Donner Summit, California, is a popular ski resort area. Over the past 60 years, the annual snowfall totals of Donner Summit have followed a distribution that is strongly skewed right with a mean of 404 inches and a standard deviation of 129 inches. If many samples of size 9 were taken, which of the following would best describe the shape of the sampling distribution of xbar

Answers

Answer 1

Answer:

This sampling distribution will only reflect the nature of its population distribution (strongly skewed right because the sample size of each sample, 9, is way less than the sample size of 30 required for the sampling distribution to be approximately normal) with mean 404 inches and standarddeviation of sampling distribution equal to 43 inches.

Step-by-step explanation:

The Central limit theorem explains that for an independent, any random set of sample taken from such a population distribution will have a distribution that is approximately normal (provided that the sample size is large enough) with the mean of sampling distribution also approximately equal to the population mean and the standard deviation of the sampling distribution is given as

σₓ = (σ/√n)

where

σ = population standard deviation

n = sample size

To work these out,

Mean of sampling distribution = population mean

μₓ = μ = 404 inches

Standard deviation of the sampling distribution = σₓ = (σ/√n)

σ = population standard deviation = 129 inches

n = sample size = 9

σₓ = (129/√9) = 43 inches.

For most databases, the 'large enough' criteria for the sampling distribution to be approximately normal is a sample size of about 30 and it gets closer as the sample size becomes larger.

The sample size in the question is 9 which is way less than 30, hence, this sampling distribution will only reflect the nature of its population distribution (strongly skewed right) with mean 404 inches and standarddeviation of sampling distribution equal to 43 inches.

Hope this Helps!!!

Answer 2

Answer:

Answer:answer is D The shape is skewed right but less so than the population distribution.

Step-by-step explanation:

Related Questions

Solve this equation -9-6+12h+40=22 A. h=24 B. h= -4/7 D. h= -4
Order these from least to greatest
The test scores of a geometry class are given below.90, 75, 72, 88, 85 The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance?
5 books and 9 magazines cost $150.50 altogether. 9 books and 5 magazines cost $175.70. How much does 1 book and 1 magazine cost?
A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Findthe rate of decline caused by the antibiotic.

Connecting a DVD player to a television set requires a cable with special connectors at both ends. You buy a six-foot cable for $15.50 and a three-foot cable for $10.25. Assuming that the cost of a cable is the sum of the cost of the two connectors and the cost of the cable itself, what is the cost of a four-foot cable?

Answers

so a 3 foot cable is10.25
a 6foot cable is 15.50
so
x=cost per foot
y=cost of special connectors
3x+y=10.25
6x+y=15.50
make first equation negative and add to the first
3x=5.25
divide both sides by 3
1.75=x
so it costs 1.75 for a foot of cable

subtitue into first equation
3(1.75)+y=10.25
5.25+y=10.25
subtract 5.25 from both sides
y=5 dollars=cost of special so
4x+y=4(1.75)+5=7+5=$12

so the cost of a 4 foot cable is $12

What is the discriminant of the quadratic equation 2x + 5x2 = 1?–18
–16
22
24

Answers

Answer:

Step-by-step explanation:

the discriminant of the quadratic equation $2x + 5x^2 = 1$

Write the equation in the form of ax^2 +bx+c=0

$2x + 5x^2-1=0$

$5x^2+2x-1=0$

To find out discriminant we use formula

$b^2-4ac$

From the given equation the value of a=5, b= 2 and c=-1

Now we plug in the values in the formula

$b^2-4ac=2^2-4(5)(-1)=24$

Answer:

Step-by-step explanation:

From this equation the value of a=5, b= 2 and c=-1

Now we plug in the values in the formula

What is the factored form of x^3-1?

Answers

Answer:

$(x-1)(x-((-1-i√(3))/(2)))(x+((-1+i√(3))/(2)))$

Step-by-step explanation:

Given equation : $f(x)=x^3-1$

To write it's factored form :

⇒ $x^3-1=0$

⇒ $(x-1)(x^2+x+1)$

⇒ $(x-1)(x-((-1-i√(3))/(2)))(x+((-1+i√(3))/(2)))$

⇒ $x=1,x=(-1-i√(3))/(2)),x=(-1+i√(3))/(2)$

⇒ $x=1,(-1-i√(3))/(2),(-1+i√(3))/(2)$

the factored form of of the expression x³ - 1 is (x - 1)(x² + x + 1).

What are the factors of the expression?

Given the expression in the question:

x³ - 1

To factor the expression x³ - 1, we use the difference of cubes formula.

It states that:

a³ - b³ can be factored as (a - b)(a² + ab + b²).

x³ - 1

First, rewrite the expression as:

x³ - 1²

Here, we identify 'a' as x and 'b' as 1.

Applying the difference of cubes formula, we get:

a³ - b³ = (a - b)(a² + ab + b²)

x³ - 1² = ( x - 1)(x² + x + 1²)

Simplify:

x³ - 1² = ( x - 1)(x² + x + 1)

Therefore, the factored form is ( x - 1)(x² + x + 1).

Learn more about difference of cubes formula here: brainly.com/question/30759853

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Answers

varies directly means
if y varies directly as x that means
y=kx where k is a constant

so
y=kx
y=2 and 2/3 when y=1/4 then find k
convert 2 and 2/3 to imporoper fraction for ease
2 and 2/3=6/3+2/3=8/3

8/3=k(1/4)
multiply both sides by 4/1 to clear fraction
32/3=k

so now we have
y=(32/3)x

when x=1 and 1/8
find y
convert 1 and 1/8 to imporopor=9/8

y=(32/3)(9/8)
y=(288)/(24)
y=12

The slope of line m is 7/8. If n⊥m, what is the slope of line n? A) 7/8
B) 8/7
C) -7/8
D) -8/7

Answers

$k:y=m_1x+b\nl:y=m_2x+c\n\nl\ \perp\ k\iff m_1m_2=-1$
We have:
$m_1=(7)/(8);\ m_2=?$
Substitute:
$(7)/(8)m_2=-1\ \ \ \ |\cdot(8)/(7)\n\nm_2=-(8)/(7)$
Answer: D)

Hey there !

When two lines are perpendicular , the product of their slope is -1 ,

m1 × m2 = -1
7/8 × m2 = -1

m2 = -8/7 Ans.

(5x2 + 2x + 11) - (7 + 4x - 2x2)9 - 2x - 2x2
3x2 - 2x + 4
3x2 + 6x + 4
7x2 - 2x + 4

Answers

The answer is 7x^2 - 2x + 4, so answer D.

Your answer should be D!

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Please help, I'll mark brainliest.