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3 years ago

100 POINTS!!!

Mathematics

1 answer:

Gre4nikov [31]3 years ago

8 0

Answer:

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The personnel department of a large corporation wants to estimate the family dental expenses of its employees to determine the f

Verizon [17]

Answer:

CI(95%): [205,5;400.8]dolars

Step-by-step explanation:

Hello!

So you need to construct a confidence interval for the average family dental expenses (μ) using the sample given in the problem. To estimate it you need to first choose a statistic. For this small sample, considering that the variable has a normal distribution (I made a quick Shapiro Wilks test, with p-value 0.3234, you can assume normality) the best statistic to use is the Student's t-test.

t= [x(bar)-μ]/S/√n ≈ t₍ₙ₋₁₎

The formula for the confidence interval to estimate the mean is

x(bar)± $t_{n-1; 1-\alpha/2}$ * (S/√n)

The critical value is from a t-distribution with 11 degrees of freedom

± $t_{n-1; 1-\alpha/2} = t_{11; 0.975} = 2.201$

>remember since it's two-tailed, to get the right critical value you have to divide α by 2. So in the text, you received a confidence level of 1-α=0.95 so α=0.05 then α/2=0.025 and 1-α/2=0.975

To construct the interval, you need to first calculate the sample mean and the standard derivation.

Sample

115; 370; 250; 593; 540; 225; 117; 425; 318; 182; 275; 228

n= 12

∑xi = 3638 ∑xi² = 1362670

Sample mean

x(bar): (∑xi)/n = 3638/12 = 303.17 dolars

Standard derivation

S²= 1/n-1*[∑xi²- (∑xi)²/n] = 1/11 * [1362670-((3638)²/12)] = 23614.47 dolars²

S= 153.67 dolars

Confidence interval (95%)

303.17± 2.201* (153.67/√12)

[205,5;400.8]dolars

I hope you have a SUPER day!

3 0

4 years ago

-5(2 – 5n) + 6 = -5n - 34 -02

statuscvo [17]

Answer:

Assuming you're solving for n, 1. n=-1 2. n=-1.6

Step-by-step explanation:

1. -5(2-5n)+6=-5n-34-2

Distributive Property

-10+25n+6=-5n-32-2

Add Like Terms

-4+25n=-5n-34

Subtract -4

25n=-5n-30

Subtract -5n

30n=-30

Divide by 30

n=-1

2. -5(2-5n)+6=-5n-34-20

Distributive Property

-10+25n+6=-5n-32-20

Add Like Terms

-4+25n=-5n-52

Subtract -4

25n=-5n-48

Subtract -5n

30n=-48

Divide by 30

n=-1.6

5 0

3 years ago

Three squares. The first square is labeled with side length 1 inch on the vertical side and 1 inch on the horizontal side. The s

dlinn [17]

Answer:

The area is the side lengths squared or multiplied by themselves. The three squares have very different areas based on their side lengths. I disagree that a square with 13 inch side length will have area 13. It will have area 13*13=169 square inches.

Step-by-step explanation:

The area of a square is A=s*s.

1st: A = 1*1 = 1 square inches.

2nd: A=1/2*1/2 = 1/4 square inches

3rd: A =2*2 = 4 square inches.

The area of a square with 1 unit side length is still 1. But a square whose side is less than 1 has a very small area and the square whose side length is greater than 1 has a much larger area. The area of a square is the square of its side length or its side length times itself.

Knowing this, a square with side length 13 will not have area 13 but area 169.

8 0

3 years ago

After just 4 tenths of a 2.5-mile race was completed, Lenox took the lead and remained there until the end of the race. How many

ivolga24 [154]

Answer:

He lead the race for 1.5 miles

Step-by-step explanation:

4 tenths is equal to 4/10 = 0.4

0.4*2.5 miles = 1 mile

Lenox took the lead after the first mile of the race.

Se he lead the race for

2.5 miles - 1 mile = 1.5 miles

Which is equal to 60% of the whole trajectory.

6 0

3 years ago

What is the start velocity of a javelin accelerated at 3.75 m/s2 for 2 seconds, and reaching 9375 m/s?

Luba_88 [7]

Answer:

Step-by-step explanation:

u = ?

a = 3.75m/s^2

t = 2 s

v = 9375m/s

a = v-u/t

3.75 = 9375 - u / 2

3.75 × 2 = 9375 - u

7.5 = 9375 - u

u = 9375 - 7.5

= 9367.5 m/s

Hope this helps

plz mark as brainliest!!!!!!!

7 0

3 years ago