Complete Question
Find the range for the population mean value with 95% and 65% confidence intervals for each set of data.
[tex]\= x_1= 3.611 \ cm[/tex], [tex]\sigma_1=0.02\ c m[/tex], [tex]n_1=24[/tex],
[tex]\=x_2=3.632 \ cm[/tex], [tex]\sigma_2=0.06 \ cm[/tex], [tex]n_2= 17[/tex]
Answer:
The range for the population mean value with 95% confidence intervals for the first set of data is
[tex]2.602 <\mu < 2.619[/tex]
The range for the population mean value with 95% confidence intervals for the second set of data is
[tex]2.601 <\mu < 2.661[/tex]
The range for the population mean value with 65% confidence intervals for the first set of data is
[tex]2.605 <\mu< 2.617[/tex]
The range for the population mean value with 65% confidence intervals for the second set of data is
[tex]2.611 <\mu < 2.6526[/tex]
Step-by-step explanation:
Generally the range for the population mean value with 95% confidence intervals for the first set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df = n_1 -1[/tex]
=> [tex]df = 24 -1[/tex]
=> [tex]df = 23[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 23} = 2.068[/tex]
Generally the margin of error is mathematically represented as
[tex]E_1 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_1 }{\sqrt{n_1} }[/tex]
=> [tex]E_1 = 2.068 * \frac{0.02}{\sqrt{24} }[/tex]
=> [tex]E_1 = 0.00844 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_1 -E_1 < \mu < \=x_1 +E_1[/tex]
[tex]2.611 - 0.00844 < \mu < 2.611 + 0.00844[/tex]
=> [tex]2.602 <\mu < 2.619[/tex]
Generally the range for the population mean value with 95% confidence intervals for the second set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df_2 = n_2 -1[/tex]
=> [tex]df_2 = 17 -1[/tex]
=> [tex]df_2 = 16[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 16} = 2.12 [/tex]
Generally the margin of error is mathematically represented as
[tex]E_1 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_2 }{\sqrt{n_2} }[/tex]
=> [tex]E_2 =2.12 * \frac{0.06}{\sqrt{17} }[/tex]
=> [tex]E_2 = 0.03085 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_2 -E_2 < \mu < \=x_2 +E_2[/tex]
[tex]2.632 - 0.03085<\mu < 2.632 + 0.03085[/tex]
=> [tex]2.601 <\mu < 2.661[/tex]
Generally the range for the population mean value with 65% confidence intervals for the first set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df = n_1 -1[/tex]
=> [tex]df = 24 -1[/tex]
=> [tex]df = 23[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 65 ) \%[/tex]
=> [tex]\alpha = 0.35[/tex]
Generally from the t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 23} = 1.3995 [/tex]
Generally the margin of error is mathematically represented as
[tex]E_3 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_1 }{\sqrt{n_1} }[/tex]
=> [tex]E_3 = 1.3995 * \frac{0.02}{\sqrt{24} }[/tex]
=> [tex]E_3 = 0.00571 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_1 -E_3 < \mu < \=x_1 +E_3 [/tex]
[tex]2.611 - 0.00571 <\mu < 2.611 + 0.00571[/tex]
=> [tex]2.605 <\mu< 2.617[/tex]
Generally the range for the population mean value with 65% confidence intervals for the second set of data is mathematically evaluated as follows
Generally the degree of freedom is mathematically evaluated as
[tex]df_2 = n_2 -1[/tex]
=> [tex]df_2 = 17 -1[/tex]
=> [tex]df_2 = 16[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 65 ) \%[/tex]
=> [tex]\alpha = 0.35[/tex]
Generally from the t distribution table the critical value of at is
[tex]t_{\frac{\alpha }{2} , df = 16} = 1.41930 [/tex]
Generally the margin of error is mathematically represented as
[tex]E_4 = t_{\frac{\alpha }{2} , df = 23} * \frac{\sigma_2 }{\sqrt{n_2} }[/tex]
=> [tex]E_4 =1.41930 * \frac{0.06}{\sqrt{17} }[/tex]
=> [tex]E_4 = 0.020653 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x_2 -E_4 < \mu < \=x_2 +E_4[/tex]
[tex]2.632 - 0.020653<\mu < 2.632 + 0.020653[/tex]
=> [tex]2.611 <\mu < 2.6526[/tex]
PLZZ HELP!Will mark brainliest
What graph represents the piecewise-defined function?
y={6 if x≤-3 3 if -3
Answer:
Step-by-step explanation:
wheres the graph
Answer:
we cant see graph...
Step-by-step explanation:
so we cant give u an answer so sorry...
which statement about a right triangle is true?
a b c or d?
(See Image)
Answer:
B
Step-by-step explanation:
You solve for the length of a side of a triangle using the pythagorean theorem, which states that a^2 + b^2 = c^2.
A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective? Roll a die four times Flip a coin twice Flip a coin four times None of the above
Answer:
The answer is "Flip a coin twice".
Step-by-step explanation:
The probability, that its damage would be (HH, TT, HT, TH) if two of the TVs were selected, that's why the answer is "Flip a coin twice" is the correct.
In City A, the temperature rises F from 8 A.M. to 9 A.M. Then the temperature drops F from 9 A.M. to 10 A.M. In City B, the temperature drops F from 8 A.M. to 9 A.M. Then the temperature drops F from 9 A.M. to 10 A.M. Write an expression that represents the change in temperature from 8 A.M. to 10 A.M. for each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in temperature? Which expression represents the change in temperature for City A?
Here is the full question.
In city A, the temperature rises 9° F from A.M to 9 A.M. Then the temperature drops 8°F from 9 A.M. to 10 A.M. in city B, the temperature drops 1°F from 8 A.M. to 9 A.M. Then the temperature drops 3°F from 9 A.M. to 10 A.M.
Write an expression that represents the change In temperature from 8 A.M. to 10 A.M for each city. Simplify and interpret each sum. Use a pencil and paper. Which expression represents the change in temperature for city A?
Answer:
In City A, the expression for the change in temperature is = 9 + (-8)
The amount the temperature changes for City A = 1°F
In City B, the expression for the change in temperature is -1 + (-3)
The amount the temperature changes for City B = -4°F
Thus, City A has a greater change in temperature.
Step-by-step explanation:
From the information above; Given that:
In City A, the rise in temperature from 8 A.M to 9 A.M is = 9°F
In City A, the drop in temperature from 9 A.M to 10 A.M = 8°F
Similarly;
In City B, the drop in temperature from 8 A.M to 9 A.M = 1°F
In City B, the drop in temperature from 9 A.M to 10 A.M = 3°F
∴
For City A
The temperature change from 8 A.M to 10 A.M are :
8 A.M to 9 A.M = +9°F
9 A.M to 10 A.M = -8°F
In conclusion, The sum for the change from 8 A.M to 10 A.M = 9 + (-8) = 1°F
For City B
The temperature change from 8 A.M to 10 A.M are:
8 A.M to 9 A.M = -1°F
9 A.M to 10 A.M = -3°F
In conclusion, The sum for the change from 8 A.M to 10 A.M = -1 + (-3) = -4°F
5.) A small bat can eat up to 1,000 mosquitos in an hour. How many mosquitoes can a small
bat eat in 20.4 hours? Express your answer in scientific notation.
lopum no shindeu he no vinciedique
I neeed help !!!!! :( someone help mee
Explanation:
If y is the short leg of the 30-60-90 triangle, then y*sqrt(3) is the length of the longer leg. The short leg is always opposite the shortest angle.
We're given that 5*sqrt(3) is the longer leg, so
y*sqrt(3) = 5*sqrt(3)
y = 5
After we divide both sides by sqrt(3)
Side note: x = 2y = 2*5 = 10.
[tex] \LARGE{ \underline{ \pink{ \sf{Required \: answer:}}}}[/tex]
Heya mate!
If you observe the figure, the longest side always resides the opposite place of the right angle. Accordingly the perpendicular is 5√3 units in measure.
With this, the hypotenuse is x and the base is y. We need to find y. By doing some smart work! Let's guess the trigonometric ratio that we give us the relation between y and 5√3 because one of the angle given is 60°
⇛ tan a = Perpendicular / Base
Plugging the values of a, and Perpendicular to find the base of the triangle i.e. y.
⇛ tan 60° = 5√3 / y
⇛ √3 = 5√3 / y
⇛ y = 5√3 / √3
⇛ y = 5 units
Hence, the Correct Option is Option A.
Maria rides her bicycle a distance,d, of 40 meters. If her riding time,t, is 10 seconds, what is her rate of speed, r, in meters per second?
A. 1/400
B. 1/4
C. 4
B. 400
Answer: C
Step-by-step explanation:
i had this question and got t right with C
pls help meh i don’t have time
PLEASEE HELP ME i can’t do i eill give brainlist
Answer:
3 people per table with a 4 every once in awhile. There is 24 tables. Each table has a candle. Each table has 2 balloons. The most you can make using all of the supplies is 24 table
Answer:
8
Step-by-step explanation:
You just need to find the number that can divide all the numbers evenly.
I hope this makes sense and I hope this is correct.
Suppose there are 15 freshman, 16 sophomores, 10 juniors, and 12 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions
Answer:
Number of ways = 140,556
Step-by-step explanation:
Total person = 15 + 16 + 10 + 12
Total person = 53
Number of not included bperson = 3
Computation:
Number of ways = !53 / !(53-3)
Number of ways = 53 x 52 x 51
Number of ways = 140,556
6. What data are represented by the stem-and-leaf plot below? A stem and leaf plot is shown.To the left of a vertical line are the numbers 1, 2, 3, and 4. · On the same row as the number 1 but on the right side of the vertical line are the numbers 3, 4, and 6. · On the same row as the number 2 but on the right side of the vertical line are the numbers 1, 2, 8, and 9. · On the same row as the number 3 but on the right side of the vertical line are the numbers 0, 2, 4, and 4. · On the same row as the number 4 but on the right side of the vertical line is the number 5. A key identifies that 1 vertical line 3 means 13. (1 point) 13, 14, 16, 11, 12, 38, 39, 30, 32, 34, 34, 35 13, 24, 36, 11, 22, 38, 49, 10, 22, 34, 44, 45 31, 41, 61, 12, 22, 82, 92, 3, 23, 43, 43, 54 13, 14, 16, 21, 22, 28, 29, 30, 32, 34, 34, 45
Answer:
the answer is D i will soon do all of the questions
Step-by-step explanation:
the reason its d is because all of the answers beside D do not match the leaf and steam picture but yea
If you do not see a number next to a variable, what is it understood to be?
Jules owns a square plot of land that measures 30
yards on each side. He plans to divide the land in half
by building a fence, as shown by the dotted line below.
How many yards of fencing will Jules need?
O 15 yd
O 30 yd
O 3073 yd
D
30 yd
O 303 yd
Mark this and return
Save and Exit
Next
Answer:
Jules would need 30 yards of fencing.
The yards of fencing that would be needed is 30√2 yards.
What is the length of the square?
In order to determine the length of the fence, the Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:
a = length
b = base
c = hypotenuse
30² + 30²
= 900 + 900
= √1800
= 30√2 yards
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
what is the Y intercept
y= 4x - 9
Answer:
b = –9
Step-by-step explanation:
First, refer to the slope-intercept formula:
y = mx + b
In this formula, m is the slope and b is the y-intercept.
That means in y = 4x – 9, the b variable is –9, which is the y-intercept.
Answer: the answer is A. because the y intercept is -9.
F is directly proportional to a . If F = 42 when a = 7 find, F when a = 3
Answer:
24?
Step-by-step explanation:
Among students in the sixth grade: 54% are girls.23 are boys.How many students are in the sixth grade?
Answer:
There are 50 Students.
Step-by-step explanation:
I did:
100 - 54 = 46
46 ÷ 23 = 2
2 students = 1%
54 ÷ 2 = 27
23 boys + 27 girls = 50 students
On Monday 6.324 cm of rain fell; 7.85 cm fell on Tuesday. How much rain fell during the two days? Round your answer to the nearest tenth.
Answer:
14.1 cm
Step-by-step explanation:
5 4/5-3 1/3,whoever can help I will mark brainleist
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{2 \: \frac{7}{15} }}}}[/tex]
Step-by-step explanation:
[tex] \tt{5 \frac{4}{5} - 3 \frac{1}{3} }[/tex]
Convert the mixed number into improper fraction
[tex] \tt{↦ \: \frac{5 \times 5 + 4}{5} - \frac{3 \times 3 + 1}{3} }[/tex]
[tex] \tt{↦ \: \frac{25 + 4}{5} - \frac{9 + 1}{3}} [/tex]
[tex] \tt{ ↦ \: \frac{29}{5} - \frac{10}{3} }[/tex]
While performing the addition or subtraction of unlike fractions , you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction. Now,
Take the L.C.M of 5 and 3
prime factors of 5 = 1 × 5
prime factors of 3 = 1 × 3
L.C.M = Common factors × Remaining factors
= 1 × 5 × 3
= 15
[tex] \tt{↦ \frac{29 \times (15 \div 5)}{15} - \frac{10 \times (15 \div 3)}{15} }[/tex]
[tex] \tt{↦ \: \frac{29 \times 3}{15} - \frac{10 \times \: 3 }{15} }[/tex]
[tex] \tt{↦ \: \frac{87}{15} - \frac{30}{15}} [/tex]
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \tt{ ↦ \: \frac{87 - 30}{15} }[/tex]
[tex] \tt{↦ \: \frac{37}{15} }[/tex]
Convert the improper fraction into mixed fraction.
[tex] \tt{↦ \boxed{ \tt{ 2 \frac{7}{15} }}}[/tex]
And we're done!
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
The Probability distribution table shows the proportion of people living in five different regions of a city. What is the probability that a person chosen at random, who lives in the city, lives in the central or north region.
The probability that a person chosen at random, who lives in the city, lives in the central or north region is 0.56
What is the probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, the Probability distribution table shows the proportion of people living in five different regions of a city
Probability = Favourable Outcomes/Total Outcomes
Probability(of selecting a person from central or north region) = 0.44 + 0.12 = 0.56
Hence, probability that a person chosen at random, who lives in the city, lives in the central or north region is 0.56
For more references on probability, click;
https://brainly.com/question/11234923
#SPJ2
40% of the students at Wilson
Middle School said they would go
trick-or-treating this year. If 300
students said they were going to
trick-or-treat, how many students
attend the school?
A) 750
B) 120
C) 850
N 75
Answer:
A
Step-by-step explanation:
40% of 750 is 300 you can confirm this because 75 is 10% of 750 and 75 * 4 = 300.
b is (4,-10) and c is (10,-4) what is the length of bc ? Explain with full detail ! Pls
Answer:
m=1
Step-by-step explanation:
y=mx+b
m = y 2 − y 1/ x2 − x 1
m = − 4 − ( − 10 )/ 10 − ( 4 )
m = − 2 − 5 ⋅ − 1/ − 1 (− 5 + 2 )
m = 3 − 1 /( − 5 + 2 )
Add
− 5 and 2
m = 3/ − 1 ⋅ − 3
Multiply
− 1 by − 3
m = 3/ 3
Divide 3 by 3 .
m = 1
Hope this helps!
Are the ratios equivalent? Explain
Answer:
How am I supposed to answer that with no picture or answers? :s
Step-by-step explanation:
Whats the answer ill give brainliest for best explained answer
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is choice C it's the only one that actually touches point (0, -7) and increases after that point.
Graph 1:
If we take a look at graph 1 we see that it does cross the y-axis at (0,-7), but sadly it doesn't increase.
Graph 2:
If we take a look at graph 2 we see that it does cross over y-axis but not at (0,-7). It also doesn't increase but that doesn't matter anymore.
Graph 3:
If we take a look at graph 3 we see that it crosses the y-axis at (0,-7) and it also increases. Although it decreases before it doesn't matter, it only has to increases after it hits (0,-7).
To buy a car Tom borrows $14,000 at 11% compound interest calculated monthly for 5 years. Find the total amount to be paid back (round to the nearest cent).
Answer:21,700
Step-by-step explanation:
Find the value of x in the triangle shown below.
34°
50
estimate quotient 4,558 divided by 43
Answer:
106
Step-by-step explanation:
A car travels 81 miles in 2 hours. How would this be written as a rate?
Which expression DOES NOT represent a square root of a perfect square integer?
A)
V100
B)
V64
C)
V81
D)
189
Simplify the expression.
(4х5) (5x6)
A new one-year membership at RecPlex costs $160. A registration fee of $28 is paid up
front, and the rest is paid monthly. How much do new members pay each month
Answer:
160 x 28
Step-by-step explanation: