A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of homeowners selected from this area showed that they pay an average of per month for their mortgages. The population standard deviation of such mortgages is . a. Find a confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places. 1538.51 to 1627.49 dollars b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced.

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Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The  97% confidence interval is  [tex]1528  <  \mu <  1612 [/tex]

b

Option A and  Option D  are correct

Step-by-step explanation:

From the question we are told that

     The sample size is n =  119

     The  sample  mean is [tex]\$ 1570[/tex]

    The  population standard deviation is  [tex]\sigma  =  \$ 211[/tex]

    Generally given that the confidence level is  97% then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 97 )\%[/tex]

=>    [tex]\alpha = 0.03[/tex]

From the normal  distribution table  the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

     [tex]Z_{\frac{\alpha }{2} } =  2.17[/tex]

Generally the margin of error is mathematically represented as

     [tex]E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }[/tex]

    [tex]E =  2.17*  \frac{211}{\sqrt{ 119 } }[/tex]

=>   [tex]E =   41.98 [/tex]

Generally the 97% confidence interval is mathematically represented as

     [tex]\= x  - E  <  \mu <  \= x  + E[/tex]

=>    [tex]1570  - 41.98  <  \mu <  1570  + 41.98 [/tex]

=>    [tex]1528  <  \mu <  1612 [/tex]

Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.

Generally the margin error is directly proportional to the  critical value of  [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa

Also the margin error is inversely proportional to the square root of  sample size

Hence to reduce the width of the confidence interval we need to lower the confidence level  and increase the sample size

A Bank Manager Wants To Know The Mean Amount Of Mortgage Paid Per Month By Homeowners In An Area. A Random

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The answer is 1/6.

53/6 is the largest and -26/3 is the smallest.

Which scales are equivalent to 1 inch to 1 foot?
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Step-by-step explanation:

The answer is A,d,b,f

Which expression represents the total volume of the two storage spaces

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Answer:

S^3+12

Step-by-step explanation:

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The expression that represents the total volume of the two storage spaces is s³+ 12

What is the total volume?

The total volume of the two storage spaces is the sum of the smaller storage space and the larger storage space.

Volume = width x height x length.

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The total volume of the two storage spaces = s³+ 12

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Answer:

1. c 2.  No, its not the original figure. Its 270 degree turn.

Step-by-step explanation:

Answer:

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Answers

Answer:

for the line to have a constant slope, the difference of every y- ordinate with the last ordinate has to be equal

to check this, we will use the following formula

y4 - y3 = y2 - y1  

if both the LHS and the RHS are equal, the slope is constant and is irregular otherwise

5 - 8 = 7 - 3

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LHS ≠ RHS

Since LHS is not equal to RHS, the slope is NOT constant and hence keeps increasing or decreasing irregularly

Therefore, option 4 (Not a line) is correct

Answer:

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Step-by-step explanation:

each x value increases by 1, but the y values are all over the place and are in no order.

How can you estimate the area of a irregular figure?

Answers

Answer: To find the area of irregular shapes, the first thing to do is to divide the irregular shape into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth... Then, find the area of these individual shapes and add them up!

Answer:

and that how you estimate the area of an irregular figure

You had planned to go out for pizza with your friends Saturday night. You’ve all gathered at your place but when you’re about to leave, it starts to snow heavily, so you decide to have a pizza party at your place. The pizza delivery guy shows up with your order much sooner than you expected. The bill is $133.32. How much would you tip him? Explain your reasons for deciding how much to tip.

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Answer:

$20

Step-by-step explanation:

the delivery guy show up early and that guy deserve 20bucks

The record low temperature in Pittsburgh, PA is ​-22°F. The record high is 103°F. What is the difference in the record high and the record low temperatures?

Answers

Answer:

The difference in the record high and the record low temperatures is 125°F

Step-by-step explanation:

Given a quantity T that varies in time, say T1 and T2, being T1 the initial value and T2 the final value.

The change or difference between the final and the initial values is:

T=T2-T1

The record low temperature in Pittsburgh, PA is T1=-22°F while its record high is T2=103°F

The difference is:

T=103°F - (-22°F)

Note both negative signs multiply to produce a positive sign, and a sum instead of a subtraction:

T=103°F + 22°F = 125°F

The difference in the record high and the record low temperatures is 125°F

Identify all the numbered angles that are congruent to the given angle.
Justify your answers.

Answers

Answer/Step-by-step explanation:

The reasons for the stated numbered angles that are congruent to the given angles are written in the parentheses as follows:

7. <7 ≅ 65° (alternate interior angles)

<4 ≅ 65° (corresponding angles)

<1 ≅ 65° (vertical angles)

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<5 ≅ 51° (corresponding angles)

<7 ≅ 51° (vertical angles)

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What is the equation of the line that is perpendicular to and has the same y-intercept as the given line

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Answer:

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Step-by-step explanation:

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C.

Step-by-step explanation:

Just took the test

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21, 45, 44, 21, 40, 67, 93

Answers

Answer:

21 is the mode

Step-by-step explanation:

a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set

Please help me on this question ASAP if you do ill give you brainliest!

Answers

Answer:

7. 2/3   8. 1 1/13 9. 1 3/5   10. 1 17/19    11. 1 16/19   12. 22.63    13. 4 20/39  14.2 16 /145  15. 1 25 /62

Step-by-step explanation:

To divide fraction, flip the second fraction then multiply.
If it is a mixed fraction, convert the mixed fraction first. Then follow the rule for dividing fractions

7. 24/55
8. 1 1/13
9. 1 3/5
10. 1 17/19
11. 1 16/19
12. 22/63
13. 4 20/39
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The statement "If a = 6, then 6 = a." illustrates which property?

Answers

Answer

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Step-by-step explanation:

This means that even if you swap the numbers the answer stays the same.

HOPE IT HELPED

HAVE A GOOD NIGHT/DAY

What is the slope of the line that passes through points (-3,5) and (11,5)

Answers

Answer:

slope = -3/14

Step-by-step explanation:

y1  - y2 / x1 - x2

They gave you one value, two total coordinates

5-5 = 1

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-14

1/-14

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Domain = inputs = x = { 1 , 2 , 3 }

Range = outputs = y = { 2 , -1 }

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces. Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.

Answers

Answer:

0.27

Step-by-step explanation:

The standard deviation of a uniform distribution is:

σ² = (b − a)² / 12

σ² = (32.51 − 31.58)² / 12

σ² = 0.0721

σ = 0.268

Rounded to the hundredths place, the standard deviation is 0.27.

To solve this question, we use concepts of the uniform probability distribution.

Using this, we get that the standard deviation in volumes of quart-size Hellmann's mayonnaise jars is of 0.2685 fluid ounces.

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The standard deviation is:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces.

This means that [tex]a = 31.58, b = 32.51[/tex]

Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces).

[tex]S = \sqrt{\frac{(32.51 - 31.58)^2}{12}} = 0.2685[/tex]

Thus, the standard deviation is of 0.2685 fluid ounces.

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The management of Hartman Rent-A-Car has allocated $2.52 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18,000 each, intermediate-size cars cost $27,000 each, and full-size cars cost $36,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.)

Answers

Answer:

The number of compact cars = x = 30 cars

The number of intermediate-sized car = y = 60 cars

The number of full-size cars purchased = z = 10 cars

Step-by-step explanation:

Let us denote:

the number of compact car = x

the number of intermediate-sized car = y

the number of full-size cars purchased = z

The total number of cars to be purchased is 100.

Hence:

x + y + z = 100...........Equation 1

If Hartman purchases twice as many compacts as intermediate-size cars

y = 2x

So: x + 2x + z = 100..........Equation 2

= 3x + z = 100

z = 100 - 3x

Compacts cost $18,000 each, Intermediate-size cars cost $27,000

Full-size cars cost $36,000 each.

Assume that the entire budget will be used.

Hence,

x × $18,000 + y × $27,000 + z × $36,000 = $2,520,000.

18000x + 27000y + 36,000z = $2,520,000.....Equation 4

Substitute 100 - 3x for z and y = 2x in Equation 4

18000x + 27000(2x) + 36,000(100 - 3x) = $2520000

18000x + 54000x + 3,600,000 -108000x = $2520000

72000x -108000x + 3,600,000 = $2,520,000

= $3,600,000 - $2,520,000 = 108000x - 72,000x

$1,080,000 = 36,000x

Divide both sides by $36,000

x = $1080000/36000

x = 30

From the above:

y = 2x

y = 2 × 30

= 60

z = 100 - 3x

= 100 - 3 × 30

= 100 - 90

= 10

Therefore,

The number of compact cars = x = 30 cars

The number of intermediate-sized car = y = 60 cars

The number of full-size cars purchased = z = 10 cars

please help :D I understand them but I need someone to check them :)

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So what you need help with like or we supposed to solve them ?

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Step-by-step explanation:

Need Help please i will mark brainliest when it lets me

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Step-by-step explanation:

Answer:

the 2nd one

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Step-by-step explanation:

your problem can't have two equal however if you mean 2(3r-4)=4r + 3 its equal to 11/2. but if you mean 2(3r-4)=4r(3) its equal to -4/3

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Answer:

The answer to your problem is 10000

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Step-by-step explanation:

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Answer:  Converse: If the candy has 350 calories, the candy is chocolate, False. There is another 350 calorie candy.

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Step-by-step explanation:

You need to have a basic frame for converting the original statement to the other forms such as

Original: If P, then Q

Converse: If Q, then P      Just reverse the parts

Inverse: If not P then not Q In the same order, make both negative, add "not"

Contrapositive: If not Q then not P Reverse the order of the original and make both negative.  

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Plz mark me brainliest!!!!

Step-by-step explanation:

0

90

180

270

380

4) 41 25h+6
十十十十十十十十十十十十十>
3210 12 3 4 5 6 7 8 9

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Step-by-step explanation:

buena suerte con todo....

Seven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?

Answers

each friend payed $2.07

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Step-by-step explanation: BRAINLIEST MEEE

At pizza express it takes 6 cups of cheese to make 15 pizzas. At perfect pizza it takes 4 cups of cheese to make 6 pizzas. If the number of pizzas,y,is proportional to the cups of cheese,x, which pizza place has a larger constant of proportionality?

Answers

Pizza Express has a larger constant of proportionality than Perfect Pizzas because 1.6 > 1.5

15/6        6/4

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Answer:

110 square cm

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Step-by-step explanation:

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