The consumption of asparagus results in the release of methanethiol and S-methyl thioesters metabolites in the urine. To some people, these metabolites have a very distinctive odor, but others cannot detect the odor ("asparagus anosmia"). How common is asparagus anosmia?
In a genetic study aiming to find the genetic markers supporting the phenotype, researchers contacted 6909 participants in a large scientific cohort and found that 4161 had asparagus anosmia. Assuming that the cohort is representative of the American adult population, obtain a 90% confidence interval for the true population of Americans with asparagus anosmia. Use technology, for instance, the 1-PropZInt function in the TI graphing calculator or the Statistics / Proportion / 1-sample function (Confidence Interval tab) on CrunchIt!.
Answer:
The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Researchers contacted 6909 participants in a large scientific cohort and found that 4161 had asparagus anosmia.
This means that [tex]n = 6909, \pi = \frac{4161}{6909} = 0.6023[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 - 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.5926[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6023 + 1.645\sqrt{\frac{0.6023*0.3977}{6906}} = 0.6120[/tex]
The 90% confidence interval for the true population of Americans with asparagus anosmia is (0.5926, 0.6120).
Write an equation of the line in slope-intercept from (answer fast pls )
Y=
Write the decimal in simplest fractional form: -1.375
An ecologist studying differences in populations of a certain species of lizards on two different islands collects lizards in live traps, weighs them, and then releases them again. (She marks them so she won’t weigh the same lizard twice). During one study period, she collects the data below. All weights are in grams. Is there convincing evidence of a difference in the mean weights of the lizards on the two different islands? Use α = 0.05.
Sample Size Mean (gm) Standard Deviation (gm)
Bear Island 34 43.5 5.33
Goat Island 40 45.9 6.21
Answer:
The correct solution is "[tex]t=\frac{43.5-45.9}{\sqrt{\frac{5.33^2}{34} +\frac{6.21^2}{40} } }[/tex]".
Step-by-step explanation:
The given values are:
Bear island:
n1 = 34
[tex]\bar{x_1}[/tex] = 43.5
S₁ = 5.33
Goat island:
n2 = 40
[tex]\bar{x_2}[/tex] = 45.9
S₂ = 6.21
Now,
⇒ [tex]t=\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } }[/tex]
On substituting the given values, we get
⇒ [tex]t=\frac{43.5-45.9}{\sqrt{\frac{5.33^2}{34} +\frac{6.21^2}{40} } }[/tex]
If two different data sets have the same mean, the one with a wider range gives a better representation of its data.
Answer:
if this is a true or false question the answer would be true
The dimensions of a right rectangular prism are 3/2 ft, 1/2 ft, and 2ft. What is the volume of this prism ?
Answer:
v=1.5
Step-by-step explanation:
1.5*0.5*2=1.5
can i have brainliest
Volume of rectangular prism is 1.5 ft³
Given that;
Given prism is a right rectangular prism
Dimension are 3/2 ft, 1/2 ft, and 2ft
Find:
Volume of prism
Computation:
Volume of a rectangular prism = Length × Width × Height
Volume of rectangular prism = [3/2] × [1/2] × 2
Volume of rectangular prism = 6 / 4
Volume of rectangular prism = 1.5 ft³
Learn more;
https://brainly.com/question/12649592?referrer=searchResults
The visibility, in miles, from a certain spot on a hillside can be calculated using the function d=1.8x, where x is the height in feet above the valley floor. Fanon walks through elevations ranging from 16 feet to 25 feet above the valley. What are the minimum and maximum distances that she can see?
Answer:
23 i think im not allway right
Step-by-step explanation:
HELP IM LITERALLY IN CLASS AND IM TAKING A TEST
Given the points (4,-3) and (0, -1), which other point lies on the line?
giving brainliest!’ *easy*
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.7, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.8.
A) What are the mean and standard deviation of the average number of moths x in 60 traps?
B) Use the central limit theorem to find the probability (±0.01) that the average number of moths in 40 traps is greater than 0.4.
Answer:
a) The mean is 0.7 and the standard deviation is 0.1033.
b) 99.11% probability that the average number of moths in 40 traps is greater than 0.4.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
When traps are checked periodically, the mean number of moths trapped is only 0.7, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.8.
This means that [tex]\mu = 0.7, \sigma = 0.8[/tex]
A) What are the mean and standard deviation of the average number of moths x in 60 traps?
60 traps means that [tex]n = 60[/tex]
By the Central Limit Theorem
Mean [tex]\mu = 0.7[/tex]
Standard deviation [tex]s = \frac{0.8}{\sqrt{60}} = 0.1033[/tex]
The mean is 0.7 and the standard deviation is 0.1033.
B) Use the central limit theorem to find the probability (±0.01) that the average number of moths in 40 traps is greater than 0.4.
40 traps means that [tex]n = 40[/tex]
Mean [tex]\mu = 0.7[/tex]
Standard deviation [tex]s = \frac{0.8}{\sqrt{40}} = 0.1265[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 0.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.4 - 0.7}{0.1265}[/tex]
[tex]Z = -2.37[/tex]
[tex]Z = -2.37[/tex] has a pvalue of 0.0089
1 - 0.0089 = 0.9911
99.11% probability that the average number of moths in 40 traps is greater than 0.4.
In 1980 a movie ticket cost $2.50. Now a movie ticket costs about $10.
What is the percent change? Percent increase or decrease?
I
On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
the test and the average fell to 98.04. What is their IQ?
Answer:
59.98
Step-by-step explanation:
To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score s. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for s:
[tex]\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5[/tex]
Let's call the score of the reality TV star r. If we add their score to the set, we now have 12 scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us
[tex]\dfrac{1116.5+r}{12}=98.04[/tex]
We can now solve for r algebraically, first by multiplying both sides by 12:
[tex]1116.5+r=98.04(12)\\1116.5+r=1176.48[/tex]
And then subtracting 1116.5 from both sides:
[tex]r=1176.48-1116.5\\r=59.98[/tex]
Write an equation to represent the hanger.
Explain how to reason to find the value of x.
Answer:
Step-by-step explanation:
In a small sporting good store there are 3 managers, 8
salesmen, and 5 cashiers. If a person is selected at random,
what is the probability that the person is a cashier or a
manager?
Answer:
1/2
Step-by-step explanation:
There are 16 people in total.
Cashiers and managers together total 8 people.
8/16 people are cashiers and managers, which equates to 1/2.
The area of a rectangular sign is 51 square feet. The base of the sign is 6 feet. What is the height of the sign?
A: 7.75 feet
B: 9 feet
C: 8.5 feet
D: 8.75 feet
Answer:
c
Step-by-step explanation:
Which of the following shows the prime factorization of 200 using exponential notation?
Answer:
The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].
Step-by-step explanation:
First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.
1) [tex]\frac{200}{2} = 100[/tex] (Even number)
2) [tex]\frac{100}{2} = 50[/tex] (Even number)
3) [tex]\frac{50}{2} = 25[/tex] (Even number)
4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)
Now, we construct the prime factorization using exponential notation:
[tex]200 = 2^{3}\times 5^{2}[/tex]
The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].
Answer:
2 * 3 * 5
Step-by-step explanation:
made a 100 on the text trust!!!!!
i’m having problems solving this too
Answer and Step-by-step explanation:
Half of them should be plain, so 46 plain bagels .
This is because the first set was split evenly, so that must mean this set should be split evenly as well.
Half of 92 is 46.
#teamtrees #PAW (Plant And Water)
What are the solutions of 3(x - 4)(2x - 3) = 0? Check all that apply.
-4
-3
- 를
c
3
4
Answer:
4 and 3/2
Step-by-step explanation:
[tex]x = 4 [/tex]
[tex]2x = 3 \\ x = \frac{3}{2} [/tex]
HELLLLLPPPPPPPPP PLZZZZZZZZZZZZZZ
Answer:
D :)
Step-by-step explanation:
Because all of them are added by 12 constantly
Answer:
D
Step-by-step explanation:
because it represents 12 + x
1 + 12 = 13
2 + 12 = 14
etc
Round the following to the nearest penny.
2.345
.
Answer:
2.35
Step-by-step explanation:
PLEASE HELP! I REALLY NEED HELP!!!
Answer:
on which one?
PLATO!! Please help!
Cara belongs to a knitting group that meets at the local craft shop. From observations, she has hypothesized that people purchase knitting
needles only if they are also purchasing yarn.
To confirm her thinking, Cara surveyed five people who came into the shop at various times throughout the day and asked them about their
past purchases.
Which of these factors is the most likely to skew the results of Cara's observations?
А. The participants are not randomized.
B. The sample size is too small to represent the population,
C. People have to buy yarn at a craft shop.
D. A control group is needed for an observational study.
Answer:
B. The sample size is too small to represent the population
Step-by-step explanation:
Logically speaking, this is correct because out of an ENTIRE day of customers entering a craft shop, more than 5 people enter the store. Due to this, Cara should've surveyed a larger number of customers.
55" TV: $669 with a 23% markup
Answer:
what is the question?
Step-by-step explanation:
Write a report to the president of the company explaining the meaning of the solutions
Step-by-step explanation:
x is less than -10
x is greater than or equal to 25
Answer:
The negative part of the solution set is ignored, because you cannot produce a negative number of phones.
The company has at least an 80% success rate if the next 25 or more phones that are assembled work.
Because the company has already made 10 phones and 7 are not working, if the next 25 phones work, the 35th phone puts the company at its goal of 80% or more.
Step-by-step explanation:
edge 2021
Help please it says choose all answers that apply
Answer:
x = 1
x = 0
x = 1 1/4
Step-by-step explanation:
x = 1
x = 0
x = 1 1/4
The < sign means less than. -1/4 is less than 1, 0, and 1/4, and more than -3/4 and -1. So, 1, 0, and 1 1/4 are the right answers.
Hope that helps!
-Sabrina
please help me i really need help please
Find the value of x.
Answer:
x = 3
Step-by-step explanation:
The angle is a right angle = 90 degrees
17x + 7 + 9x + 5 = 90°
26x + 12 = 90
-12 -12
26x = 78
/26 /26
x = 3
Hope this helps dude
Evaluate each expression if m= -4, n=1, p = 2, q=-6, r = 5, and t = -2.
|q-2mt|
Answer:
hi
Step-by-step explanation:
9xy + 5y +
What is the length of X
Answer:
37.21
Step-by-step explanation:
try the suggested option (see the attachment), the answer is marked with black colour.
Melany jogged 6 more miles than Zariana. All together they jogged 18 miles last week. How far did each person jog last week. I need answer ASAP please:(
Answer:
Melany jogged 12 miles and Zariana jogged 6 miles.
Step-by-step explanation:
18-12=6
12-6=6
I think that is the answer! GL!!