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A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 100 is selected and is used to estimate H. Use z-table.
a. What is the probability that the sample mean will be within +/- 6 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal
places.)
Answers
Answer:
Probability =0.9898
Step-by-step explanation:
Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898
Related Questions
A scale drawn on a map represents 1 inch to be equal to 28 miles. If two cities are 2 3/4 in. apart on the map, what is the distance between them in real life? A. 49 mi. B. 77 mi. C. 56 mi. D. 63 mi.
Answers
28x2 then the remaining 3/4 equals to 21 miles so add first to inches then the remaining. 28+28+21=77
Answer: i got it right the answer is 77
Step-by-step explanation:
Kaylee is decorating a ballroom ceiling with garland. If the rectangular ceiling is 20 meters by 48 meters, how much garland will Kaylee need to reach from one corner of the ceiling to the opposite corner?
Answers
Answer:
960
Step-by-step explanation:
pls help im so confused find m
Answers
Answer:
i think it is 47
Step-by-step explanation:
A plane going through points B, C, and E slices this rectangular prism. What is the shape of the cross section? Trapezoid Qaudrilateral Triangle Rectangle
Answers
Answer:
triangle
Step-by-step explanation:
Answer:
The answer is triangle.
Step-by-step explanation:
JUST CONNECT THE POINTS! You can clearly see that it's a triangle. Am on this question rn.
Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).
Answers
Answer:
[tex]Degree = 3[/tex]
Step-by-step explanation:
Given
[tex]k(x) = x + 1[/tex]
[tex]m(x) = x - 4[/tex]
[tex]n(x) = x + 5[/tex]
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
Required
The degree of f(x)
First, calculate f(x)
[tex]f(x) = k(x) * m(x) * n(x)[/tex]
[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]
Expand
[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]
[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]
Further Expand
[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]
Collect like terms
[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]
[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]
The degree of f(x) is the highest power of x.
Hence:
[tex]Degree = 3[/tex]
What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?
A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)
Answers
Answer:
B: (2,-4)
Step-by-step explanation:
x-2=0
x=2
y+4=0
y=-4
A bag contains 5 apples, 4 peaches, and 3 oranges. What is the probability of choosing an apple?
Answers
please ????? help mdjshd
Answers
Help me :( I will give you Brainlist if you get it right!
Answers
Answer:
I think C
Step-by-step explanation:
sorry if I'm wrong
D i answered this one on khan.
What is the probability of the spinner NOT landing
on a vowel? *
1. 0.67
2. 1
3. 0.33
4. 4
5. 0
Answers
Answer:
it's a 2/3 chance of landing on it but there are 4 non vowels. so I assume the answer is 4
Solve the following polynomial equation by grouping and factoring. 4y^3 – 9y=0 Enter the exact answers. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. y =
Answers
Answer:3/2
Step-by-step explanation:
Plzzzz answer fast..
Answers
Answer:
D) LM=12; QP=8
Step-by-step explanation:
12/18=(x-1)/(x+3)
cross multiply
12x+36=18x-18
36+18=18x-12x
54=6x
9=x
LM = x+3 = 9+3 = 12
QP = x-1 = 9-1 = 8
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
4 and 6
1 and 7
Answer choices
18
25
30
40
Please help no links I will report
Answers
Because is 40% and is ok most 50%
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53Can someone please help
Answers
Answer:
The answer is 12 times
Step-by-step explanation:
6 x 12 = 72
112 - 72 = 40
40/5 = 8
12 + 8 = 20 times
so the answer is 12 ;)
Please help me answer this. I’ll give a reward. To who every answers it correctly.
Answers
Answer:
66
Step-by-step explanation:
55+59 =114
180-114=66
Let f(x)=x^2-6 and g(x)=7x
Please help thank you
Answers
Since plugging in x makes the equations stay the same, just add f(x) and g(x)
x^2 - 6 + 7x
Solution: x^2 + 7x - 6
A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air pollution. If more than 313 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels.
Required:
a. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels.
b. What is the type II error probability β if 75% of the voters favor this action?
Answers
Answer:
[tex]\alpha=0.11767[/tex]
[tex]\beta=0[/tex]
Step-by-step explanation:
From the question we are told that:
Population size size [tex]N=500[/tex]
Sample mean [tex]n=313[/tex]
Null hypothesis [tex]H_0:P=0.6[/tex]
Alternative hypothesis[tex]H_a:P>0.6[/tex]
Generally the equation for for P value is mathematically given by
[tex]P=\frac{n}{N}[/tex]
[tex]P=\frac{313}{500}[/tex]
[tex]P=0.6[/tex]
Generally the mean [tex]\=x[/tex] is mathematically given by
[tex]\=x=np\\\=x=500*0.6[/tex][tex]\=x=300[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.6*(1-0.6)}[/tex]
[tex]\sigma=10.95[/tex]
a)
Generally the probability of Type_I error [tex]P(X>313)[/tex] is mathematically given as
[tex]P(X>313)=P(\frac{x-\mu}{\sigma}>\frac{313-300}{10.95} )[/tex]
[tex]P(X>313)=P(z>1.187 )[/tex]
Therefore using z table
[tex]\alpha=0.11767[/tex]
b)
Null hypothesis [tex]H_0:P=0.75[/tex]
Alternative hypothesis[tex]H_a:P>0.75[/tex]
Generally the probability of Type_II error [tex]P(X<313)[/tex] is mathematically given as
[tex]P=0.75,n=500\\q=1-0.75\\q=0.25[/tex]
Generally the mean [tex]\=x'[/tex] is mathematically given by
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=500*0.75[/tex]
[tex]\=x'=375[/tex]
Generally the standard deviation [tex]\sigma[/tex] is mathematically given by
[tex]\sigma=\sqrt{npq}[/tex]
[tex]\sigma=\sqrt{500*0.75*(1-0.75)}[/tex]
[tex]\sigma=9.68[/tex]
Therefore
[tex]P(X<313)=P(\frac{x-\mu}{\sigma}<\frac{313-375}{9.68} )[/tex]
[tex]P(X<313)=P(z<-6.405)[/tex]
Therefore from standard normal table
[tex]P(X<313)=0[/tex]
[tex]\beta=0[/tex]
Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step
Answers
Answer:
All terms separated by 6 so #20 = 4 + 6 * 19 = 118
(if the first term were 6 instead of 4 the 20th would be 120)
Also, #10 = 58 and #11 = 64 (you can use the same reasoning)
The 1st and 20th term add to 4 + 118 = 122
The 2nd and 19th add to 10 + 112 = 122
Likewise 10th and 11th add to 58 + 64 = 122
So 10 * 122 = 1220
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
i think 120
Step-by-step explanation:
Step-by-step explanation:
by using Pythagoras theorem,
AB^2+BC^2=CA^2
9^2+12^2=x^2
81+144=285
answer=(285)^2=16.88
nearest tenth is 20
PLEASE HELP ME ........
Answers
Answer:
I can´t see...
Step-by-step explanation:
Type the correct answer in each box.
y у
&
X
1000
Z
1500
The three interior angle measures of this triangle are x=
y=
, and z=
Reset
Next
2021 Edmentum. All rights reserved.
Answers
Answer:
x = 30°
y = 70°
z = 80°
Step-by-step explanation:
[tex]x = 180 \degree - 150 \degree = 30 \degree \\ \\ z = 180 \degree - 100 \degree = 80 \degree \\ \\ y = 180 \degree - (30 \degree + 80 \degree ) \\ \\ y = 180 \degree -110 \degree \\ \\ y = 70 \degree[/tex]
Write 0.015 in a standard form
Answers
Answer:
the answer is 1.5 x 10-2 that's what I got
please I need the answer with justification
Answers
Answer:
a. 1/12
Step-by-step explanation:
I'm not 100% sure but...
The odds of the coin landing on tails is 1/2
The odds of the dice landing on 3 is 1/6
1/2 * 1/6 = 1/12
.....................................
Answers
Answer:
Step-by-step explanation:
The slope of the line is 4/3.
The value of y when x = 0 is -7.
Equation of line:
y = (4/3)x - 7
20 20 PTS ,.,.,.,.,.,,
Answers
Answer:
number 2 i think
Step-by-step explanation:
Solve. -52 +63 +(-41) = 0 8 16. 5 3 Done
Answers
Answer:
No Solution
or -30
Step-by-step explanation:
Answer:
-30
Step-by-step explanation:
-52 + 63 (-41)
=-30
The function g(x) = 20,000(1.20)* represents the population of a rapidly growing
city x years after the year 2000.
What does the value g(10) - g(9) represent in terms of the given context?
A. The population was 103,196 people in 2009
B. The population was 123,835 people in 2010
C. There was an increase of 20,639 people from 2009 to 2010.
D. There was an increase of 227,031 people from 2009 to 2010.
Answers
32
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Lett
represent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6.
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answers
Answer:
I believe it would be 4 seconds
Step-by-step explanation:
PLATO/Edmentum
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6h(t) 24 48 24 0 24 48 24The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
[tex]f(48)=t_{up}\\f(48)=1[/tex]
The time it takes to reach downward after going upward is,
[tex]f(0)=t_{down}\\f(0)=3[/tex]
Coming back to initial potion,
[tex]f(24)=t_{i}\\f(24)=4[/tex]
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
What is 7x^2-5 can u pls tell me I need help