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Tom [10]
3 years ago
14

A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam

ple mean is 16.40 minutes and the sample standard deviation is 4.00 minutes. Construct the 95 percent confidence interval for the mean time required by all adults to learn the task.
Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

Confidence interval = ( 15.29 to 17.51 minutes)

Step-by-step explanation:

the sample mean x = 16.40 minutes

the sample standard deviation r = 4.00 minutes.

Number of samples n = 50

Confidence interval is 95%

Z* = t(0.025) = 1.96

Confidence interval = x +/- (Z* × r/√n)

= 16.40 +/- (1.96 × 4.00/√50)

= 16.40 +/- 1.11

Confidence interval = ( 15.29 to 17.51 minutes)

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What are the coordinates for (6,5) and hypotenuse 3.
galina1969 [7]

Answer:

the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

4 0
3 years ago
Solve the equation below 5 - 1/2x = 5/8x + 2
Vanyuwa [196]
X = 8/3 

I hope this helped!
4 0
3 years ago
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Help, quick! Worth 100 points
finlep [7]

Answer:

the answer is (C) 2(1-2x)=x-3

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3 years ago
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

7 0
3 years ago
Pls help me with number
vredina [299]

Answer:

Total people = 240

Step-by-step explanation:

Let the total number of people by 'x'.

\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\

\sf \text{Number of women =$\dfrac{1}{3}x$}

Number of children = 100

When we subtract the total number of men and women from the total people 'x', we get the number of children.

\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\

      x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x   = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\          \dfrac{5}{12}x=100\\

          \sf x = 100*\dfrac{12}{5}\\

          x = 20 * 12

          x = 240

<h3>             Total number of people = 240</h3>
7 0
2 years ago
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