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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Step-by-step explanation:

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Answer:

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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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Thus, since the first bush is at meter 0, the remaining 13 bushes will be located 6 meters apart.

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

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Step-by-step explanation:

I had them and it took about a month or two

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Is this called

BRAINLIEST WHO EVER ANSWERS FIRST !!!!!!I need someone to talk too! Please if anyone is willing to talk to me, I will give brainiest!

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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

4. Are the expressions 3(y + 1) and 3y + 3, equivalent for y = 1? y= 2? y 3?​

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Answer:

yes they both equal 1

Step-by-step explanation:

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Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

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

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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

The length of one rectangle is 3 1/2 mm with a width of 2 4/5 mm . What is the area of the rectangle?

Answers

Answer:

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Step-by-step explanation:

Pleaseee helppp me on this

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Answer:

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Step-by-step explanation:

plug in each x value into the equation

take -7 for example

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

[tex]y=x-6[/tex]

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

[tex]y=-13[/tex]

you would do this same process for the rest of the x values.

(please answer if you know) On a​ map, 1 inch equals 5.2 miles. Two houses are 3.5 inches apart on the map. What is the actual distance between the​ houses? Use pencil and paper. Show how you can represent the scale with two different ratios. What ratio is more helpful for solving the​ problem? Explain.

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

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

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️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.
There is not enough information to tell if the triangle is a right triangle.

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.

Let's check if the given triangle satisfies the Pythagorean theorem:

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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.

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BRAINLIEST!!! find the probability for numbers 11 and 13 please

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Step-by-step explanation:

PLs help me. I need to find the measure of B

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Answer: 52

Step-by-step explanation:

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Find the distance between the points (4.5,-1.5), (4.5,7.25)
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Answer:

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Step-by-step explanation:

if 40% percent is a number of 35 what is 50% of that number

Answers

Answer:

what is 50% of 35?

Answer is 17.5.

Step-by-step explanation:

The area of a rectangle with a
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Answers

Answer:

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Hope this helps

Answer:

30

Step-by-step explanation:

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BRAINILEST PLEASE

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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

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explain how please

Answers

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

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-7x - 14x + 16 = -5

-21x = -21

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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:

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

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Answers

Answer:

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Step-by-step explanation:

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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:

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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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Answers

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Answers

Answer:

x = 26.4°

Step-by-step explanation:

Defence angle = x

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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)

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What is the volume of the cylinder below? write your answer in terms of pie.

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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:

:))

WILL MARK BRAINLY FOR WHO EVER GETS THIS RIGHT

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Answer:

The first option and the third option

Step-by-step explanation:

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

Answer:

Option 1, ,2, 3, and 4 are correct.

Step-by-step explanation:

Have a nice day!

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