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.
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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
Which of the following have a value equal to |37|? Select all that apply.
A. –37
B. |–37|
C. 0
D. –(–37)
E. 37
Answers
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
discrimination from teachers to students
Answers
Answer:
agree
Step-by-step explanation:
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answers
Answer:
I need these answers and the ones he put in in the comments are all wrong
I want the answer of this question
Answers
Answer:
42sq . units
Step-by-step explanation:
To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).
Multiply the length and width together to get the area .
Answer: 42 sq. Units
Step-by-step explanation: i got it right.
Hey guys I need help. Care to be kind? :(
Answers
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
...................................
Answers
Answer:
What? lol
Step-by-step explanation:
Answer:
........................?
Step-by-step explanation:
6 times the sum of 12 and 8. Write your answer with no spaces. *
Answers
Answer:
(12+8)x6=120
(>'-'<)
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answers
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
The living room of Ann's house is a square with an area of 121 square feet. What is the length of each side of the foyer
Answers
Answer:
30.25
Step-by-step explanation:
121 divided by 4 is 30.25
f(x) = (2x² – 3)^(-2a? – 9)11
Answers
Answer:
-44ax^2-198x^2+66a+297
Step-by-step explanation:
there
PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answers
Answer:
2 x intercepts
Step-by-step explanation:
math go brrr
Answer: the asnwer is three
Step-by-step explanation: well theres your answer
P1=(-1,3) and P2=(5,-1)
Find the distance from p1 to P2
Answers
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
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Answer:
try 77
Step-by-step explanation:
Please help please
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Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
Which of the following equations is equivalent to 30 = 2 ( -2x + 6
Answers
Answer:
30=-4x+12
Step-by-step explanation:
they both equal -9/2
Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.
Answers
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
Answer:
Step-by-step explanation: Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
Jordan says that 6 ÷ 1/2 =3. Is he correct
Answers
Answer:
No it is 12
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
6 ÷ 1/2 = 12
(1/2 = 0.5)
6 ÷ 0.5 = 12
Check you answer.
0.5 x 12 = 6
So Jordan is incorrect.
The correct answer is 12
Hope this helped :)
Please consider Brainliest :)
Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5
Group of answer choices
1.y = -5x - 24
2.y = 5x + 6
3.y = 5x - 6
4.y = -5x + 24
Answers
Answer:
The answer is y = -5x + 24Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have
[tex]y - 9 = - 5(x - 3) \\ y - 9 = - 5x + 15 \\ y = - 5x + 15 + 9[/tex]
We have the final answer as
y = - 5x + 24Hope this helps you
A train travelled a distance of 1350 kilometers in 15 hours find it,s average speed answer pleaseeeeeeeee fast ,thanks
Answers
Answer:
90
Step-by-step explanation:
1350 divided by 15
What is the solution to the following question 2^ -3x+2=0
Answers
Answer: x= −16
Step-by-step explanation:
Two feet is what percent of one yard?
Answers
Answer:
Step-by-step explanation:
there are three feet in one yard
if you have 2 feet that is 2/3 of a yard
2/3 x 100 = 66.67% or 66.6666666666% repeated if you dont want it rounded.
Answer:
About 66.67%
Step-by-step explanation:
Since 1 yard is 3 ft. we can say 3 ft. is 100%
By this statement we can also say that 1 ft. is about 33.34%
This means that 2 ft. is 66.67%
Hope this Helps!!! :)
Let me know if I should change anything or if it was perfect!
A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?
Answers
Answer:
30b+10v
Step-by-step explanation:
You measure the period of a mass oscillating on a vertical spring ten times as follows:
Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55
Required:
What are the mean and (sample) standard deviation?
a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135
Answers
Answer:
Step-by-step explanation:
Mean is the ratio of sum of the dataset to the sample size. Mathematically:
[tex]\overline x = \frac{\sum Xi}{N}[/tex]
Xi are the individual periods
N is the sample size
[tex]\sum Xi = 1.06+1.31+1.28+0.99+1.48+1.37+0.98+1.31+1.59+1.55\\\sum Xi = 12.92[/tex]
N = 10
Substitute
[tex]\overline x = \frac{12.92}{10}\\\overline x = 1.292[/tex]
hence the mean of the samples is 1.292
For the standard deviation:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{N} } \\[/tex]
[tex]\sum (x-\overline x)^2 = (1.06-1.292)^2+ (1.31-1.292)^2+ (1.28-1.292)^2+ (10.99-1.292)^2+ (1.48-1.292)^2+ (1.37-1.292)^2+ (0.98-1.292)^2+ (1.31-1.292)^2+ (1.59-1.292)^2+ (1.55-1.292)^2\\\sum (x-\overline x)^2 = 0.43996[/tex]
Substitute into the formula:
[tex]\sigma = \sqrt{\frac{0.43996}{10} }} \\\sigma = \sqrt{{0.043996}}} \\\sigma = 0.2098[/tex]
Hence the standard deviation is 0.2098
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Answers
Answer:
24
Step-by-step explanation:
Answer:
R is D
Step-by-step explanation:
Mathematical Expression:
R=D divided by T
For Y=R substitute R with RT:
R=D
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
print 150 copies. How much does it cost the college if a ream, 500 pages, cost
$7.40 each?
Answers
Answer:
$222
Step-by-step explanation:
We need to find how many ream was used in the printing forts, to determine how much the College spent.
The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.
No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.
If 500 pages = 1 realm, therefore,
14,850 pages = 14,850/500 = 29.7.
Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.
If 1 ream costs $7.40, therefore,
30 reams = 30*7.40 = $222
question 6 i mark as brainliest
Answers
last awnser is the awnser
Answer:
the product of the sum is 5 39/40
mathematics help me tx6d6x66ds7cv7f7f77f ui fudidificd 7dyfllxu cub I Jim burgundy gehrig giving
Answers
Answer:
help u with what u didnt attach anything
Step-by-step explanation:
How much dirt is in a hole that is 36 inches long, 2 yards wide , and 6 feet deep ?
Answers
Answer:
96 feet cubed
Step-by-step explanation:
I think it's right. 36 inches to feet, 2 yards to feet, 6 feet
3*6*6
96 I think
Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Answers
Answer:
The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
Step-by-step explanation:
Let X represent the LDL levels.
It is provided that [tex]X\sim N(123, 41^{2})[/tex].
Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:
[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]
[tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
What is the answer to this rebus
Answers
Answer:
rank
Step-by-step explanation:
