In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What are the lower and upper limits of a box-and-whiskers display of this data

Answer:

Step-by-step explanation:-1/3(6x+18)+3x+5= -2x - 6 + 3x + 5 = x - 1. QED

Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.

Step-by-step explanation: Checked by Khan Academy

Sample IQR appear to be a biased estimator of population IQR.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR.

She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The IQR of the population is 16.

She then took a random sample of 5 balls and calculated the IQR of the sample.

She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dot plot below, where each dot represents the sample IQR from a sample of 5 balls.

Sample range appears to be a biased estimator since it consistently underestimated the population range.

The sample ranges appear to be centered below 32.

Therefore, the sample IQR is a biased estimator.

To learn more about the biased estimator;

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This question is incomplete, the complete question is;

Data on oxide thickness of semiconductors are as follows: 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416

(a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.)

(b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.)

(c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)

Answer:

a) point estimate of the mean oxide thickness for all wafers in the population is 423.333

b) point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23

c) the standard error of the point estimate from part (a) is 1.88

Step-by-step explanation:

Given the data in the question;

x = 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416.  

a)

To determine the mean;

we sum the total value divided by the sample size.

mean x" =  (425 + 430 + 414 + 419 + ............... + 414 + 416) / 24

mean x'' =   10160/ 24    

mean x" = 423.3333 ≈ 423.333

Therefore; point estimate of the mean oxide thickness for all wafers in the population is 423.333

b)  standard deviation

we can determine the population standard deviation us the formula;

S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / n ]

= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / 24 ]

= √[ 1957.333 / 24 )

S.D(X) = 9.03  

Note, the point of estimate of the variance population is biased estimate.

The unbiased point estimate of oxide thickness for all wafers in the population will be;

S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / (n-1) ]

= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / (24-1) ]

= √[ 1957.333 / 23 )

S.D(X) = 9.225 ≈ 9.23

Therefore, point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23

c) the standard error  

SE (X") = S.D / √n

since the standard deviation is the unbiased estimate for the population, so;

SE (X") = 9.23 / √24

SE (X") = 1.884 ≈ 1.88

Therefore, the standard error of the point estimate from part (a) is 1.88

Answer:

coeficiente, variables, exponentes, y el signo.

Answer:

f = 2.25

Step-by-step explanation:

Given that,

[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]

Adding 3/4 to both sides of the equation.

[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]

So, the value of f is equal to 2.25.

Answer:

396

Step-by-step explanation:

do 2378 ÷ 6 = 396

Step 1. 2378 ÷ 6 = 396

boom answer

Answer:

D. [tex] 9 \sqrt{2} [/tex]

Step-by-step explanation:

Side length of square = Perimeter/4 = 36/4 = 9

Length of diagonal (x)

[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

Answer:

one time.

Step-by-step explanation:

Step-by-step explanation:

(1x+12/5)=18

X=18-12/5

X=15..6

Answer:

hello

Step-by-step explanation:

Answer:

The total money the coach will need for 40 basketballs will be 40 times price of one basketball.

Thus we need to find the price of one basketball.

$27 for 3 basketballs

Thus for one basketball, [tex]\frac{27}{3}[/tex] Which gives us,

'9'.

So for 40 basketballs 40 * $9

Which gives us $360.

The total money needed for sneakers is 7 times the cost of one sneaker.

So, we need to find the cost of 1 sneaker

which is [tex]\frac{90}{5}[/tex]  which gives us,

$18.

Thus total amount of money  needed for sneakers is 9 * $18 which gives us

$162

So total amount the coach has to pay is $360+$162 (total cost of basketballs + total cost of sneakers)

=$552

Therefore, total amount the coach has to pay is $552

Answer:

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Step-by-step explanation:

Answer:

[tex] - \frac{10}{9} [/tex]

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Answer:

Step-by-step explanation:

Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2

Since the horizontal leg is half the hypotenuse, it must be a 30-60-90 triangle, and x° = 30°

Answer:

B

Step-by-step explanation:

Answer:

the answer should be B

Step-by-step explanation:

Answer:

The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Step-by-step explanation:

Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:

[tex]A = \sin^{-1} \frac{3}{7}[/tex]

[tex]A \approx 25.377^{\circ}[/tex]

Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Answer:

674.6

Step-by-step explanation:

If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place

Answer:

wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.

HERES THE CPI CHART FOR IT

Step-by-step explanation:

with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been

b = -8

Hope I helped!!!!!!

Answer:

A

Step-by-step explanation:

Answer:

1. x = 15°

2. y = 12

Step-by-step explanation:

1. Determination of the value of x.

(5x – 5) + 110 = 180 (Adjacent angles add up to 180)

5x – 5 + 110 = 180

5x + 105 = 180

Collect like terms

5x = 180 – 105

5x = 75

Divide both side by 5

x = 75/5

x = 15°

2. Determination of the value of y.

3y – 4 = 2y + 8 (opposite sides are equal)

3y – 4 = 2y + 8

Collect like terms

3y – 2y = 8 + 4

y = 12

Answer: 68p+21

Step-by-step explanation:

Answer:

[tex]d= 3.61\ units[/tex]

Step-by-step explanation:

The points (missing) from the question are:

-2,1 and -5,3

Required

Evaluate [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

In the points given:

[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]

[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]

[tex]d= \sqrt{9 + 4[/tex]

[tex]d= \sqrt{13[/tex]

[tex]d= 3.61\ units[/tex] -- approximated

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Answer:

0.031

Step-by-step explanation:

1-0.973 = 0.027 ≈ 0.03

Answer:

Step-by-step explanation:

area of base = 22in×12in = 264 sq in

Height of tank = volume/(base area) = 3960/264 = 15 inches

Lateral area = 2(22 × 15) + 2(12 × 15) = 660+360=1020 sq in

Surface area = base area + lateral area= 264+1020=1284 sq in

Answer:

The unit price per ounce of flour is

Step-by-step explanation:

We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48

Which is .144791666...