From a random sample of 16 people in a jail, the number of days remaining in each their sentences was noted. The 16 people have a mean remaining sentence of 645 days with a standard deviation of 31 days. Assume the population of remaining sentences is normally distributed. Construct a 95% confidence interval for the mean remaining sentence of all people in the jail. Round final answer to one decimal place.

Answers

Answer 1

Answer:

The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{31}{\sqrt{16}} = 16.5[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 645 - 16.5 = 628.5 days

The upper end of the interval is the sample mean added to M. So it is 645 + 16.5 = 661.5 days

The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.


Related Questions

BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's width, use a polynomial to represent the rectangle's area in expanded form.​

Answers

Answer:

Step-by-step explanation:

w is the width of the rectangle, then the length would be 4w - 3.

A = lw

A = w(4w -3)

A =4w² - 3w

Hope this helped!!!

I need help with this noww

Answers

Answer:

B) 6/√3

Step-by-step explanation:

It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.

What’s the correct answer for this question?

Answers

Answer: Fourth Choice. -2

Step-by-step explanation:

Given

( -9 | 6 + ( -10 ) | ) / 2 · 3²

Expand (-10) parenthesis

= ( -9 | 6 - 10 | ) / 2 · 3²

Expand  (-9|6-10|) parenthesis

= ( -9 | -4 | ) / 2 · 3²

= ( -36 ) / 2 · 3²

Simplify the denominator and get answer

= -36 / 2 · 9

= -36 / 18

= -2

Hope this helps!! :)

Please let me know if you have any questions

What is the measure of x?

A. 8
B. 9
C. 10
D. 11

Answers

Answer:

A

Step-by-step explanation:

marks lawn care company charges a flat fee of $15, plus $9 per half hour for every job. which equation can be used to find the amount Y that marks lawn care company would charge for a lawn job that takes X hours to complete?
A. Y=15x+18
B. Y=18x+15
C. Y=15x+9
D. Y=9x+15

Answers

Answer:

y= 18x + 15

Step-by-step explanation:

If its 9 dollars per hour than it would be 18 per hour. The independent variable is the how long itll take, and the 15 would be without starting. So it results into B) y=18x+15

Answer:

D. (Y=9x+15)

Step-by-step explanation:

This one was pretty easy to find out using common sense, it can be solved via knowing that the only variable being multiplied is 9, so find 9x+15 and there is your answer.

Wat is a mixed number or whole number: 11/3

Answers

Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

What is one strength that Percy shows in chapter 3

What is one weakness that Percy shows in chapter 3

please answer both questions above correctly please im giving brainliest to the fastest and correct answer

Answers

Answer:

Percy’s strengths is his loyalty to his friend. When he was in danger, he could have escaped and saved his own life. But he showed loyalty by choosing to stay and fight to help his friend. He says, “… there was Grover, needing my help.” Percy’s only weakness in this section is becoming frozen by his fear. When his mother tells him to run, he can’t. The text says, “But I just stood there, frozen in fear, as the monster charged her.”

Step-by-step explanation:

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

Answer:

4 pounds

Step-by-step explanation:

Daria rolls a number cube. What is the probability that it will land on a 1?

Answers

Answer:

1 out of 6 or 16.7%

Step-by-step explanation:

def one out of 6 or 16.7%

5) If the property tax on a $100,000 home is $1500, what is the tax on a
$ 120,000 home?

Answers

Answer:

Calculate property taxes based on assessed value and a tax rate. California property tax calculations with annual assessment increases up to 2% ... Tax Rate: The annual tax rate used to compute your property taxes.

In​ Joe's fish​ tank, there are 7 goldfish and 12 snails. How does the ratio 12​:19 describe​ Joe's fish​ tank?

Answers

Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

Please like and mark brainliest!

Hope it helps!

The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with Sigma = 0.200 kg. Let µ denote the true average weight reading on the scale.

Required:
a. What hypotheses should be tested?
b. With the sample mean itself as the test statistic, what is the P-value?

Answers

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

[tex]$H_0 : \mu = 13 $[/tex]

[tex]$H_a : \mu \neq 13$[/tex]

b). When the value of [tex]$\overline x = 12.84$[/tex]

 Test statics :

   [tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]

  [tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]

          [tex]$=\frac{1.82}{0.04}$[/tex]

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).



The terminal point is how many radius lenghts to the right of the circle's center?
h=

Then, cos−1(h)=

Does the number we get in part (b) give us the correct value of θ? 

Therefore, θ=


Answers

Answer:

hello attached below is the sketch of the missing diagram

a) h = 2

b) cos^-1 ( 2 ) = ∞

c ) θ ≈ 215°

Step-by-step explanation:

a) The length ( h ) to the right of the circles center

= h^2 = ( -1.15)^2 + ( -1.64)^2

∴ h = 2

b) cos^-1 ( 2 ) = ∞

c) The value gotten from b does not give us the value of θ

AB = - 1.64

BC = -1.15

AC = 2

sin^-1 ( - 1.64 / -1.15 )

cos^1 ( -1.15 / 2 ) gives us the value of θ

tan^-1 ( -1.64 / -1.15 )

θ ≈ 215°

Please help me hurry

Answers

Answer:

m<P = 48°

m<Q = 132°

Step-by-step explanation:

Given:

m<S = (14x + 6)°

m<R = (5x + 3)°

Required:

m<P, m<Q

Solution:

✔️First, find the value of x

m<S + m<R = 180° (consecutive angles are supplementary)

14x + 6 + 5x + 3 = 180 (substitution)

Collect like terms

19x + 9 = 180

19x = 180 - 9

19x = 171

x = 171/19

x = 9

✔️m<P = m<R (opposite angles are congruent)

m<P = (5x + 3)° (substitution)

Plug in the value of x

m<P = 5*9 + 3

m<P = 48°

✔️m<Q = m<S (opposite angels are congruent)

m<Q = (14x + 6)°

Plug in the value of x

m<Q = 14*9 + 6

m<Q = 132°

What does n equal?
EASY

Answers

Answer:

n=8/11

Step-by-step explanation:

Answer:

C) n=8/11

Step-by-step explanation:

3/4n=6/11

n=6/11÷3/4

invert and multiply

n=6/11x4/3

n=24/33

n=8/11

Fran has 18 paperback books and 24 hardcover books. What is the ratio of hardcover to paperback books?
WILL GIVE BRAINLIEST
3:4


4:3


3:7


7:3

Answers

The correct answer is 3:4

What is the name of the relationship when a function of the form y = ab^x is
used to fit the data?
A. Correlation
B. Exponential regression
C. Linear regression

Answers

Answer:

Exponential Regression

Step-by-step explanation:

AP3X

The name of the relationship when a function of the form y = abˣ is used to fit the data is, ''Exponential regression''.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ y = abˣ

Now, We know that;

Exponential regression of the equation is of the form,

⇒ y = abˣ

Hence, The name of the relationship when a function of the form y = abˣ is used to fit the data is, ''Exponential regression''.

Option B is true.

Learn more about the function visit:

https://brainly.com/question/11624077

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The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).

Answers

Step-by-step explanation:

A(t)=P(e^(rt))

Insert the values as follows:

The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).

34820=P(e^((.78)(5)))

34830=P(49.4024)

704.82335

Hope that helps :)

Which expression is equivalent to 14y−12?

14(y−2)

−14(y−12)

14(y−12)

−14(y−2)

Answers

Answer:

The answer is 1/4 (y-2)

Step-by-step explanation:

I got the answer correct on my test!

A jar contains black and white jelly beans. What is the probability of reaching into the jar and
selecting a black jelly bean?

Answers

Answer:

50% because there are only 2 colors

Step-by-step explanation:

Answer:50%

Step-by-step explanation:

The probability is 50% or 1/2 because there's only 2 types of jelly bean in the jar unless either one has more amount than the other's

Solve the formula S=43.14r^2 for r.

Answers

Your would be B

Explanation:

What does x equal
3х – 4 = 8 + 2х

Answers

Answer: x = 12

Step-by-step explanation:

First, we have to add 4 on both sides of the equation to combine like terms:

3х – 4 (+4) = 8 (+4) + 2х

3x = 12 + 2x

Now we subtract 2x on both sides of the equation, which leaves x by itself:

3x (-2x) = 12 + 2x (-2x)

x = 12

Which line on the graph represents the information in the table?
A. Line a
B. Line b
C. Line c
D. Line c
First one near with CORRECT answer gets brainless.

Answers

Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b

Please help me with this ASAP ASAP please

Answers

Answer:

r = 16 cm ; l = 34 cm ; LA = 544π cm^2 ; SA = 800π cm^2

Step-by-step explanation:

The volume of the cone can be find with this formula

V = (base area x height)/3

thanks to this formula we can find the base surface

base surface = (V x 3)/height

base surface = (2560π x 3)/30 = 256π cm^2

the formula of the base surface is

base surface = radius^2 x π

so we can find the radius in this way:

radius = √base surface/π

radius = √256π/π = 16 cm

slant height = [tex]\sqrt{radius^2 + height^2}[/tex]

[tex]\sqrt{16^2 + 30^2} =\sqrt{256 + 900} = \sqrt{1156} = 34[/tex] cm

lateral surface = radius x slant height x π = 16 x 34 x π = 544π cm^2

surface area = base area + lateral surface = 256π + 544π =800π cm^2

Subtract 8 1/6- 4 5/6 . Simplify the answer and write as a mixed number

Answers

hello! hope this helps you

Answer: 3 1/3

Step-by-step explanation: You change 8 1/6 to improper fraction which is 49/6 and change 4 5/6 to improper fraction which is 29/6. Next you take 49/6 and subtract 29/6 which is 20/6.After that you simplify 20/6 by divide both sides by 2 which gives you 10/3.Lastly change 10/3 to a mixed number which is 3 1/3.

Hope it helps :) and look at pic below.

Solve for x. -4.5 = -0.5(x – 7.1)​

Answers

Answer:

16.1

Step-by-step explanation:

Answer:

I believe the answer is x = 16.1

Step-by-step explanation:

2 kg 91 g = __________ g

Answers

Answer:

2091 grams

Step-by-step explanation:

1000 g = 1kg

2*1000 = 2000g + 91g = 2091 g

Answer:

2kg 91 g = _2091_ g

Step-by-step explanation:

Conversion factor: 1 kg = 1000 g

1) kg = g / 1000

2) kg = 2091 / 1000

3) kg = 2.09

Which fraction is less?
2/5 or 1/6

Answers

Answer:

1/6

Step-by-step explanation:

convert ti decimal then compare the two

Answer:

Hello There!!

Step-by-step explanation:

1/6 is less.You can check this by 2÷5=0.4 and 1÷6=0.1666666667 so 1/6 is less.

hope this helps,have a great day!!

~Pinky~

A banner measures 5.4 feet long. How long does the banner measure in inches and yards?

Answers

Answer:

64.8 and 1.8

Step-by-step explanation:

The banner measure inches in yards are 64.8 and 1.8.

We have given that,

We have to determine the length does the banner measure in inches and yards.

What is the meaning of inches and yards?

An inch is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to 136 yard or 112 of a foot.

Therefore we get the banner measure inches in yards are 64.8 and 1.8.

To learn more about the length visit:

https://brainly.com/question/2217700

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Select the option that best describes the relationship
between the variables on the scatter plot.
35
positive, linear association
30
25
no association
20
15
positive, non-linear association
10
5
negative, linear association
10
12
Activate Windows

Answers

Answer:

4th one its negative,linear association

Step-by-step explanation:

The option that best describes the relationship between the variables on the scatter plot is negative, linear association.

What is a negative linear association?

Variables have a negative association when the line of best fit is downward sloping. Variables have a linear association when the line of best fit is a straight line. Variables have a positive association when the line of best fit is upward sloping.

To learn more about linear functions, please check: https://brainly.com/question/26434260

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