A random sample of 55 standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17. From previous studies, it has been found that the standard deviation of the price of all hotel rooms in Philadelphia is $38.60. Construct a 99% confidence interval for the population mean cost . Round to the nearest penny. Show work below . (5 points )

Answers

Answer 1

The 99% confidence interval for the population mean cost is 38.37 to 269.97.

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

Given that the standard hotel rooms in the Philadelphia area has a mean nightly cost of $154.17.

The standard deviation of the price of all hotel rooms in Philadelphia is $38.60.

According to the empirical rule,

P(μ - 3σ ≤ X ≤ μ - 3σ) = 99%.

Here μ = 154.17 and σ = 38.60.

Calculating the confidence interval:

154.17 -  (3 × 38.60) ≤ X ≤ 154.17 + (3 × 38.60)

38.37 ≤ X ≤ 269.97

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Related Questions

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Answer:

8.75

Step-by-step explanation:

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Answer: probability of 11 = 5.56% probability of 13 = 52

Step-by-step explanation:

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Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

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what is the slope of 4x-3y=18

Answers

Answer:

Look below

Step-by-step explanation:

[tex]4x-3y=18\\-3y=18-4x\\y=4/3x-6[/tex]

Answer:

Slope: 4/3

y-intercept: -6

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Height= 11.5 cm
Radius= 6 cm

Answers

Answer:

414π

Step-by-step explanation:

Volume of a cylinder = area of circle/ cross-section x height

Area of cross-section = πr² = 6²π = 36π

36π x 11.5 = 414π

Answer:

1300.61936 cm

Step-by-step explanation:

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Jill wants to paint the front and top surfaces of each step leading to her porch. There are 6 steps like the one shown. How many total square inches of the steps will she paint?

A: 1,296

B: 1,776

C: 3,552

D: 5,760​

Answers

Answer:

1296

Step-by-step explanation:

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At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admission tickets?

Answers

Answer:

75% of the tickets sold were early-admission

Simplily divide 51/68

Anyone who know what the answer please please?!

Answers

Answer:

x = 26.4°

Step-by-step explanation:

Defence angle = x

Side length Opposite to reference angle = 4

Hypotenuse length = 9

Apply trigonometric ratio, SOH. Thus:

Sin x = Opp/Hyp

Sin x = 4/9

[tex] x = sin^{-1}(\frac{4}{9} [/tex]

x = 26.3878° = 26.4° (nearest tenth)

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distribution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.

Answers

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?

Answers

Answer: $6.96

Step-by-step explanation:

To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply  that by $87

87*0.08 = 6.96

Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax

Hey guys, I just got braces and they are really uncomfy so how long did it take yall to get used to them?

Answers

Answer:

it took me like 1-2 months to be honest. after that it just feels normal

Step-by-step explanation:

I had them and it took about a month or two

WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT

Answers

Answer:

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Step-by-step explanation:

Since the figure moved 4 places down and 4 places to the right.

Answer:

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Step-by-step explanation:

Have a nice day!

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP - A triangle has side lengths of 7, 23, and 25. Is the triangle a right triangle? *
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No, the triangle is not a right triangle.
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Answers

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

Answer:

To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

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Since 578 is not equal to 625, the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

PLEASE MARK AS BRAINLIEST

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Answers

Answer:

30 cm2

Hope this helps

Answer:

30

Step-by-step explanation:

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BRAINILEST PLEASE

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Answers

Answer:

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Step-by-step explanation:

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There are 400 thousand people living in Miami and 300 thousand people living in Anchorage. Which statement below shows which city has more people living in it? - 400 thousand people > 300 thousand people, so there are more people living in Miami. 400 thousand people < 300 thousand people, so there are more people living in Miami. 400 thousand people > 300 thousand people, so there are more people living in Anchorage. 400 thousand people < 300 thousand people, so there are more people living in Anchorage.​

Answers

Answer:

Your answer is A <3

Step-by-step explanation:

Answer:

400 thousand people > 300 thousand people, so there are more people living in Miami.

A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.

Answers

Answer:

8 boxes of donuts

Step-by-step explanation:

72$ /9$ = 8 boxes of donuts

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Answer: 52

Step-by-step explanation:

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guys someon about to comit u know what so go to this link and help out
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Answer:

Is this called

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A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti

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18.2 is the answer . work = (5.2/2)+5.2(3)

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Answer:

D) ONK and MNK

Step-by-step explanation:

All the other choices are either corresponding or vertical angles

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Answers

Answer:

what is 50% of 35?

Answer is 17.5.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Pleaseee helppp me on this

Answers

Answer:

(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)

Step-by-step explanation:

plug in each x value into the equation

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when -7 is x, we plug it into the equation

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[tex]y = (-7) -6[/tex]

[tex]y=-13[/tex]

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A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?

Answers

Answer:

2/8 are seniors

Step-by-step explanation:

one half = 4/8

4/8 + 1/8 + 1/8 = 6/8.

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A walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path how far power are the 1st 2 bushes along the path​

Answers

Answer:

The bushes will be located 6 meters apart from each other.

Step-by-step explanation:

Given that at a walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path, to determine how far away are the 1st 2 bushes along the path, the following calculation must be performed:

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please help i have been stuck on this for 3 hours

Answers

Answer:

The one you selected is the correct one

Answer:

(5/7) x 56 = 40 is correct

Step-by-step explanation:

How have you been stuck on this for 3 hours

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