August 2014 transactions of a new business called The Pixel Shop. Aug. 1 Joseph Eetok, the owner, invested $20,000 cash and photography...

Calculate the account balance for each of the following: