Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hip measurment was 42.3 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 16 jeans and records the following hip measurements. in inches. 44.5,43.0, 46.6, 42.9.43.7.43.9.42.4, 43.2, 43.1.44.4.46.1, 44.7,44.4, 43.9,44.7 Mallorie plans to use this data to construct a 99% confidence interval for fe, the mean hip measurement of women's size 16 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 1.2 in. The sample mean, x, is the point estimate for a confidence interval to estimate a population mean. What is the mean hip measurement for the random sample of 15 pairs of women's size 16 jeans? What is the margin of error for Mallorie's confidence interval? Choose the correct interpretation of Mallorie's confidence interval. a. Mallorie is 99% sure that the mean hip measurement of size 8 jeans is between 37.71 in and 38.67 in. b. In 99% of all samples, the sample mean will fall between 37.66 in and 38.73 in. c. There is a 99% chance that the mean hip measurement of size 8 jeans falls between 37.71 in and 38.67 in. d. There is a 99% chance that the mean hip measurement of size 8 jeans falls between 37.66 in and 38.73 in. e. Mallorie is 99% sure that the mean hip measurement of size 8 jeans is between 37.66 in and 38.73 in.

Answers

Answer 1

Using the z-distribution, we have that:

The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.The margin of error is of 0.8 in.The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the sum of all observations divided by the number of observations. Hence:

[tex]\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1[/tex]

The margin of error of a z-confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.

Then, the margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.575\frac{1.2}{\sqrt{15}}[/tex]

[tex]M = 0.8[/tex]

The margin of error is of 0.8 in.

The interval is:

[tex]\overline{x} \pm M[/tex]

[tex]\overline{x} - M = 44.1 - 0.8 = 43.3[/tex]

[tex]\overline{x} + M = 44.1 + 0.8 = 44.9[/tex]

The interpretation is:

Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

A similar problem is given at https://brainly.com/question/25300297


Related Questions

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

What is the product of −2 1/2 and −3 1/3 pls asap

Answers

Answer:

-5/2 & -10/3

Step-by-step explanation:

For -2 1/2

as a decimal : -3.3

mixed number:-3 1/3

exact form: -5/2

for -3 1/3

as a decimal :-3.3

mixed number:-3 1/3

exact form:-10/3

6 1/6, a negative multiplied by a negative is a positive so -2 • -3 is 6 then we do 1/2 • 1/3, we multiply the denominator and get 6 and 1 • 1 is 1 so 6 1/6

If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?

Answers

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% Bn20% C 65% and D 80% pls help

Answers

Answer:

dream is better

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t

HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!

Answers

Answer:

x=11

y=118

Step-by-step explanation:

pls can i have brainliest if im right

Answer:

x = 34°

y = 118°

Step-by-step explanation:

As ∠y and 62° are on the same line but lines P and Q are parallel to each other, they both add up to 180:

y + 62 = 180

y = 180 - 62

y = 118°

As this angle and 4x - 18 are corresponding angles, they both equal the same so:

4x - 18 = 118

4x - 18 + 18 = 118 + 18

4x = 136

[tex]\frac{4x}{4} = \frac{136}{4}[/tex]

x = 34°

Hope this helps!

Please help 10 points

Answers

Answer:

SAS triangle because a SAS stands for side angle side that's how u always know

What is the value of 4) in the function below?
f(x) = 1.2
O A. 4
ОВ. 2
O C. 8
O D. 16

Answers

Answer:

D. 16          i took the quiz trust me ok? ily stay safe queen

Step-by-step explanation:

Find the value of y to the nearest tenth.

Answers

Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

Can someone help me, please?

Answers

15 + m < 26

M could be any number 10 or below

Answer:

Inequality

[tex]-22<m<12[/tex]

Interval Notation

[tex](-22,12)[/tex]

Reasoning:

First of all, subtract nine on both sides.

[tex]| m + 5|<17[/tex]

Now make two equations

[tex]|m+5|=-17[/tex]

[tex]m=-22[/tex]

[tex]|m+5|=17[/tex]

[tex]m=12[/tex]

Now you can make an inequality for m:

[tex]-22<m<12[/tex]

Which of these are equal to 5? Select all that apply.

Answers

Answer:

5

Step-by-step explanation:

Kindly, your question is not compete and clear

A pyramid has a square base with sides. The height of the pyramid is that of its side. What is the expression for the volume of the pyramid?

Answers

Answer:

The answer is E.

Find the divers maximum height above the water if he dives from a 10 feet
platform with an initial velocity 64 ft/s. To earn 5 points write the formula,
value of t and h

Answers

Answer:

6/7/8.9

Step-by-step explanation:

The credit remaining on a phone card is a linear function of the total calling time made with the card( in minutes). The remaining credit after 34 minutes of calls is $25.58, and the remaining credit i go after 48 minutes of calls is $23.76. What is the remaining credit after 50 minutes of calls

Answers

Answer:

23.5

Step-by-step explanation:

(23.76-25.58)/(48-34) = -0.13

-0.13 * 2 = -0.26

23.76 - 0.26 = 23.5

pasagot please
answer it please​

Answers

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

IF YOU ANSWER I WILL BRAINLIST YOU!!!!!!!

Jane works at a high-end jewelry store. She earns an hourly wage of $10.50, plus a 6% commission on any item she sells. One weekend, Jane works for 5 hours on Saturday and 9 hours on Sunday. She sells $650 worth of jewelry. How much money does she earn that weekend?

Answers

Answer:

$186

Step-by-step explanation:

hourly wage: $10.50/hour

commission: 6%

5 hours + 9 hours = 14 hours

14 hours × $10.50/hour = $147

6% of $650 = 0.06 × $650 = $39

total: $147 + $39 = $186

write an equation of the line that passes through (-2, 3) and is arallel to the line y=2x-4

Answers

Answer:

y=2x+7

Step-by-step explanation:

you would substitute so x=-2 and y=3

All lines parralel always have the same x so

y=2x-c (c means crossing point of y)

then substitute

3=(2x-2)-c

3=-4-c

c= +7

so just put in the equation and the answer is:

y=2x+7

Hope this helps!!

i will give crown if answered right i just need to check my work

Answers

Answer:

9x(3x-2) (3x+2)

Step-by-step explanation:

[tex]81x^{3}-36x[/tex]

9(9x³ - 4x)

9x(9x² - 4)

Since both terms are perfect squares factor using the difference of squares formula,  a² - b² = (a + b) (a - b)

Therefore, 9x(3x-2) (3x+2)

Answer:

81z^3-36z = 9z(3z-2)(3z+2)

Step-by-step explanation:

(81z^3-36z)=9z(9z^2-4)

9z(9z^2-4)=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

81z^3-36z=9z(3z-2)(3z+2)

3x^3 -5x^2 -x+3 when x=4 help I'm stuck on this

Answers

The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

The given equation is:

[tex]3x^3-5x^2-x+3[/tex]

To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]

When x = 4:

[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]

Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

Learn more here: https://brainly.com/question/25691329

ILLA
2. Miles makes $14 per hour but has to pay $55 for his cell
phone bill.

Answers

miles had to work 4 hours to pay his phone bills and he had 1$ left over

Answer:

i dont know

Step-by-step explanation:

what question are you asking?

Please help me , the question is in the image below

Answers

Answer:

not sure about this question

Step-by-step explanation:

not sure about this question

Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.

1.​(2,1) and (5,3)
2.​(-2,1) and (1, -3)
3.​(4,1) and (5,1)
4.​(7,-1) and (7,5)
5.​(-2,1) and (3,6)​

Answers

Step-by-step explanation:

Number 1

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(5 - 2)

m = 2/3 POSITIVE

Number 2

m = (y2 - y1)/(x2 - x1)

m = (-3 - 1)/(1 + 2)

m = -4/3 NEGATIVE

Number 3

m = (y2 - y1)/(x2 - x1)

m = (1 - 1)/(5 - 4)

m = 0/1

m = 0 ZERO

Number 4

m = (y2 - y1)/(x2 - x1)

m = (5 - 1)/(7 - 7)

m = 4/0

m = UNDEFINED

Number 5

m = (y2 - y1)/(x2 - x1)

m = (6 - 1)/(3 + 2)

m = 5/5

m = 1 POSITIVE

Find the product of 2 1/3 × 3/5

Answers

Answer: exact form: 7/5

Decimal form: 1.4

Mixed form: 1 2/5

Step-by-step explanation:

Yo help 20 points plssssssssssssss

Answers

Answer:

Up up up up up up up up up up

Find the 71st term. 8, 14, 20, 26, ...

Answers

Answer:

The 71st term is 428.

Step-by-step explanation:

Use Arithmetic Explicit formula:

f(n) = f(1) + (n - 1) d

Solve:

f(71) = 8 + (71 - 1) 6

f(71) = 8 + (70) 6

f(71) = 8 + 420

f(71) = 428

Find nth term rule its adding 6 so 6n
Now find 0th term 8-6=2
6n+2
Substitute 71 for n
6(71)+2
428

Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?

Answers

Answer:

1 pound of gummy bears = $3.20

1 pound of jelly beans = $7.50

Step-by-step explanation:

1.8 pounds of gummy bears + 0.6 pounds of jelly beans

= $10.26

1.2 pounds of gummy bears + 1.5 pounds of jelly beans

= $15.09

2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26

--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65

(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears

3.3 pounds of gummy bears

= $25.65 - $15.09

= $10.56

1 pound of gummy bears

= $10.56 ÷ 3.3

= $3.20

1 pound of jelly beans

= [$10.26 - ($3.20 × 1.8)] ÷ 0.6

= $4.50 ÷ 0.6

= $7.50

this is a question of algebraic expressions​

Answers

Answer:

p = 2a + 2b

Step-by-step explanation:

The perimeter p is the sum of the 4 sides , then

p = a + a + b + b = 2a + 2b

plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Use DESMOS to plot both lines (attached).

If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler.  Both are straight lines, so we only need two points.

Pick any two values of x and solve each equation for y.  I picked x = 1 and 3

EQ1:  y=2x-2

EQ2:  y=-x+4

Value of y    EQ1  EQ2

           x =1     0       3

           x =3    4        1

Plot the points (1,0) and (3,4) for EQ1.

Do the same for EQ2:  (1,3) and (3,1)

The attached graph shows these points.  Note that one can draw stright lines for both equations using only these two points.

Which expression has both 8 and n as factors?

8 / n 8 + n 8n 8 - n

Answers

Answer:

8n

Step-by-step explanation:

Corrine ran 4 miles in 28 minutes yesterday and
5 1/2 miles in 32 minutes
todoy Did she run
foster today or
yesterday?

Answers

Answer:

Step-by-step explanation:

First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4

4 ÷ 4 = number of miles

4 ÷ 4 = 1 mile

28 ÷ 4 = number of minutes for one mile

28 ÷ 4 = 7 minutes for one mile

Next, you need to divide 5.5 by 5.5 and 32 by 5.5

5.5 ÷ 5.5 = number of miles

5.5 ÷ 5.5 = 1 mile

32 ÷ 5.5 = number of minutes for one mile

32 ÷ 5.5 = 5.81818181818

So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.

All in all, Corrine ran faster today than yesterday.

Hope this helps!

Solve the equation: [tex]x^{2} +5x+6=0[/tex]
I know [tex]x^{2} +5x+6=(x+3)(x+2)[/tex] (that was part a) but I don't know where to go from here!

Answers

Step-by-step explanation:

but then you did already the most work.

because just think : when is the expression

(x+3)(x+2) equal to 0 ?

only, if at least one factor of the multiplication is equal to 0.

you know, for example, 5×0 = 0, or 0×3 = 0.

that means either (x+3) or (x+2) must be 0.

x + 3 = 0

x = -3

and

x + 2 = 0

x = -2

and there you have it.

a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.

and this one here has the 2 solutions

x = -3 and

x = -2

again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !

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