A researcher wants to estimate the mean commute time of residents in Westchester County. The researcher samples 40 commuters and find the mean commute time to be 25 minutes. Assume the population standard deviation for commute time is 12.5 minutes. Construct a 90% confidence interval for the mean commute time of residents in Westchester County. What is the Lower Bound of the confidence interval

Answers

Answer 1

Answer:

21.759

Step-by-step explanation:

Given that :

Mean (m) = 25

Standard deviation (s) = 12.5

Sample size (n) = 40

α = 90%

The confidence interval is obtained using the relation:

Mean ± Zcritical * s/sqrt(n)

Zcritical at 90% confidence interval = 1.64

25 ± 1.64 * (12.5/sqrt(40))

Lower boundary : 25 - 1.64(1.9764235) = 21.75866546

Upper boundary : 25 + 1.64(1.9764235) = 28.24133454

(21.759, 28.241)

Hence, lower bound of confidence interval is : 21.759


Related Questions

the diagonal of a square is 3√2 then find its length​

Answers

hope that this answer helps you.

The inequality x S-8 would represent which of the following values?

Answers

S refers to side so it’s 64 = 8x8

Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
Calculate how many pint-sized jars Theresa will need to store 4.5 quarts to pints.
O 5 jars
O 6.5 jars
09 jars
O 12 jars

Answers

Answer:

9 pint sized jars

Step-by-step explanation:

There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.

Answer:

9 jars

Step-by-step explanation:

there are 2 pints in a quart so 4.5x2=9

In a random sample of 300 people in a town, 193 were female. What is the sample portion of female

Answers

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

whats 0.1 as a percent

Answers

Answer:

TO findt he percent move the decimal place to the right 2 times. THis applies for any decimal. Therefore the percent is 0.1--->10%

Step-by-step explanation:

0.1 as a percent would be 10%

✨help✨

Madonna loves records. She has 338 of them. Her grand father gives her some for her birthday. She ends up with 456 after her birthday. At what percent did her grandfather give her. (I know it's a funky question. You have to divide the amount and then round it to the nearest hundred)

Answers

Answer:

34.9%

Step-by-step explanation:

Ok, we need to express this number as a percent of increase. So, what we'll do is write this as a proportion.

456/338 = x/100

456 x 100 = 338x

45600 = 338x

x = 134.911242604

A 34.9% increase

Answer:

17.53%

Step-by-step explanation:

Initial number = 388Final number = 456

Increase in number:

456 - 388 = 68

Increase in percent:

68/388*100% = 17.53% rounded to the nearest hundreds

Which of the following is an arithmetic sequence?
O A. 2, 4, 16, 32,
O B. 5,-5, 5, -5,..
OC. 2,3, 7, 1, ..
OD. 3, 0, -3, -6

Answers

Answer:

D

Step-by-step explanation:

because it has a varying and uniform difference of -3

what is the answer to 5/6 x 4/3

Answers

Answer: 5/6 * 4/3 = 10/9

The Decimal Would Be: 1.111111

Step-by-step explanation:

In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80

Answers

Answer:

60°

Step-by-step explanation:

In an equilateral triangle all sides are equal so as all angles are same,

3 sided fig. 180÷3= 60°

When Margie visited the beach at Key West, she collected 50 seashells. She had 15
smooth shells and 35 shells with ridges. What percent of her shells had ridges?
35
30
70
65

Answers

Answer:

70

Step-by-step explanation:

HELP PLS
analyze the diagram above and complete the instructions that follow.

Answers

Answer:

D

Step-by-step explanation:

answer is on the photo

Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?​

Answers

Answer:

%50

Step-by-step explanation:

hope this helped luv!

Plz help

f(x)=2x+1 Find f(3)

Answers

Step-by-step explanation:

f(3)=2(3)+1

6+1

7

answer is 7

Answer:

f(3)=15

Step-by-step explanation:

just put 3 instead of x

please show work i would appreciate it ​

Answers

Answer:

a) x = 14

b) The perimeter of △QRS is 77 units.

Step-by-step explanation:

a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.

Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.

Hence, △RTV ~ △RQS.

According to the Triangle Proportionality Theorem:

[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]

Hence, we can substitute all values that we know from the diagram:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]

After getting this information, all we have to do is simplify and solve the equation:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]

[tex]3(2x - 2) = 2(2x + 11)[/tex]

[tex]6x - 6 = 4x + 22[/tex]

[tex]6x - 4x = 22 + 6[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

To verify this answer, we can plug in the value of x into the equation:

[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]

[tex]\frac{26}{39} = \frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{2}{3}[/tex]

Hence, after verification, we can get the answer: x = 14.

--------------------------------------------------------------------------------------------------------------

b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.

Hence, 2(14) - 2 + 13 + 17 + 21

= 28 - 2 + 13 + 17 + 21

= 77 units

Therefore, the perimeter of △QRS is 77 units.

Hope this helped!

[IMAGE] please help me with 1, 2, and 3

Answers

Answer:

1. 5n + 10d = 90

2. (18,0)

3. (0,9)

Cells work ALONE and do not depend on each other to function. tRUE oR FaLSEE

Answers

Answer:

False

Step-by-step explanation:

Cells work with each others to perform specific tasks

Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.

Answers

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

Substituting the value of C back into equation(1), we have:

[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Help me out hereeeeeeeeeeeeeeeeee

Answers

Answer: The answer would be the 2nd choice. 2 4/5 is the answer.               Step by-step explanation:

For 1 miles distance : 7/10 of a mile she runs and 3/10 she walks.

For 4 miles distance:(4 times the previous distance) she will run:

4*(7/10)= 18/20 = 2.8

2.8 as a mixed number/fraction is 2 4/5 therefore the answer is 2 4/5.

your statement balance is 600.00 You have an outstanding checks for
125.00 and 175.00. an outstanding debit for 200.00. You also have an
outstanding deposit of 400.00. What is your adjusted balance? *
A.575.00
B.500.00
C.400.00
D.625.00

Answers

Answer:

B

Step-by-step explanation:

600+125+175=900-400(deposit)=500

or

600-125-175-300-200=100+400=500

Brainliest Please :)

Slope for (-5,-1) (5,0)

Answers

Answer:

(0-(-1))/(5-(-5)) = 1/10

Convert Repeating Decimal to Fraction
Convert the repeating decimal to a rational number.
ITEM BANK: Move to Bottom
4936/990
530/900
4311/9900
8099/990
674/990
0.4354 drag and din answer har
0.58 drag and drop wether
0.680 - drag and drop shower bord
4.985 - drag and drop antworten
8.180ding and dan wel

Answers

Step-by-step explanation:

0.345454...... = 4311/9900

0.5888..... = 530/900

0.68080..... = 674/990

4.98585..... = 4936/990

8.18080...... = 8099/990

Which number line best represents the solutions to 7 < -2x + 3?

Answers

Answer:

B or D

Step-by-step explanation:

Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?

Answers

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

34 divided by 523.6




Answer

Answers

Answer:

0.06493506493

Step-by-step explanation:

Answer:

0.064935065

Step-by-step explanation:

What is the measure of angle Y?
60 40

Answers

Answer:

if it is triangle it is 80

Answer all of these
18% of 34
27% of 81
85% of 74
54% of 90
33% of 360
TOPIC
62% of 75
4% of 56
6% of 140
© 12% of 625
5% of 134
Finding a Percent of a
90% of 44
9% of 17
48% of 20
70% of 69
2% of 800
Some doctors recommend that no more than 30% of a
person's daily calones come from fats. Following this
recommendation. If you eat 2,400 calones in a day, what
is the maximum number that should come from fats?
When training for a fight Rocky tries to maintain a heart
rate that is 80% of his maximum heart rate, Rocky has a
resting heart rate of 60 and a maximum heart rate of
175 beats per minute. What is his training heart rate?
mbe

Answers

Answer:

18% of 34  = 6.1227% of 81  = 21.8785% of 74  = 62.954% of 90  = 48.633% of 360  = 118.862% of 75  = 46.54% of 56  = 2.246% of 140  = 8.412% of 625  = 755% of 134  = 6.790% of 44  = 39.69% of 17  = 1.5348% of 20  = 9.670% of 69  = 48.32% of 800  = 16

-------------------------------------

30% of 2400 = 720 calories

--------------------------------------

80% of 175 = 140 beats per minute

50+50+90+90=its a total of=

Answers

Answer:

280

Step-by-step explanation:

50+50=100 plus 90+90= 180 so 180+100=280



A triangular flag has 2 sides with lengths 2 x and 1 side with length x.

A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides.

What is the base of the largest triangular flag Sara can make?

cm.

Answers

Step-by-step explanation:

Perimeter = x + 2x + 2x = 5x

Since 5x <= 46.8cm, x <= 9.36cm.

The largest base is 9.36cm.

Answer:

9.36 is correct

Step-by-step explanation:

PLZ ANSWER IF U KNOW THE ANSWER​

Answers

I think c sorry if I’m wrong

What is the factored form of a quadratic with roots x = 5 and x = -11​

Answers

Answer:

x=5×-11

this is the answer

Answer:

Step-by-step explanation:

X=11

X=-5

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