1 answer

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed...

Question:

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1261 chips and a standard deviation of 117 chips. ​(a) Determine the 25th percentile for the number of chocolate chips in a bag. ​(b) Determine the number of chocolate chips in a bag that make up the middle 96​% of bags. ​(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip​ cookies?

In need of help on b and c only


Answers

Here, we are given the distribution as:

Solution :

mean = \mu = 1261

standard deviation = \sigma = 117

a) From standard normal tables we get:

P(Z < -0.6745) = 0.25

Therefore the 25th percentile observation here is computed as:

= Mean -0.6745*Std Dev.

= 1261 -0.6745*117

= 1182.08

b) From standard normal tables, we get:

P( -2.05 < Z <2.05) = 0.96

Therefore the interval here is computed as:

Mean - 2.05*Std Dev. , Mean+ 2.05*Std Dev.

1261 - 2.05*117, 1261 + 2.05*117

1020.71,1501.29

This is the required middle interval required here

c) From the standard normal tables, we get:

P(Z < -0.6745 ) = 0.25

Therefore, P(Z > 0.6745) = 0.25

Therefore, here the interval is computed as:

1261 - 0.6745*117, 1261 + 0.6745*117

Therefore interquartile range here is computed as:

= 2*0.6745*117

= 157.833

Therefore the required interquartile range is 157.833

.

Similar Solved Questions

1 answer
There is a solid ball that weighs 1000g. The radius of the ball is 5 cm....
There is a solid ball that weighs 1000g. The radius of the ball is 5 cm. 1. What is the density of the ball? (π=3)    in kg/m3    (no unit needed in the answer )   2. If you cut a smaller ball, which has a radius of 1 cm, from this big ball. What is the mass lef...
1 answer
Che Required information The Foundational 15 [LO5-1, LO5-3, LO5-4, L05-5, LO5-6, LO5-7, LO5-8) (The following information...
Che Required information The Foundational 15 [LO5-1, LO5-3, LO5-4, L05-5, LO5-6, LO5-7, LO5-8) (The following information applies to the questions displayed below) Oslo Company prepared the following contribution format income statement based on a sales volume of 1000 units (the relevant range of pr...
8 answers
A Science instrutor assigns his student one second of home work
A Science instrutor assigns his student one second of home work..the first week of school,two seconds. the second week four seconds, the third.if the student asked whether he would agree to this weekly homework doubling for the duration of the 36-week school year.how much homework in hours would thi...
1 answer
Emitter Base Collector 5. Figure illustrates the minority carrier concentrations along a BJT. We are told...
Emitter Base Collector 5. Figure illustrates the minority carrier concentrations along a BJT. We are told that VEB>0 and VcB>0 according to polarity shown in the figure. State the type of the transistor and the mode in which it is operating a. PNP, active mode b. NPN, saturation mode c. NPN, r...
1 answer
Check B Exercise 12-6 (Algo) Trading securities (L012-1, 12-3) Mills Corporation acquired as an investment $200...
Check B Exercise 12-6 (Algo) Trading securities (L012-1, 12-3) Mills Corporation acquired as an investment $200 million of 7% bonds, dated July 1, on July 1, 2021. Company management is holding the bonds in its trading portfolio. The market interest rate yield) was 5% for bonds of similar risk and m...
1 answer
Place the following in order of probable increasing boiling point: CH3OH, CH4, H2O, CH3F. Explain why.
Place the following in order of probable increasing boiling point: CH3OH, CH4, H2O, CH3F. Explain why....
1 answer
A firm is contemplating shortening its credit period from 40 to 30 days and believes that,...
A firm is contemplating shortening its credit period from 40 to 30 days and believes that, as result of this change, its average collection period will decline from 45 to 36 days. Bad-debt expenses are expected to decrease from 1.5% to 1% of sales. The firm is currently selling 12,000 units but beli...
1 answer
1.Calculate the pH of a solution containing 0.16M hydrazoic acid, HN3, & 0.19M sodium azide, NaN3....
1.Calculate the pH of a solution containing 0.16M hydrazoic acid, HN3, & 0.19M sodium azide, NaN3. The Ka of HN3 is 2.5x10-5....
1 answer
When people decide to spend a smaller percentage of each paycheck, this causes national saving to...
When people decide to spend a smaller percentage of each paycheck, this causes national saving to ____ and the equilibrium interest rate to ____ in a closed economy. Group of answer choices increase : decrease increase : increase decrease : increase decrease : decrease...
1 answer
Question 17 Figure: Unicycle Production Costs Price and Cost (5 40 42 44 Output Reference: Ref...
Question 17 Figure: Unicycle Production Costs Price and Cost (5 40 42 44 Output Reference: Ref 8-10 (Figure: Unicycle Production Costs) What is the long-run price that John will receive for his unicycles? A. $18 B. $20 OC. 517 D. $16...
1 answer
114 points) A traditional income statement for Sam's Bookstore, a retailer of textbooks, for April is...
114 points) A traditional income statement for Sam's Bookstore, a retailer of textbooks, for April is presented below. $900,000 630,000 270,000 Sales Cost of Goods Sold Gross Profit Less Operating Expenses Selling Administration Operating Income 100,000 104,000 204,000 $66,000 Books sell for $50...
1 answer
An air puck of mass 0.200 kg is tied to a string and allowed to revolve...
An air puck of mass 0.200 kg is tied to a string and allowed to revolve in a circle of radius 1.03 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 1.22 kg is tied to it as seen in the figure below. The suspended mass r...
1 answer
This is the be anwsered in the language scheme and it only
this is the be anwsered in the language scheme and it only Question 2 (100 marks in total) Write a recursive function (split L) that takes a list L, and returns a new list containing two sublists with the first sublist containing every second element in L and the second list containing the remainin...
1 answer
Solve each equation by completing the square
Solve each equation by completing the square.-36x=8x^2+28-8x^2-3x=-55x^2-x-6=06x^2-24x-30=07x^2+8x-12=0-10x^2 -9x+1=05x^2-x=4-11x^2-8x=-7x-10-3 1/3x^2+ 10x -27 1/2= -231/3...
1 answer
Analyze the code to determine what the code does, how the data is structured, and why...
Analyze the code to determine what the code does, how the data is structured, and why it is the appropriate data structure (i.e. linked list, stack or queue). Note that these are examples of classes and methods and do not include the "main" or "test" code needed to execute. When you ...
1 answer
Quiz na Which of the following conclusions about the evolutionary relationships of Species A-H can be...
Quiz na Which of the following conclusions about the evolutionary relationships of Species A-H can be drawn from this cladogram? Cladogram Showing Evolutionary Relationships Among Species A Finish at Time lef Select one: a. Species F is more closely related to species H than species F is to species ...
1 answer
Why is accrual-based income not measured accurately if a fixed asset's entire cost is deducted as...
Why is accrual-based income not measured accurately if a fixed asset's entire cost is deducted as an expense in the year of purchase?...