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cupoosta [38]
3 years ago
14

Consider a study collecting data from a population with an unknown mean and standard deviation. If the sample mean and sample st

andard deviation are the same, what is the effect of increasing the sample size on the following measures? The measure can increase, decrease, not change, or more information may be needed.
Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

Step-by-step explanation:

Increasing the sample size in a particular study will bring about a decrease in the standard deviations of the means.

A decrease in the sample size for a particular study will bring about an increase in the standard deviations of the means.

Whereas the population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from meaning that the population of the distribution of sample means never changes.

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

Split the above

(h - 4) = 0\ or\ (2h + 11) = 0

h - 4 = 0\ or\ 2h + 11 = 0

Solve the above linear equations separately

h - 4 = 0

Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

h = 4 ---- <em>First value of h</em>

2h + 11 = 0

Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

2h = -11

Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

3 0
3 years ago
Please help me please!!!!!!!!
wolverine [178]
I believe the answer is B) 50
4 0
3 years ago
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The difference of four times a number and seven is thirteen
Scrat [10]
4n - 7 = 13

 4n  = 20
n = 5. Hope it helps!

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Here's a problem for the minds-good luck!
Art [367]

Answer:

20%

Step-by-step explanation:

  1. Set up a proportion: \frac{280}{1400} = \frac{x}{100}  
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I hope this helps!

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I ordered some books online for myself and friends. Each book costs $13 and the store charges a flat rate for shipping of $20. W
Anna35 [415]

Answer:

13n+20

Step-by-step explanation:

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3 years ago
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