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Deffense [45]
3 years ago
13

A college administrator would like to estimate the average grade point average (average of GPA) of all the current registered st

udents based on a random sample. He plans to estimate the average GPA to within 0.05 with 90% confidence interval. At least how many students does he need to include in the sample in order to accomplish that? Assume the standard deviation of all GPA's in the student population is \sigma σ = 0.4.
Mathematics
1 answer:
bonufazy [111]3 years ago
8 0

Answer: 346

Step-by-step explanation:

Given :  Margin of error : E= 0.05

Standard deviation : \sigma=0.4

Significance level :\alpha=1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

The formula to calculate sample size ( if proportion is known) :-

n=(\dfrac{z_{\alpha/2}\sigma}{E})^2\\\\\Rightarrow\ n=(\dfrac{(2.326\times0.4)}{0.05})^2\\\\\Rightarrow\ n=346.257664\approx346

Hence, the required minimum sample would be 346.

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strojnjashka [21]

Answer:

3 - a

Step-by-step explanation:

Given that when you add two numbers together the result is 3.

The greater of the number is given as a.

Let "x" represent that lesser number.

Thus:

a + x = 3

To make x the subject of the formula. Subtract a from both x.

a + x - a = 3 - a

x = 3 - a

Therefore, the expression that represents the lesser number, x, is:

3 - a

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Which of the following ordered pairs represents a solution<br> to the linear equation y = 5 - X?
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Answer:

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Step-by-step explanation:

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3 years ago
A basketball game a team made 52 successful shots they were a combination of 1- and 2- point shots the team scored 86 points in
jasenka [17]

Answer: 15

Step-by-step explanation:

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

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3 years ago
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