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Vlad [161]
3 years ago
7

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. Assume that X, the time to learn a task, is distributed normally.
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

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sattari [20]

Answer:

128

Step-by-step explanation:

4 x 2 = 8

8 x 2 = 16

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64 x 2 = 128

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6 0
3 years ago
The perimeter of a square shaped garden is (16x+20) feet. Write an expression to represent the length of one side of the garden.
expeople1 [14]
4x+5 feet

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3 years ago
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Solve the following quadratic function<br> by utilizing the square root method.<br> y = 100 – x2
Anna [14]

Answer:

x = ± 10

Step-by-step explanation:

To solve the equation let y = 0 , that is

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3 0
3 years ago
What number should be added to both sides in order to solve x^2 -8x=0
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Answer:

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Step-by-step explanation:

x^2 -8x=0

rewrite in this form and add 16 to both sides:

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7 0
2 years ago
I need some help with this
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Answer:

A. 1

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