## Answers

Mean, µ = 2674

Standard deviation, σ = 508

Sample size, n = 108

1) Probability that the mean is greater than 2744, P(X̅ > 2744) =

= P( (X̅-μ)/(σ/√n) > (2744-2674)/(508/√108) )

= P(z > 1.432)

= 1 - P(z < 1.432)

Using excel function:

= 1 - NORM.S.DIST(1.432, 1)

= **0.0761**

b) Probability that the mean is between 2543 and 2643, P(2543 < X < 2643) =

= P( (2543-2674)/508 < (X-µ)/σ < (2643-2674)/508 )

= P(-0.2579 < z < -0.061)

= P(z < -0.061) - P(z < -0.2579)

Using excel function:

= NORM.S.DIST(-0.061, 1) - NORM.S.DIST(-0.2579, 1)

= **0.0774**

#### Similar Solved Questions

1 answer

##### Ches You have just been hired as a new management trainee by Earrings Unlimited, a distributor...

Ches You have just been hired as a new management trainee by Earrings Unlimited, a distributor of earrings to various retail outlets located in shopping malls across the country. In the past, the company has done very little in the way of budgeting and at certain times of the year has experienced a ...

1 answer

##### A small, 1.90 mm-diameter circular loop with R= 1.40x 10-2 is at the center of a...

A small, 1.90 mm-diameter circular loop with R= 1.40x 10-2 is at the center of a large 100 mm- diameter circular loop. Both loops lie in the same plane. The current in the outer.loop changes from +1.0 Ato -1.0 A in 8.00x10-2 s. Part A What is the induced current in the inner loop? Express your answe...

1 answer

##### You titrate 25.00 mL of 0.03290 M Na2CO3 with 0.02530 M Ba(NO3)2. Calculate pBa2 after the...

You titrate 25.00 mL of 0.03290 M Na2CO3 with 0.02530 M Ba(NO3)2. Calculate pBa2 after the following volumes of Ba(NO3)2 are added. Ksp for BaCO3 is 5.0 × 10–9. (a) 12.70 mL (b) Ve (c) 36.30 mL Please show all work and answer all parts...

1 answer

##### Given below are the future value factors for 1 at 8% for one to five periods....

Given below are the future value factors for 1 at 8% for one to five periods. Interest compounded annually is 8%. What amount will be in a bank account three years from now if $8,000 is invested each year for four years with the first investment to be made today?...

1 answer

##### Question on hypodescent concept.

Explain what “hypodescent” is, and how it has been applied to matters of race in the United States. Give an example of how this contrasts with the way human being havebeen classified into “natural” or “biological” groups in some other part of the world. Thanks in ...

1 answer

##### What is the practice of “fast-tracking” or “design/build?” What are the associated potential benefits and dangers?...

What is the practice of “fast-tracking” or “design/build?” What are the associated potential benefits and dangers? What happens during the design stage? Who is involved? What do they do? What is the role of the project manager? How are design changes monitored and controlled?...

1 answer

##### Assume that the alkene reacts with the diene in a Diels-Alder reaction. Use the JSME ed...

Assume that the alkene reacts with the diene in a Diels-Alder reaction. Use the JSME ed tor structure can be found here ) to draw the structure of the product of the reaction. The guide on how to draw your [.2- CCCCCCCC-C1...

1 answer

##### F(x) Sa} 5. Show that if f is a convex function on R" then for any...

f(x) Sa} 5. Show that if f is a convex function on R" then for any value a E R the set {<ER is convex, and so too is the set {x ER" f(x) <a}....

1 answer

##### Q. 5 (20 points) (a) (10 points) In a typical organizing process, there are five steps...

Q. 5 (20 points) (a) (10 points) In a typical organizing process, there are five steps in a closed-loop. In your assessment which of these steps is most important, and which step is least important? Justify your choices briefly. (b)(10 points) What is the motivation driving 'division of labor...

1 answer

##### Pearl Products Limited of Shenzhen, China, manufactures and distributes toys throughout Southeast Asia. Three cubic centimeters...

Pearl Products Limited of Shenzhen, China, manufactures and distributes toys throughout Southeast Asia. Three cubic centimeters (cc) of solvent H300 are required to manufacture each unit of Supermix, one of the company’s products. The company now is planning raw materials needs for the third q...

1 answer

##### Please explain in details Using the ActiveModel for Brca2 (the protein encoded by the BRCA2 gene...

Please explain in details Using the ActiveModel for Brca2 (the protein encoded by the BRCA2 gene associated with breast cancer susceptibility), discuss how a mutation in a BRC motif could cause breast cancer....

1 answer

##### Does Hursthouse think a virtuous person would ever break a promise? If they did, would that make them untrustworthy?

Does Hursthouse think a virtuous person would ever break a promise? If they did, would that make them untrustworthy?...

1 answer

##### Consider hanging masses off the ends of a meter stick which is nailed to the wall,...

Consider hanging masses off the ends of a meter stick which is nailed to the wall, as shown the figure. Take the meter stick to be a 1.0 m long massless rod, the nail is d = 12 from the end as shown, and it is free to rotate about this point. If I put a mass m_1 = 5.0 kg onto the left of the meter s...

1 answer

##### If cos x = -and sin x > 0, find the exact value of sin(2x) VO...

if cos x = -and sin x > 0, find the exact value of sin(2x) VO and simplify...

1 answer

##### MPC Spending Multiplier Change in income 100 20 0.99 0.95 0.6 0.5 Change in government spending...

MPC Spending Multiplier Change in income 100 20 0.99 0.95 0.6 0.5 Change in government spending $15 $100 -$400 $450 $1,500 $2,000 -$1,000 $900 2.5 2.0 4. Assume that the equilibrium in the loanable funds market is at interest rate of 1.25% and quantity of funds at $20 billion. Suppose the current go...

1 answer

##### A neural language feature requires users to type commands or requests in programming code using a...

A neural language feature requires users to type commands or requests in programming code using a set of instruction and symbols T/F Agile projects use various iterative and incremental models T/F...