a survey of 25 grocery stores revealed that the average price of a gallon of milk was $2.98, with a standard error of $0.10. what is the 98% confidence interval to estimate the true cost of a gallon of milk? $2.85 to $3.11 $2.73 to $3.23 $2.95 to $3.01 $2.94 to $3.02
Answers
The 98% confidence interval to estimate the true cost of a gallon of milk is $2.73 to $3.23.
What do you mean by standard error?The standard error is a measure of the variability or spread of a set of sample values. In statistics, the standard error is used to quantify the precision of an estimate of a population parameter, such as the mean or standard deviation. It is calculated as the standard deviation of the sampling distribution of a statistic, usually the mean. The standard error is a useful measure because it provides a way to compare different estimates of a population parameter, and it can be used to construct confidence intervals, which provide a range of values within which the true population parameter is likely to lie with a specified degree of confidence.
The 98% confidence interval to estimate the true cost of a gallon of milk can be calculated using the following formula:
CI = (sample mean) ± (critical value) * (standard error)
Where critical value can be obtained from a standard normal distribution table, corresponding to a given level of confidence.
For 98% confidence, the critical value is 2.33.
CI = $2.98 ± 2.33 * $0.10 = $2.98 ± $0.23 = $2.73 to $3.23
Therefore, the 98% confidence interval to estimate the true cost of a gallon of milk is $2.73 to $3.23
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Related Questions
T/F. Exception reports show a greater level of detail than is included in routine reports.
Answers
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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A soda bottling company needs to test the quality of the bottles they produce. They have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line. Random Stratified Cluster Systematic Convenience
Answers
The sampling technique used in this scenario is Random sampling
The correct answer is an option (a)
We know that the random sampling is nothing but a method of choosing a sample of observations from a population to make assumptions about the population. It is also called as a porbability sampling.
It allows for the randomization of sample selection.
There are four random sampling methods –
simple random sampling,
systematic sampling,
stratified sampling,
and cluster sampling.
In random sampling, the randomized selection of a small segment of individuals or members from a whole population.
Here, the soda bottle company have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.
Therefore, the sampling technique used: Random
The correct answer is an option (a)
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The complete question is:
Select the sampling technique used:
A soda bottling company needs to test the quality of the bottles they produce. They have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.
a) Random
b) Stratified
c) Cluster
d) Systematic
e) Convenience
|y|≥=4.5 help please
Answers
Answer:
it may be answer
Step-by-step explanation:
i have tried my best
Factorize completely:
x² + 4x² - 23x²+6
Thank you
Answers
Answer:
6(-3x^2+1)
Step-by-step explanation:
Combine like terms
-18x^2+6
Factor out common term
6(-3x^2+1)
Warm-Up
o
Which are solutions of the equation (x + 5)(x - 3) = 0? Check all that apply.
O x= -15
O x= -5
O x= -3
O x= 2.
O x= 3
O x = 5
Answers
Explanation:
x = -5
(-5 + 5)(-5 - 3) = 0
(0)(-8) = 0
0 = 0 TRUE
x = 3
(3 + 5)(3 - 3) = 0
(8)(0) = 0
0 = 0 TRUE
(Also, could I have brainliest please?)
I need help with this please
Answers
B.) 0.8415
factorise
answer is (a+c) (ca-b²)
Answers
Answer:
Step-by-step explanation:
PIC BELOW
PLEASE HELP!! ITS JUST FINDING THE AREA!
Answer question one please
Answers
all you need to do is multiply 11 1/2 and 8 1/2. You do not need to include the area of the door because it is inside the wall’s area already.
11 1/2 * 8 1/2 = 97.75 sq ft
97.75 sq feet is less than 100 sq feet, so Amelia will have enough paint left.
how many three-digit multiples of 3 can be written using numbers 1,3,5,9 if all digits are different?
Answers
===========================================================
Explanation:
We have four values to pick from {1,3,5,9} and we want to form a three-digit number.
Kick one of those values out, let's say we kick out "9" at the end to get the subset {1,3,5}.
The sum of these remaining values is 1+3+5 = 9 which is a multiple of 3. Therefore three-digit numbers that have any order of 1,3,and 5 will be a multiple of 3.
Eg: 135/3 = 45 exactly.
There are 3*2*1 = 6 such numbers as shown at the very bottom of this solution post.
This is a permutation since the order matters.
Let A = 6 so we can use it later.
----------------
Go back to {1,3,5,9}
Now let's say we kicked "5" out this time.
We go from {1,3,5,9} to {1,3,9}
The digits sum to 1+3+9 = 13 which is not a multiple of 3
No matter how we arrange these digits, we won't get a multiple of 3.
Eg: 139/3 = 46.33 approximately
----------------
Let's go back to {1,3,5,9}. This time we'll kick out "3" from the group.
{1,3,5,9} shrinks to {1,5,9}
Add the values: 1+5+9 = 15 which is a multiple of 3.
Therefore, we get 6 more permutations (refer to the first section for similar steps). Let B = 6 so we can use it later.
Example: 159/3 = 53 exactly
-----------------
Return back to {1,3,5,9} once more. We have one final value to kick out.
Let's remove the "1" to end up with {3,5,9}
Add the values: 3+5+9 = 17 which isn't a multiple of 3, so we ignore this sub-case. It's similar to the 2nd section shown above.
-------------------
Each previous section had us remove exactly one value to have 3 digits leftover. This is a methodical way to guarantee we have looked through all possible cases.
The first case had us kick out 9 so that a permutation of {1,3,5} led to some multiple of 3. There were A = 6 cases for that section.
The third section had {1,5,9} which led to B = 6 more cases.
In total, there are A+B = 6+6 = 12 different three-digit numbers possible if we are only allowed to use {1,3,5,9} without repeats allowed. In other words, all three digits must be different.
-------------------
Check:
Here are the first 6 cases involving 1,3,5
number = 135number = 153number = 315number = 351number = 513number = 531Here are the other 6 cases involving 1,5,9
number = 159number = 195number = 519number = 591number = 915number = 951what is 47 times 23 ?
Answers
Answer:
1081
Step-by-step explanation:
Answer:
1,081 its this number
A poll agency reports that 38% of teenagers aged 12-17 own smartphones. A random sample of 120 teenagers is drawn. Round your answers to at least four decimal places as needed.a) Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45b) Find the probability that less than 45% of sampled teenagers own smartphonesc) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?
Answers
The probability of 0.0475 is less than 0.05, so it is unlikely to happen. Hence, it would be unusual if less than 30% of the sampled teenagers owned smartphones.
a) Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45b) Find the probability that less than 45% of sampled teenagers own smartphonesc) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?a)Find the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45We know that the proportion of teenagers aged 12-17 who own smartphones is 0.38. Now, we need to find the probability that the proportion of sampled teenagers who own smartphones is between 0.35 and 0.45.The sample size is 120.Let P be the probability that a teenager has a smartphone. The population mean is P = 0.38, while the standard deviation is σ =√((P (1 - P)) /n).P (0.38) and n (120) are given, so σ is calculated as follows:σ=√((P (1 - P)) /n) =√((0.38 (1 - 0.38)) /120) =√((0.38 × 0.62) /120) =0.048Now, let us define the Z scores for both sides, i.e. for 0.35 and 0.45.z1 = (0.35 - 0.38) /0.048 = -0.625z2 = (0.45 - 0.38) /0.048 = 1.458Hence, P(0.35 < p < 0.45) is equal to P(-0.625 < z < 1.458).The probability can be calculated using standard normal tables, which gives 0.5763. Therefore, the probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45 is 0.5763.b) Find the probability that less than 45% of sampled teenagers own smartphonesLet P be the probability that a teenager has a smartphone. The population mean is P = 0.38, while the standard deviation is σ =√((P (1 - P)) /n).P (0.38) and n (120) are given, so σ is calculated as follows:σ=√((P (1 - P)) /n) =√((0.38 (1 - 0.38)) /120) =√((0.38 × 0.62) /120) =0.048Now, let us define the Z score as follows:z = (0.45 - 0.38) /0.048 = 1.458We must find the probability that a randomly selected teenager from the sample has less than 0.45 probability of owning a smartphone. This probability can be calculated using a standard normal table. P(z < 1.458) = 0.9265, thus, the probability that less than 45% of sampled teenagers own smartphones is 0.9265.c) Would it be unusual if less than 30% of the sampled teenagers owned smartphones?For this, we need to find the Z-score of 0.30.z = (0.30 - 0.38) /0.048 = -1.667The probability is obtained using a standard normal table. The probability is 0.0475. The probability of 0.0475 is less than 0.05, so it is unlikely to happen. Hence, it would be unusual if less than 30% of the sampled teenagers owned smartphones.
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If the total surface area of a cube is 302.46 in², which best describes the length of an edge of the cube?
Answers
The length of the edge of the cube with the given total surface area is 7.1 inches.
What is total surface area?The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a form with a curved base and surface is equal to the sum of the two areas.
Let us suppose the length of an edge of the cube = l.
The total surface are of the cube is given as:
TSA = 6l²
Substituting TSA = 302.46 we have:
302.46 = 6l²
l² = 50.41
l = 7.1 in.
Hence, the length of the edge of the cube with the given total surface area is 7.1 inches.
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Answer two questions about Equations A and B:
A.
5x = 3.2
B.
5=3
1) How can we get Equation B from Equation A?
Answer: D and no
Answers
Answer:
we can get the value by our IQ... i.e if we take x is equals to 2 then it must be 5 is equal to 3
order from least to greatest 1. 23 , 34 , 78/9 ,-67 ,-56.2, 8.001
HELPPPPPP PLZZZZZZZZZZZZ
Answers
Answer:
-67, -56.2, 8.001, 78/9, 23, 34
please help me i don't understand
Answers
Answer:
D and A
Step-by-step explanation:
1. 610:488 simplify
5:4
2.360:(488+551+610+360+391)
360:2400
3:20
10000+2000003
ghsrhrs
Answers
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
b. 135: 90
Simplify the ratio
Answers
Divide both 135 and 90 by 45 and you get 3 and 2
45 can go into 90 twice and 135 three times.
Simplified ratio (Answer) is 3:2.
Help me plsss plssss plsssssss
Answers
Answer:
9 1/2
Step-by-step explanation:
Add 2 1/2 plus 3 1/2 plus 3 1/2 to get 9 1/2.
A and B are complementary angles. If mZA ZB = (2x 2x + 29)º, then find the measure of ZB. (x – 23)° and m
Answers
the measure of ∠B = 85°
Explanation:
m∠A = (x-23)°
m∠B = (2x+29)°
Complementary angles are angles that have their sum equal to 90°:
m∠A + m∠B =90°
(x-23)°+ (2x+29)° = 90°
x + 2x -23 + 29 = 90°
3x + 6 = 90
collect like terms:
3x = 90-6
3x = 84
x = 84/3
x = 28°
m∠B = (2x+29)° = 2(28) + 29
m∠B = 85°
Therefore, the measure of ∠B = 85°
A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?
(b) Describe the distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from parts (a) and (c) if the lifespans of light bulbs had a skewed distribution?
Answers
A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:
A normal distribution with,
μ = 9000
σ = 1000
a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.
x = 105000 - 9000 / 1000 ≈ 1.50
Determine the corresponding probability using the normal probability table in appendix,
P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)
= 1 - 0.9332 = 0.0668.
b) n = 15
The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.
The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
μ = 1000/√15 = 258.19
c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
The z-value is the sample mean decreased by the population mean, divided by the standard deviation:
z = x-u/σ/√n = 10500-9000/1000√15 = 5.81
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What is the solution to 9|x - 8] < 36?
4
Ox<-4 orx > 12
Ox>-12 or x < 8
-4
Answers
The inequality expression 9|x - 8| < 36 when solved for x is 4 < x < 12
Solving the inequality expressionTo solve the inequality 9|x - 8| < 36, we can divide both sides by 9:
|x - 8| < 4
This means that the distance between x and 8 is less than 4. So, the solution can be expressed in two parts:
x is less than 4 units away from 8 to the left:
x < 8 - 4 = 4
x is less than 4 units away from 8 to the right:
x > 8 + 4 = 12
Therefore, the solution is 4 < x < 12, or in interval notation: (4, 12).
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Please help i only have today to finish this
Answers
Answer:
yes because the price is 5 time the number of boxs
Step-by-step explanation:
the last one
mark brainliest plz
hope I can help
please help me with this
Answers
Answer:
a=2 b = 3 c=8
Step-by-step explanation:
2^5
-------
4
Rewrite 4 as 2^2
2^5
------
2^2
We know that x^y / x^z = x^(y-z)
2^(5-2)
2^3
8
Use the distributive property to expand - 3x * (4d - 5e - 3f)
Answers
9514 1404 393
Answer:
-12dx +15ex +9fx
Step-by-step explanation:
- 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)
= -12dx +15ex +9fx
Maggie deposited two pay checks for $45 each how would you create this into an equation using multiplication or division
Answers
The total amount of money she deposited is $45 + $45 = 2x$45
Which statement is true about the transformation shown
Answers
Answer:
3
Step-by-step explanation:
I can't find the solution, 1+1! It hurts my brainnnnnn help please
Answers
Answer:
two
Step-by-step explanation:
Answer:
two lol
Step-by-step explanation:
The football team gained 14 yards on the first play, then the lost 20 yeards on second play. what was the total change in yards for the team
Answers
We can calculate the net yard as adding the two events in respect to the same reference value.
The first event is gaining 14 yards, so we have a=14.
The second event is losing 20 yards, which according to our reference is a negative value: b=-20.
Then, we can calculate the net effect as:
\(N=a+b=14+(-20)=14-20=-6\)This correspond, as it has a negative value, to a loss of 6 yards.
Answer: the total change is 6 yards lost.
Solve for u.u^2-u-12=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
Answers
we have the quadratic equation
\(u^2-u-12=0\)we have that
a=1
b=-1
c=-12
Applying the formula to solve a quadratic equation
\(u=\frac{-(-1)\pm\sqrt{-1^2-4(1)(-12)}}{2(1)}\)\(u=\frac{1\pm7}{2}\)The values of u are
u=4 and u=-3
therefore
The answer is
u=-3,4Use 3.14 for to find The radius of a circle is 1 yard. What is the circle's area?
Answers
3.14 yards^2
Explanation:
The formula for the area of a circle is pi times the radius^2.
You have to substitute a yard into the radius.
Answer:
9.42.
Step-by-step explanation:
If you have 3.14 × 3 You would put it over as an equation.
3.14
× 3
----------
9.42 is final answer.