A. The 90% confidence interval for the population mean is (162.91,167.09)
B. The value Margin of error is 7.42
C. The interpretation of the confidence level obtain from (a) is there is a 90% chance that the interval (162.91,167.09) contains the true population mean.
How can we determine the values given above?a) A 90% confidence interval for the population mean can be constructed using the following formula:
(sample mean) ± (critical value) x (standard deviation of the mean)
The critical value is determined by the level of confidence and the sample size. For a 90% confidence level and a sample size of 20, the critical value is 1.645.
Therefore, the 90% confidence interval for the population mean is:
165 ± (1.645 x 4.5)
which is (162.91,167.09)
b) The margin of error is the critical value x the standard deviation of the mean, or 1.645 x 4.5 = 7.42.
c) A 90% confidence interval means that if we were to repeat this process many times, 90% of the intervals constructed would contain the true population mean. In other words, there is a 90% chance that the interval (162.91,167.09) contains the true population mean.
Therefore, the correct answer is as given above. It can then be concluded that the values given for 90% confidence interval, margin of error and it's interpretation are as given.
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Given the simple linear regression model y=b0+b1xi+µ the drive the error variance
The error variance can be Illustrated as σ^2 = E(μ^2) = Var(μ) = (1/n) * ∑(y - (b0 + b1x))^2
How to illustrate the error variance?The simple linear regression model is of the form:
y = b₀ + b₁x + μ
y = the dependent variable
x = the independent variable
b₀ and b₁ = the parameters of the model, and μ is the error term.
The error term represents the difference between the observed value of the dependent variable and the value predicted by the model. In other words, it is the deviation of the observed y from the expected value of y, given the value of x.
The error variance, denoted by σ^2, is a measure of the spread of the error term. It is calculated as the average squared deviation of the error term from its mean value, which is zero:
σ^2 = E(μ^2) = Var(μ) = (1/n) * ∑(y - (b₀ + b₁x))^2
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Complete question
Given the simple linear regression model y=b0+b1xi+µ, derive the error variance.
help plsssssssssssssssssssssss
Combine the two ideas into a single sentence.
helpppppp plssssss ttttyyyy
Answer:
Weathering and Erosion
PLEASEEE HELPPP ASAP I WILL GIVE BRAINLSIT There is pollution that has spilled into a lake. Explain why the birds who live on the lake are more likely to survive than the fish.
Answer:
You see birds can fly but fish cannot. Birds can breath outside of water but fish can't. So in this scenario birds have the advantage. Fish can't leave the water so they will be contaminated with the pollution. Birds can leave the water because they can fly to safety.
When can a bank repossess someone's car?
when the owner defaults on the loan payments
when the owner gets into an accident
when the owner cancels the insurance
when the owner buys a used car
Answer:
A
Explanation:
Technically, as soon as a credit account is delinquent, the lender can take action to repossess the property tied to the loan. In the case of a car loan, if you miss a payment, the bank could repossess the vehicle without notice.
They don't pay, it get's taken away!
Answer:
2nd one I think if I'm wrong my apologies:)
gusto moba magka pera online?madali lang yan
add moko sa fb:princess rhianna su
Answer:
Who you can choose in any picture
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1023 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 11^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answer:22bb square roots
Explanation:none
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1023 feet from a lighthouse/the shore. The distance from point AA to point BB is -1114.01 feet.
What is the distance?Distance is a numerical or qualitative measurement of the distance between two objects or places.
The distance of point A from the lighthouse = 1023 feet
The angle of elevation from point A to the lighthouse = 11°
The angle of elevation from point B to the lighthouse = 2°
tanΘ = opposite side to angle / adjacent side to the angle
tan7° = height from sea to the lighthouse / 1023 feet
Height to the lighthouse = tan(11°) × 1023 feet
0.1944 x 1023 feet = 198.8712
For point B
tan3° = 198.8712 feet
Horizontal distance = 198.8712 / tan3°
tan3° = -2.1850
Horizontal distance = 198.8712 / -2.1850 = -91.0165
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B
-91.0165 - 1023 feet = -1114.01
Therefore, the distance from point AA to point BB is -1114.01 feet.
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Country Q has an unemployment rate of 7% with GDP growth of .2 and -2% inflation over the past 12 month. What should be central bank of country Q do in response to these economic indicators?
The central bank of a country controls the amount of money in circulation in order to maintain the health of the economy. Banks can regulate the amount of money in circulation by manipulating interest rates.
What part do central banks play in a nation's economic system's stabilization?Economic and financial stability is largely dependent on central banks. In order to achieve low and stable inflation, they implement monetary policy. Following the global financial crisis, central banks have added more tools to their arsenals to address threats to financial stability and control fluctuating exchange rates.
What part does the central bank play in the growth of the economy?In developing nations, a central bank can be extremely important in creating the financial foundation for growth. A clear and significant activity that falls under this category is the development of local currency and the capital market.
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purchased goods from laxman from Rs 60000
Answer:
dfgsdfg
Explanation:
srewt
Typically, most high school students who are 16 or older work an average of _____ hours per week.A.5 to 10B.10 to 20C.3 to 5D.30 to 40
PLEASEEE HELPPP ASAPPPPP WILL GIVE BRAINLISTT There is a large increase in the caribou population. Explain what might happen to the caribou and their resources.
Write two or more sentences to explain how climate change can affect plants and animals.
In a bag of candy, Marsha found that there were 7 red, 8 blue, 5 yellow, and 9 greens pieces of candy. Marsha put all of the pieces of candy back in the bag, and drew one piece of candy out.
Part A:
Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
Part B:
Marsha now wishes to determine compound probability. Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
If you cannot see, zoom in. Don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest!
Answer:
PART A
Red: 7/29Blue: 8/29Yellow: 5/29Green: 9/29PART B
Red or blue: 7/29 + 8/29 = 15/29 Yellow or green: 5/29 + 9/29 = 14/29 Blue or yellow or green: 8/29 + 5/29 + 9/29 = 22/29Explanation:
In this case where the question is asking or OR and the events are mutually exclusive (Mutually exclusive meaning you can't attain two or three different colors in one pick), the compound probability is the sum of the probability of each component event (Probability of Red OR Blue = P(Red) + P(Blue) = 7/29 + 8/29 = 15/29)
. {(-8, 7), (-8, -6), (-1, 7), (6, 4), (7, -8)} function o no
Answer:
it does
Explanation:
Match each sentence part to the question it answers.
Answer and Explanation:
Which sentence part includes the subject and main action?
Nani began to count syllables
Which sentence part tells when the action was performed?
After closing her eyes and exhaling
Which sentence part tells how the action was done?
Silently and perfectly
#teamtrees #PAW (Plant And Water)
The only reason her husband did not consult her about his business was that she did not wait to be consulted. What role does the sentence playing in the excerpt?
Answer:
The sentence helps to define the personality and character of William Tavener's wife.
Explanation:
The Sentimentality of William Tavener is a short story about a Phlegmatic but hardworking man whose wife on the other hand was a choleric, and a domineering wife.
William Tavener's wife is also described as a good manager who was constantly on the move, spirited and practical. The phrase "she didn't wait to be consulted" meant she was very busy.
So the sentence does the job of portraying her nature and introducing her character to the reader.
Cheers
What about the Haiku inspires Noni? please help now and quick
Answer:
it has a pattern to follow
Explanation:
she wants a clear 1 2 3 step, which is why she likes math as said earlier. the haiku will "give her a structure to follow" or a pattern to follow.
_____ offer bachelor's degrees.A.Community collegesB.Four-year collegesC.Early collegesD.Junior colleges
Answer:
B Four year colleges
Explanation:
thats how long it takes to get one
193 - Which of the following items corresponds with blocking the transmission of infection through
eliminating the pathogenic factor?
a. Elimination of the disease
b. Eradication of the disease
c. Fighting against the disease
d. Management of the disease
Answer:
answer is A
Explanation:
An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect’s constraints, which of the following must be the tread depth, in inches, of the stairway? (1 foot = 12 inches)
A) 7.2
B) 9.5
C) 10.6
D) 15
Answer:
Option C
The answer is 10.6
Explanation:
Here,
Total rise = 9 feet
Now, 1 foot = 12 inch
So, 9 x 12 inches = 108 inches
A riser height between 7 and 8 inches,
i.e., 8 ≤ h ≤ 7
Total riser = xh ...(1)
where x is the number of steps and h is the riser's height.
From equation (1),
x = Total riser ÷ h
Total riser = 108
h = 8 ≤ h ≤ 7
Thus,
x = 108/8 ≤ h ≤ 108/7
x = 14 ≤ h ≤ 15 ....(2)
Since the number of steps (x) is an odd number,
So, x = 15 [from equation (2)] (.°. 14 is not an odd number)
Also, from equation (1),
h = total riser/x
h = 108/x = 108/15 = 7.2 [it's between 7 and 8]
from riser-tread formula,
2h + d = 25
d = 25 - 2h
d = 25 - 2(7.2)
d = 25 - 14.4
d = 10.6
Thus, The answer is 10.6
-TheUnknownScientist
Answer:
Explanation:
The riser-tread formula states riser (R)+ tread (T) = 17 inches minimum, or 18 inches maximum.
Given R is between 7 - 8 inches, T must be between 9 - 11 inches. So the only choices within this range are B) 9.5 and C) 10.6.
As the number of steps must be odd:
for R between 7 - 8 inches, the total rise of 9 feet i.e. 108 inches requires -
108/7 = 15.4 ~ 16 steps to
108/8 = 13.5 ~ 14 steps
15 steps is an odd number between 14 and 16.
With 15 steps, R = 108/15 = 7.2"
For choice B, R + T = 7.2 + 9.5 = 16.7" which is short of the riser-thread formula.
For choice C, R + T = 7.2 + 10.6 = 17.8" which satisfies the riser-thread formula and is the correct answer.
Edit: I missed the riser-thread formula in this question has been defined as 2h + d = 25. So the above calculation was done with a different definition of the formula but arrived at the same answer.
In a study of exercise, a large group of male runners walk on a treadmill for six minutes. Their heart rates in beats per minute at the end vary from runner to runner according to the (104,12.5) distribution. The heart rates for male nonrunners after the same exercise have the (130,17) distribution.
(a) What percent of the runners have heart rates above 140?
Percentage for the runners with heart rate of above 140 is 50.199% probability.
How to calculate heart rate probability?To calculate percentage of runners heart rate;
Mean, μ = 104
Standard deviation, σ = 12.5
Probability = P(X > 140)
P(X > 140) = [tex]1 - P (\frac{X - μ}{σ} \leq \frac{140 - μ}{σ})[/tex]
P(X > 140) = [tex]1 - P (Z \leq \frac{140 - 104}{12.5})[/tex]
P(X > 140) = [tex]1 - P (Z \leq \ 2.88)[/tex]
For a Z score of 2.88, the cumulative from mean probability and percentile are:
The normal distribution for 2.88 = 0.49801
P(X > 140) = 1 - 0.49801
P(X > 140) = 0.50199
P(X > 140) = 0.50199 x 100
The percentage for the heart rate = 50.199%
The probability of of runners heart rate above 140 is a 50.199% chance.
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