In a study of speed​ dating, male subjects were asked to rate the attractiveness of their female​ dates, and a sample of the results is listed below ​(1 = not ​attractive; 10 = extremely ​attractive). Construct a confidence interval using a ​95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females? 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9 What is the confidence interval for the population mean ​μ? <μ

Answers

Answer 1

Answer:

Confidence Interval =  ( 5.6 < μ < 8.2 )

The interval shows that the mean attractiveness is Above average on a scale of 1 to 10

Step-by-step explanation:

Data Given  : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9

a) construct a confidence interval at a 95% confidence level

confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )

n = 12

μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12  ≈ 6.92

std ( s ) = √ 1/11 *∑( xi- X )^2

= √ 1/11 *  ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2

= √ 1/11 * 46.92 =  2.07

tcritical at ∝ 0.05 , df = 11  = 2.20

Back to equation 1

6.92 ± 2.2 ( 2.07 / √ 12 )

( 6.92 ± 1.31 )

Confidence Interval =  ( 5.6 < μ < 8.2 )    


Related Questions

Write an expression that expresses y in terms of x

Answers

Answer:

y= 5/2x

Step-by-step explanation:

okay so the diffrence between 10, 12, 14 is 2 and diffrence between 25, 30 and 35 is 5

now... y=mx+b

slope or m= 5/2. y=5/2x

Someone help! James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.

7 x + 4 and 3 x + 5 + 4 x minus 1
1. When x = 2, both expressions have a value of 18.
2. The expressions are only equivalent for x = 4 and x = 6.
3. The expressions are only equivalent when evaluated with even values.
4. The expressions have equivalent values for any value of x.
5. The expressions should have been evaluated with one odd value and one even value.
6. When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7. The expressions have equivalent values if x = 8.

Answers

Answer:

3, 5, and 6

Step-by-step explanation:

please help me, i will give u brainliest if it is CORRECT

Answers

Answer: 25%

Step-by-step explanation:

STEP ONE: Find the total possible ways to roll the dice.

- Each roll has 6 possible numbers

- Each roll is independent

6×6=36 possible combination

STEP TWO: Find the possible ways to roll the dice in odd-odd

- Each roll has 3 odd number (1, 3, 5)

- Each roll is independent

3×3=9 possible combination

STEP THREE: Put it into a fraction

Possibility of odd-odd=(possible odd-odd combination)/(total combination)×100%= 9/36 × 100%=0.25 × 100%= 25%

Hope this helps!! :)

Please let me know if you have any questions

Suppose a white dwarf star has a radius of approximately 9.0415 x 10 km. Use the formula 4 to find the approximate surface area of the star.

Please show work and not just a rando scam link ._.

Answers

Answer:

I like doods

Step-by-step explanation:

Pp + pp

Sarah wants to make a quilt that is 6 feet wide and 8 feet long. she is patching together 4 inch sided squares of fabric to make the quilt. how many patches of fabric will she need?​

Answers

Answer: 2 patches of fabric needed

Step-by-step explanation:

Given

Quilt: 6 ft × 8 ft

Fabric: 4 ft × 4 ft

Solve

Area of quilt=4×8=32 ft²

Area of fabric=4×4=16 ft²

To find the number of fabric needed, we need to divide the area of fabric from the total area of the quilt.

32/16=2

Hope this helps!! :)

Please let me know if you have any questions

help please i am confused​

Answers

Answer:

-50

Step-by-step explanation:

Anthony and six friends went out for steaks and salad. The total cost of the
salad was $42. If each person paid $17, what was the total cost of the steaks?

Answers

Answer:

$77

Step-by-step explanation:

7 people, each person paid 17, 17x7 = 119, salad was 42, 119 - 42 = 77

The total cost is $53

Jose and Francis throw a ball in the air and create function models to show the trajectory. The variable x represents time in seconds after the ball was thrown and f(x) represents the height in meters. The path of Jose's ball is represented by the function, f(x)=−4.9x2+25.48x+1.8. The path of Francis's ball is represented by the table. Select the answers from the drop-down menus to complete the statements. Choose... ball is thrown from a greater height off the ground. Choose... the ball reaches a greater maximum height. x f(x) 0 1.6 0.7 18.047 1.4 30.412 2.1 37.615 2.8 40.016 3.5 37.615 4.2 30.412 4.9 18.047 5.6 1.6

Answers

Answer:

1.Jose's

2.

Francis's

Step-by-step explanation:

Answer:

Step-by-step explanation:  

Describe the cross section

Answers

Ibelieve this would be an obtuse trapezoid ie a quadrilateral with only 2 sides parallel and in this case with one obtuse angle ie an angle greater than 90 degrees and less than 180 degrees

please HELPppppppppppppppp

Answers

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

Which of the following values of f are solutions to the inequality below?
​Select all that apply.
f≥ -5

Answers

Answer:

-4

Step-by-step explanation:

Please help meee I need help

Answers

Answer:

5

6

Step-by-step explanation:

To solve, collect like terms

x ≥ 2 + 21/2

x ≥ 4 1/2

the whole number that would be greater than 41/2 would be 5

2.  2.7 + 3.3  > x

6 > x

match each quadratic function to its graph

Answers

can you attach a link if possible <3

A television at Walmart cost $1,538 and $1,923 at Target. With taxes, what would you actually pay at each store. Walmart sales tax is 7% and Target’s sale tax is 9%.

Answers

Answer:

walmart:1645.66 target:2096.07

Step-by-step explanation:

walmart:1538/100 × 107= 1645.66

target:1923/100 × 109= 2096.07

i think this is the ans but im not very sure

Mario spends$$80 to produce some pineapples. He is able to sell each one for$$7.

If p represents the number of pineapples he must sell to make a profit, write an inequality and solve for p. Do not round your answer.

35 points

Answers

7p=80
P greater than or equal to 11.42857

15/20 = ? (Fractions)
After solved please type how u got it for a test thank u!

Answers

15 / 20 = 3 × 5 / 4 × 5

simplify 5 from The Denominator and The numerator

= 3 / 4

If ΔABC is similar to ΔDEFand EF = 6y, which represents the length of DF ?

Options
3y + 3
3y + 9
4y + 7
4y + 16

Answers

Answer:

Length of DF = 3y + 9

Step-by-step explanation:

Given:

ΔABC is similar to ΔDEF

Line EF = 6y

Find:

Length of DF

Computation:

Given that  ΔABC is similar to ΔDEF

So,

Line BC similar to Line EF

Line BA similar to Line ED

Line AC similar to Line DF

Common factor = EF/BC

Common factor = 6y/2y

Common factor = 3

So,

Line AC similar to Line DF

So,

DF = 3[AC]

Length of DF = 3[y+3]

Length of DF = 3y + 9

What is the slope of y=7x+2

Answers

Answer: m = 7

Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where m represents the slope of the line and b represents the y-intercept.

Now looking at this equation, we can see that m or the slope of the line is 7.

Which of the following statements about rotations are true? Select all that apply.

a. The shape of the figure does not change.

b. The position of the figure does not change.

c. The size of the figure does not change.

d. The orientation of the figure does not change.

e. The coordinates of the figure do not change.

Answers

Answer:

hmmm I guess it has to be e. if I 'm wrong

Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.

Answers

Answer:

[tex]12x + 24 = 2(6x + 12)[/tex]

[tex]12x + 24 = 3(4x + 8)[/tex]

[tex]12x + 24 = 4(3x + 6)[/tex]

[tex]12x + 24 = 6(2x + 4)[/tex]

[tex]12x + 24 = 12(x + 2)[/tex]

Step-by-step explanation:

Given

[tex]12x + 24[/tex]

Required

Equivalent expressions

No option were given; So, I will list out some possible equivalent expressions.

Using distributive property:

[tex]AB + AC = A*(B + C)[/tex]

So, we have:

[tex]12x + 24 = 2*6x + 2 * 12[/tex]

[tex]12x + 24 = 2(6x + 12)[/tex] ----- (1)

Another:

[tex]12x + 24 = 3*4x + 3 * 8[/tex]

[tex]12x + 24 = 3(4x + 8)[/tex]

Another:

[tex]12x + 24 = 4*3x + 4*6[/tex]

[tex]12x + 24 = 4(3x + 6)[/tex]

Another:

[tex]12x + 24 = 6*2x + 6*4[/tex]

[tex]12x + 24 = 6(2x + 4)[/tex]

Another:

[tex]12x + 24 = 12*x + 12*2[/tex]

[tex]12x + 24 = 12(x + 2)[/tex]

3. Audrey measures the distance around the lid of her aquarium. The picture
shows the shape of the lid. If the perimeter of the lid is 56 inches, what is the
missing side length? *

Answers

Answer:

Answer: 10 inches

Explanation: You are given one side of the aquarium which is 18 inches. The top and the bottom of the aquarium is 18 inches because that’s what the diagram gives us. So you can multiply 18 x 2=36. Now, to find the missing side length, subtract the perimeter (56 inches) by 36 and you get 20 inches. However, that’s not your final answer because you have to divide 20/2=10 inches. 10 inches is the missing side length for the left and right side lengths

The missing length of the lid of her aquarium in the pricure is 18 inches.

What is the missng length?

The shape of the lid of her aquarium is a rectangle. A rectangle is a quadrilateral with four sides.

The perimeter of the rectangle = 2(length + width)

56 = 2(18 + l)

56/2 = 18 + l

28 = 18 + l

l = 28 - 18 = 10 inches

Find attached the required image. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

That is what I need help with.


Also I hope you have a good day :)

Answers

2x = 22
5x = 55
8x+15 = 103

Water is filling a conical tank at a rate of 3 pi cubic feet per second. However, the water level is only increasing at a rate of 1/2 pi feet per second. There must be a leak in the tankout the rate water is out of the tank when the water level is 5 feet from the bottom of the tank. The tank is 10 feet in height and has a radius at the top of 2 feet.

Answers

What the above me said 180

Evaluate (1002 - 187)
Given that 3 x 91+x=27*. find x​

Answers

Answer:

3×91+×=27

273+×=27

×=27-273

×= -246

Answer: x=−246

→ Hope this help!←

If a side of an ice cube measures 1 inches, what is the total volume of 9 such ice cubes?

Answers

Answer:60

Step-by-step explanation:

Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip, if the original price of meals was $75.00, what is the discounted price, not including tax and tip?

Answers

Answer:

$93.75

Step-by-step explanation:

0.25 x $75.00=$18.75

$75.00 + $18.75 = $93.75


Plz help plz help pl help

Answers

[tex] \large{\underline{\textsf{\textbf{\purple{ Given : }}}}} [/tex]

• Length = 9 [tex] \sf \dfrac{1}{2} [/tex] yd = [tex] \sf \dfrac{19}{2} [/tex] yd

• Breadth = 6 yd

• Height = 4 [tex] \sf \dfrac{2}{3} [/tex] yd = [tex] \sf \dfrac{14}{3} [/tex] yd

[tex] \large{\underline{\textsf{\textbf{\purple{ To \: calculate : }}}}} [/tex]

• Volume

[tex] \large{\underline{\textsf{\textbf{\purple{ Calculation : }}}}} [/tex]

As we know that,

[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]

So,

→ Volume = [tex] \sf \dfrac{19}{2} [/tex] yd × 6 yd × [tex] \sf \dfrac{14}{3} [/tex] yd

→ Volume = ( [tex] \sf \dfrac{19}{2} [/tex] × 2 × 14 ) [tex] \sf yd^3 [/tex]

→ Volume = 19 × 14 [tex] \sf yd^3 [/tex]

→ Volume = 266 [tex] \sf yd^3 [/tex]

So, option (i) is correct.

juan has $500 in his bank account. At the end of each month he plans to deposit $75. If these are his only transactions, which expression could be used to show the amount of money Juan will have in his account after m months?

Answers

75m+500

You have the 500 as the initial amount and the 75m is how much juan adds each month

Dan made 8 out of 10 free throws. What is the experimental probability that he will not make his next free throw? What is the theoretical probability of not making a free throw?

Answers

Answer:

8/10--> 2/10 20 % scnahce of not makin git

Step-by-step explanation:

Simplify the expression for the function h(x)=(x^7/x^3)^2

a.) h(x)= x^5
b.) H(x)= x^8
c.) H(x)=x^40
d.) h(x)= x^16

Answers

Hopes this helps:

Answer: b.) h(x)= x^8
The correct answer is b
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