Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make about the population.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 99% confidence interval is [tex]2.4309 < \mu < 4.9328[/tex]
Step-by-step explanation:
From the question we are told that
The data is 3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4
The sample size is n = 11
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
=> [tex]\= x = \frac{3+ 2+5+ \cdots +4 }{11}[/tex]
=> [tex]\= x = 3.6818 [/tex]
Generally the sample standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum [ x_i - \= x ] }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2 }{11} }[/tex]
=> [tex]\sigma = 1.3091[/tex]
Given that the confidence interval is 99% then the level of significance is mathematically represented as
[tex]\alpha= (100 - 99) \%[/tex]
=> [tex]\alpha= 0.01[/tex]
Given that the sample size is small we will making use of t distribution table
Generally from the t distribution table the critical value of at a degree of freedom of is
[tex]t_{\frac{\alpha }{2} , 10 } =3.16927267 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = 3.16927267 * \frac{1.3091 }{\sqrt{11} }[/tex]
[tex]E = 1.251[/tex]
Generally 99% confidence interval is mathematically represented as
[tex]3.6818 -1.251 < p < 3.6818 + 1.251 [/tex]
=> [tex]2.4309 < \mu < 4.9328[/tex]
Related Questions
GRAHAM CORPORATION
Samantha invested in the Graham Corporation. Samantha bought n number of
shares for d dollars and paid a 2% commission to her broker. She later sold the
stock for s dollars and paid a flat fee of $11. A friend of Samantha's, Alex, also
decided to invest in the Graham Corporation. He purchased x dollars worth of
stock on his broker's advice and paid his broker a 1% broker fee.
Part A
Write an expression to model Samantha's net proceeds algebraically. Explain how
you determined the expression.
Answers
Answer:
Net proceed= s-0.98nd-11Step-by-step explanation:
Given that the shares cost $d
n shares will be =$dn
paid 2% commission to her broker= (2/100)*nd= 0.02nd
sold the share for $s
paid a fee of $11
Her net proceeds algebraically will be
Net proceed= s-nd-11-0.02nd
collect like terms
Net proceed= s-(nd-0.02nd)-11
Net proceed= s-0.98nd-11
Austin has $12 in his piggy bank and deposits 75 cents each week. Daniel has has $15 and deposits 50 cents each week
Answers
Answer:
whats the question?
Step-by-step explanation:
1. Amy Lynn's Kitchen offers a breakfast
special. Customers have a choice of fried,
poached, scrambled, or soft-boiled eggs;
bacon or sausage; hash browns or grits; and
cornbread or biscuits. How many breakfast
combinations does Amy Lynn serve?
F. 8
G. 10
H. 16
J. 32
Answers
Answer: F
Step-by-step explanation: Amy lynn's kitchen offers a variety of breakfast specials, there are four choices for customers to choose from, but each choice has a combination. Which makes it 8 combinations Amy Lynn' serves
X+2/8=4-x/5 please hurry I’m in a rush
Answers
Wrap
Step-by-step explanation:
xsamksa
Compare the proportional relationships. Which represents the greatest price per pound of walnuts
Answers
Answer:
B. Weight
Price
The price per pound of walnuts is the slope or unit rates of the graphs, lines and equations
The greatest price per pound of walnuts is $14.00
(a) Cost of 1.5 bags is $12.99
The unit rate is calculated as:
[tex]\mathbf{Rate = \frac{Cost}{Bags}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{\$12.99}{1.5}}[/tex]
[tex]\mathbf{Rate = \$8.66}[/tex]
The price per pound of walnuts is $8.66
(b) The table
From the table, we have the following points
[tex]\mathbf{(x,y) =(0.2,2.80)\ (0.4, 5.60)}[/tex]
The unit rate is calculated as:
[tex]\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{5.60 - 2.80}{0.4 - 0.2}}[/tex]
[tex]\mathbf{Rate = 14}[/tex]
The price per pound of walnuts is $14.00
(c) The graph
From the table, we have the following points
[tex]\mathbf{(x,y) =(0,0)\ (1, 11)}[/tex]
The unit rate is calculated as:
[tex]\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{11 - 0}{1 - 0}}[/tex]
[tex]\mathbf{Rate = 11}[/tex]
The price per pound of walnuts is $11.00
By comparison, the greatest price per pound of walnuts is $14.00
Read more about rates at:
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Find the square root of each number.
40=
Answers
Answer:
6.32455532034
is the square root of 40
HELP!!!!
Solve x=9w−3z−15 for w. Do not write w= in your answer.
Answers
Answer:
Your answer is: x/9 + z/3 + 5/3
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Help now plz
4/9-2/18
Answers
Answer:
The answer would be 6/18 or 3/9
Step-by-step explanation:
Answer:
if dividing...0.3
if multiplying...0
Step-by-step explanation:
An SEO account manager is concerned website developers are using too many keywords per web page. The SEO account manager would like to carry out a hypothesis test and test the claim that a web page has, on average, more than 10 keywords. Why is this hypothesis test right-tailed
Answers
Answer:
The hypothesis test is right tailed because of claim made by SEO account manager that a web page on average has more than 10 keywords.
Step-by-step explanation:
The given hypothesis test is right tailed due to the claim made by SEO account manager. The tail of hypothesis test decided by looking at alternative hypothesis. The claim stated as " a web on average has more than 10 keywords" and this leads to alternative hypothesis as
Ha:μ>10.
The alternative hypothesis shows the greater than area or also known as right tailed area. Thus, given hypothesis test is right tailed.
American Black Ducks migrate a great distance every year. A typical bird will travel 2,739 miles in 33 days. Which of the following best represents this trip with a constant unit rate of travel? 7.4A
Answers
Answer:
Rate of travel = 83 miles per day
Step-by-step explanation:
Given:
Total distance = 2,739
Number of days = 33 days
Find:
Rate of travel
Computation:
Rate of travel = Total distance / Number of days
Rate of travel = 2,739 / 33
Rate of travel = 83 miles per day
Unpredictable numbers that are distributed over a certain range are ____.
A. Random numbers
B. Random equations
C. Random formulas
D. Tables of formulas
Answers
Answer:
random numbers
Step-by-step explanation:
because they are randomly picked
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
What is random experiment?Random experiments are repeated multiple times to determine its likelihood.
The number of times an experiment is repeated is better described as number of trials.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Now, Unpredictable numbers that are distributed over a certain range are random numbers because they are randomly picked.
Unpredictable numbers that are distributed over a certain range are _Random numbers_.
To Learn more about Random numbers, click here;
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I need an answer asap!!!!!!
What is (4 4/7) divided by 1/2?
Answers
Answer:
9.14285714286
Step-by-step explanation:
i dont know if you need to round it but heres the answer (hasnt been rounded)
PLZ HELP!!!!!
how can 28/8 be a decimal?
Answers
Answer:
What is 28/8 as a decimal you ask? Converting the fraction 28/8 into a decimal is very easy.
To get 28/8 converted to decimal, you simply divide 28 by 8. Don't worry. You don't need to get the calculator out, because we did this for you.
28/8 as a decimal is:
3.5
The sum 51 + (-37) is equal to what? -14 88 88 14
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 and it's postive
Kevin bought a used guitar at a garage sale for $150. He fixed it up and sold it for $200. What was the percent increase?
(Need explanation to show my work)
Answers
Answer:
33.3
Step-by-step explanation:
You need to divide 200 and 150 to get you 4/3. Then you will have to _____________________________
A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the length is 11 V2 cm or less.
Required:
a. If the probability of this has to be less than 0.01, what is the maximum allowable standard deviation?
b. Assuming this standard deviation, what is the probability that the product’s length will be between 11.75 and 12.35 cm?
Answers
Answer:
a) σ = 0,1612
b) P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
Step-by-step explanation:
NOTE: I assume the unusable length s 11,5 and less
a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) = -3,1 then:
- 3,1 = ( X - μ₀ ) / σ
- 3,1 = (11,5 - 12 )/ σ
-3,1 = - 0,5 / σ
σ = 0,1612
b) If σ = 0,1612
P [ 11,75 < X < 12,35]
z₁ (score) = ( 11,75 - 12 ) / 0,1612
z₁ = - 0,25/ 0,1612
z₁ = -1,55
From z table P [ 11,75 < X] = 0,0606
z₂ (score) = ( 12,35 - 12) / 0,1612
z₂ = 0,35 / 01612
z₂ = 2,17
From z table P [ X < 12,35] = 0,9850
Finally P [ 11,75 < X < 12,35] = 0,9850 - 0,0606
P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
How many pies are there if someone eats 2 and then someone else eats 4 then I eat 13? We started with 200 pies.
Answers
Answer:
183
Step-by-step explanation: 13+4=17 200-17=183
Answer:
181
Step-by-step explanation:
Angela is playing with red and black marbles. The number of red marbles she has is three
more than twice the number of black marbles she has. She has 42 marbles in all. Which
system of equations can be used to find the number of red marbles, R, and black marbles, B?o
Answers
Answer:
We will need two equations, one that adds up to the total number of marbles, and the other which writes one type of marbles in terms of the other.
For the first equation we know that:
[tex]r + b = 42[/tex]
For the second we are told that "The number of red marbles she has is three more than twice the number of black marbles she has."
So we simply translate this into an equation being:
[tex]r = 2b + 3[/tex]
George rented a bike to tour a nearby park. The charge to rent the bike is a flat rate of $10.75 plus $4.50 per each hour that he spends riding the bike. How much did George pay if he was riding for 3 1 fourth hours?
Answers
Answer: $25.38
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246
Answers
Answer:
Explained below.
Step-by-step explanation:
Consider the data provided.
(a)
Compute the mean of the data in seconds as follows:
Mean =AVERAGE(array)
= 225.280 seconds
(b)
Compute the median of the data in seconds as follows:
Median =QUARTILE.EXC(array,2)
= 229 seconds
(c)
Compute the variance of the data in seconds as follows:
Variance =VAR.S(array)
= 1148.043 seconds
(d)
Compute the standard deviation of the data in seconds as follows:
Standard deviation =STDEV.S(F2:F26)
= 33.883 seconds.
(e)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.755 minutes.
(f)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.817 minutes
(g)
Compute the variance of the data in minutes as follows:
Variance =VAR.S(array)
= 0.319 minutes
(h)
Compute the standard deviation of the data in minutes as follows:
Standard deviation =STDEV.S(F2:F26)
= 0.565 minutes.
What is the value of y=-1/2x +5
Answers
There are three possible answers
Slope = -1.000/2.000 = -0.500
x-intercept = 10/1 = 10.00000
y-intercept = 10/2 = 5
If this is helpful please mark brainliest. Have a great day
PLEASE HELP!!! ALGEBRA! For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answers
Answer:
( c + a + s) = 5000
(10c + 20a + 15s) = 72000
c = 3s
Step-by-step explanation:
Number of tickets sold = 5000
Proceeds from ticket Sale = $72,000
Tickets for children 16 and younger = $10
Adults = $20
seniors 60 and older = $15
Let :
number of children, c ;
adults, a;
seniors, s,
There were 3 times more children than seniors at the concert ; c = 3s
Total number of attendees = 5000 ;
( c + a + s) = 5000
Total proceeds or revenue
(10c + 20a + 15s) = 72000
I NEED THIS ANSWER QUICK PLEASE!!!!!!!!!!
During the first hour of a snowstorm, 1 2/8 inches of snow fell. In the next hour, 4 3/8 inches fell. In the third hour, the snow stopped and 1 inch of snow melted. How much snow was on the ground at the end of the third hour?
Answers
Answer:
1 + 4 = 5
4/8 +3/8 = 7/8
5 7/8 - 7/8 = 5 inches left on the ground after 3 hours
Step-by-step explanation:
A cougar jumped a distance of 13 yards. How many inches did this cougar jump?
Answers
Answer:
468 in
Step-by-step explanation:
Step 1: Define conversions
3 feet = 1 yard
1 foot = 12 inches
Step 2: Use dimensional analysis
[tex]13 \hspace{3} yards(\frac{3 \hspace{3} feet}{1 \hspace{3} yard} )(\frac{12 \hspace{3} inches}{1 \hspace{3} feet} )[/tex] = 468 inches
What is the largest integer less than 15?
F. 6
G. 5
H. 4
J. 3
K. 2
Answers
Answer:
isn't it just 6
Step-by-step explanation:
The largest integer less Than 15 according to the options given is 6.
Integer are real numbers which are expressed as whole numbers.
From the options given, since all the values are integers, then the appropriate answer will be the largest of the integer values.
The largest value is 6.
Hence, 6 is the appropriate answer.
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Question Help
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 20 min. If the current in
that part of the river is 4 km per hr, what was her boat speed in still water?
Her boat speed in still water was km per hr.
Answers
Answer:
The speed of the boat is 20 km/hr
Step-by-step explanation:
Let s be the speed of boat in still water
Let d be the distance
Upstream speed = s-4
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.
So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]
Downstream speed = s+4
So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]
So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]
30s-120=20s+80
10s=200
s=20
Hence The speed of the boat is 20 km/hr
Alondra is training for a 5 mile race. The table below shows how many strides Alondra takes as she builds up to running 5 miles. How many strides will Alondra take to run 4 miles? Exercise Log Miles 1 2 4 5. Strides 2,640 5,280 13,200
Answers
Answer:
7920
Step-by-step explanation:
If Megan's tuition, fees, and expenditures for books this year total $19,000, what will they be during her senior year (three years from now),
assuming costs rise 7 percent annually? Round Future value of a Single
Amount in intermediate calculations to four decimal places.
Answers
Answer:
$23,275.817
Step-by-step explanation:
To get this answer, multiply 19,000 by 1.07.
$19,000 x 1.07 = 20,330 (one year later)
$20,330 x 1.07 = $21,753.10 (two years later)
$21,753.10 x 1.07= $23,275.817 (three years later)
The answer round to cents would be $23,275.82
What polyhedron can be assembled from this net? Explain how you know.
Find the surface area of this polyhedron. Show your reasoning.
Answers
Answer:
It would be a triangular prism.
Step-by-step explanation:
We know this because of the two triangles at the top and bottom of this net and the rectangle connecting them. Then, if you imagine folding the second rectangle up, it would be one of the triangle's sides. Lastly for the third rectangle, it would be folded over the two triangles to finish the shape.
I hope this helps!!
Answer:
It would be a triangular prism
Step-by-step explanation:
If they ask how you got that say since the triangles at the top and bottom are both parell and to be a prim you need to have parell sides
HELPPPPPPPPPPPPPPPPPPP
Answers
Answer:
15
Step-by-step explanation: