Answer:
700
Step-by-step explanation:
A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.
Answer:
a
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
b
The 95% confidence interval is [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The first sample mean is [tex]\= x_1 = 11.4[/tex]
The first standard deviation is [tex]s_1 = 2.5[/tex]
The second sample mean is [tex]\= x_2 = 9.9[/tex]
The second standard deviation is [tex]s_2 = 3.0[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]
=> [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]
=> [tex]z = 2.3[/tex]
From the z table the area under the normal curve to the left corresponding to 2.3 is
[tex]P( Z > 2.3 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 2.3 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.02[/tex]
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to show that there is a difference between the performances of these two models
Considering question b
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 normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]
=> [tex]E = 1.96 * \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}} [/tex]
=> [tex]E = 1.276 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]( \= x_1 - \= x_2) -E < \mu_1 - \mu_2 < ( \= x_1 - \= x_2) + E [/tex]
=> [tex]( 11.4 - 9.9 ) -1.276 < \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276 [/tex]
=> [tex] 0.224 < \mu_1 - \mu_2 < 2.776 [/tex]
Mike has a collection of baseball cards and baseball figurines. If the ratio of cards to figurines is 5:7 and there are 25 cards in his collection, how many figurines does he have
Answer:
35 figurines
Step-by-step explanation:
if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.
5*5:7*5= 25:35
so there are 35 figurines
40 Points answer fast
I will mark brainliest answer quickly
A carton has a length of fraction 2 and 1 over 4 feet, width of fraction 1 and 3 over 5 feet, and height of fraction 2 and 1 over 3 feet. What is the volume of the carton?
A: 4 and 1 over 3 cubic feet
B: 4 and 2 over 5 cubic feet
C: 8 and 1 over 4 cubic feet
D: 8 and 2 over 5 cubic feet
Answer:
c
Step-by-step explanation:
hope it helps
Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?
Answer:
Interest charged over two years: $20
Total amount: $220
Step-by-step explanation:
The formula for simple interest is A = P ( 1 + rt ).
A = 200 ( 1 + (0.05 * 2))
A is the total amount ( interest + principle )
A = 220
P is the principle ( initial amount deposited )
P = 200
R refers to rate (in percent)
R = 0.05
T = time period (in years)
T = 2
You want to buy 4 pens, each costing 27 cents. How many dollar bills should you take to the store? im not in college btw lol
Answer:
108c so 2 dollar bills.
Step-by-step explanation:
Solve the equation. Then check your solution.
- 2/5 + a = 1/5
a. 3/5
b. - 1/5
c. 3/10
d. - 3/5
Answer:
3/5 is the correct answer of the question
Answer:
The answer is
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Let's solve this equation!
[tex] - \frac{2}{5} + a = \frac{1}{5} \\ \frac{ + \frac{2}{5} \: \: \: \: \: \: = + \frac{2}{5} }{a = \frac{3}{5} } [/tex]
x =0, y>=0 Maximum for P =3x +2y
Answer:
day
Step-by-step explanation:
6th grade and the final grade for this semester and the
A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the group, how many students are standing in pach row?
A. 4
B 6
C. 8
D 12.
Answer:
B..im pretty sure
Step-by-step explanation:
First it cant be D because 12 x __ = 64. There is no whole number multiplied by 12 that equals 64. So cross that out. then it's not B because 6 x ___ = 64. So also cross that out. the only thing u have left is 4 and 8. Then u can cross out A because the group of students has to be the same number of rows. Which is 8 x 8 aka B. The answer is B
Answer:
B
Step-by-step explanation:
assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.
Answer:
72.9%
Step-by-step explanation:
Given that :
27.1% of all possible observation of a certain variable are less than 17 ;
That is ;
Let variable = y ;
Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271
Proportion that lies to the right :
P(y > 17) = 1 - P(y < 17)
P(y > 17) = 1 - 0.271
P(y > 17) = 0.729 = 72.9%
Coach Coleman is ordering thigh and knee pads for the football players. There are 20 players. Thigh pads come in packs of 2 and knee pads come in packs of 4. What is the least number of packs of thigh and knee pads can he order so that none will be left over?
Answer:
100 or 80
Step-by-step explanation:
I HAD A SIMILAR QUESTION.
I'M SORRY IF ITS WRONG.
Estimate 32% of 19.
Answer: 6.08.
Explanation: 32% × 19 = 6.08.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
4x + 6 < -6
plz show ur work ♡
Answer:
The answer is x<−3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
4x+6−6<−6−6
4x<−12
Step 2: Divide both sides by 4.
[tex]\frac{4x}{4} =\frac{-12}{4}[/tex]
x<−3
Can someone please help me ?
Answer:
Option c is correct
Step-by-step explanation:
Y =mx+c
Where m=2/3
c= 8/3
Answer:
the third option is the right answer
Step-by-step explanation:
y = mx+c
m is the slope
c is the y-intercept
compare the below equations:
[tex]y = mx + c[/tex]
[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]
[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]
find the angle measure of minor arc MP.
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
30 degrees
Step-by-step explanation:
arc measure in degrees is twice the measure of the inscribed angle
99+99x=0 how to solve this
Step-by-step explanation:
99+ 99x = 0
99 = - 99x
x = - 99/99
x = -1
Hope it helps :)
Answer:
X = -1
Step-by-step explanation:
99 + 99x = 0
99x = -99
x = -99/99
x = -1
If Tim has 2/3 pizza to share with 6 friends how much does he friend get
Answer:
Each friend gets 1/9th of the pizza.
Step-by-step explanation:
Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.
Question 2 (5 points)
(01.01 LC)
Which rational number equals 0 point 1 with bar over 1? (5 points)
Question 2 options:
1)
1 over 11
2)
1 over 10
3)
1 over 9
4)
1 over 8
Answer:
3. 1 over 9 is the correct answer
Answer:
option 3 is correct.
hope it helps
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?
Answer:2
Step-by-step explanation:
.9x+6.8
.65x+7.3
Find x by graphing it
Whoops wrong question
What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.)
b + b – 1 + b + b + 10 = __b + 9
Answer:
4.
Step-by-step explanation:
lets just say the unknown is x.
[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]
Hope this helps :D
please help
2×1,000+9×100+5×1+1×1100+3×11,000
2×1,000+9×10+5×110+1×1100+3×11,000
2×1,000+9×10+5×1+1×110+3×11,000
Answer:
37005
36740
35205
Step-by-step explanation:
Is this a function?
Answer:
It isn't a function.
Step-by-step explanation:
Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.
A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?
Answer:
Scalene Triangle
Step-by-step explanation:
A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.
Please help i’m giving out brainliest || Q1
the answer would be a I'm my mind
Here we go someone help me with this!
Answer:
I think they are-
Step-by-step explanation:
I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-
What is the equation of the line shown in the graph below? *
Answer:
y=1/2x−2
Step-by-step explanation:
if you find the 2 point that touch the y and x-axis on the graph, (4,0) and (0,-2), and put it in y=mx+b formula, you get the answer.
Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)
Answer:
3 - 30+15
Step-by-step explanation:
take the outside number and multiply it by each individual number in the parenthesis one at a time
Find the slope of the line that passes through the pair of points.
4. (1, 6), (6, -1)
7
a.
5
b.
5
7
c.
7
5
d.
5
7
Answer:
-7/5
Step-by-step explanation:
plz help! will give brainliest!
Answer:
B
Step-by-step explanation:
The graph shows 3 spaces up every our on the y axis I hope this helped you! im very good at these so I can help is u have more questions! can I have brainliest? I was the first
Answer: 3 miles per hour
Step-by-step explanation:
looking at the graph you have (1,3) (2,6) and (3,9) and everytime its multiplying by 3... 1x3=3 , 2x3=6, 3x3=9
Therefore, your answer is 3 miles per hour
I need the answer ASAP
Answer:
the are is 14
brainliest??
Step-by-step explanation:
Answer:
48ft
Step-by-step explanation:
Hope this helps. :)
(3x + 5) (x - 2)
Multiply?
Answer:
[tex]3x^2-x-10[/tex]
Step-by-step explanation:
This equation cannot be simplified by much, so, the final answer is still an equation, [tex]3x^2-x-10[/tex].
Hope this helped! :)
Answer:
Here,
(3x+5)(x-2)
=3x^2-6x+5x-10
=3x^2-x-10
=3x^2-6x+5x-10
=3x(x-2)+5(x-2)
=(3x+5)(x-2)