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vlada-n [284]
2 years ago
7

A random sample is taken and the sample size is 25. the sample is normally distributed, the sample mean is 80, and the standard

deviation is 5.5. find a 90% confidence interval for the population mean.
Mathematics
1 answer:
torisob [31]2 years ago
7 0

The 90% confidence interval for the population mean is 78.1905<x<81.8095

<h3>Confidence interval</h3>

The formula for calculating the confidence interval is expressed as:

CI = x ± z*s/√n

Given the following parameters

mean "x" = 80

z = 1.645

s = 5.5

n = 25

Substitute

CI = 80 ± 1.645*5.5/√25

CI = 80 ± 1.8095

CI = {78.1905, 81.8095}

Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095

Learn more on confidence interval here: brainly.com/question/2141785

#SPJ1

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Answer:

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Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

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 \dfrac{-18a^{-2}b^5}{-12a^{-4}b^{-6}}=\dfrac{-18}{-12}a^{-2-(-4)}b^{5-(-6)}=\boxed{\dfrac{3a^2b^{11}}{2}}

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2 years ago
A ball is dropped from a height of 14 ft. The elasticity of the ball is such that it always bounces up one-third the distance it
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Answer:

Hello,

742/27 (ft)

Step-by-step explanation:

h_1=14\\\\h_2=\dfrac{14}{3} \\\\h_3=\dfrac{14}{9} \\\\h_4=\dfrac{14}{27} \\\\

d=14+2*\dfrac{14}{3} +2*\dfrac{14}{9} +2*\dfrac{14}{27} \\=14*(1+\dfrac{1}{3}+\dfrac{2}{9} +\dfrac{2}{27} )\\=14*\dfrac{53}{27} \\=\dfrac{742}{27} \\

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3 years ago
How would you describe the slice that created the rectangular
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The answer is perpendicular to the base.

Step-by-step explanation:

4 0
3 years ago
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Help? Statistics...
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On your calculator, use the normalcdf() function, enter the Lower Limit, Upper Limit, Mean, and Standard deviation.

The mean and standard deviation are given to you. You want to find "less than 13.5 seconds", meaning that 13.5 is the maximum "Upper Limit" and 0 would be the Lower Limit because we can pretend 0 second is the minimum. Don't worry about negatives, in this scenario, values like "-5 seconds" are impossible.

Enter normalcdf(0, 13.5, 13.56, 2.24) in a calculator and the output result is the answer.

7 0
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Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock​ h, in​ feet, after t s
fomenos

Answer: It will take 4 seconds  for the rock to hit the​ water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock​ h, in​ feet, after t seconds is given by the equation

h = -16 t^2+ 52 t + 48

To find : Time taken for the rock to hit the​ water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

-16 t^2+ 52 t + 48 =0

Divide equation by 2 , we get

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Since t cannot be negative , so t= 4

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