the average weight of 20 students in a certain school was found to be 165 lbs with a standard deviation of 4.5 A) construct a 90% confidence interval for the population mean

Answers

Answer 1

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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Related Questions

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.

Answers

Answer:

The birds are more likely to survive than the fish because the fish actually live in the lake and get resources from there. If the lake gets polluted, the water, oxygen, and food will get worse and the fish will slowly start to die. But the birds can just look for their resources somewhere else.

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

Answers

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:)

Match each sentence part to the question it answers.

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)

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?

Answers

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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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!

Answers

Answer:

PART A

Red: 7/29Blue: 8/29Yellow: 5/29Green: 9/29

PART 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 = 22/29

Explanation:

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)

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

Answers

Answer:

answer is A

Explanation:

A.Elimination of the disease

purchased goods from laxman from Rs 60000​

Answers

Answer:

dfgsdfg

Explanation:

srewt

Write two or more sentences to explain how climate change can affect plants and animals.

Answers

Answer:

Climate change can affect plants and animals because plants can get destroyed by the wind and rain. Animals can face dehydration and other problems that can affect their health.
the climate change affects the plants and animals like the new growth of plants will be destroied by the wind ,rain etc... And of animals the babby of the animals get fear and goes someway and be lost . The street animals will also suffer from this climate

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.

Answers

Answer:

The Caribou’s food and resources would decrease. There would be a change in the food chain which would affect other animals too.
Obviously their resources would lessen

help plsssssssssssssssssssssss

Answers

The answer is Mars and the moon
I believe it’s Mars and the moon i’m not 100% sure though

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

Answers

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.

Given the simple linear regression model y=b0+b1xi+µ the drive the error variance

Answers

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.

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.

Answers

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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Combine the two ideas into a single sentence.

Answers

D. but

A contrasting idea is introduced

gusto moba magka pera online?madali lang yan
add moko sa fb:princess rhianna su​

Answers

Answer:

Who you can choose in any picture

helpppppp plssssss ttttyyyy

Answers

Answer:

Weathering and Erosion

. {(-8, 7), (-8, -6), (-1, 7), (6, 4), (7, -8)} function o no

Answers

Answer:

it does

Explanation:

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?

Answers

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

_____ offer bachelor's degrees.A.Community collegesB.Four-year collegesC.Early collegesD.Junior colleges

Answers

Answer: B

Explanation: junior colleges only offer undergrads not bachelors

Answer:

B Four year colleges

Explanation:

thats how long it takes to get one

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

Answers

correct me if i’m wrong but the average of hours for high school students is B

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?

Answers

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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What about the Haiku inspires Noni? please help now and quick

Answers

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.

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