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dsp73
2 years ago
9

An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sa

mple size necessary to estimate the mean IQ score of statistics students such that it can be said with 90​% confidence that the sample mean is within 2 IQ points of the true mean. Assume that sigmaequals12 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is 97. ​(Round up to the nearest​ integer.) Would it be reasonable to sample this number of​ students? Yes. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly small number.
Mathematics
1 answer:
Julli [10]2 years ago
5 0

Answer:

Step-by-step explanation:

Given that IQ mean is 100 and std dev = 12 for normal adults

Confidence level =90%\\Z critical value = 1.645\\Margin of error = 2\\Margin of error = 1.645* std error =2\\Std error = 1.216

Std error = \frac{12}{\sqrt{n} } =1.216

n=(\frac{12}{1.216} )^2 =97.38

i.e. sample size should be atleast 97

The required sample size is 97.

This is reasonable as this is greater than 30

Yes. This number of IQ test scores is a fairly large number.

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Answer:

3 different ways

Step-by-step explanation:

100 - 99.79 = 0.21

.21 = 2 dimes and 1 penny

.21 = 4 nickels and 1 penny

.21 = 1 dimes, 2 nickels and 1 penny

3 0
2 years ago
1.792 x 10^11<br><br> What’s the answer?
belka [17]

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3 years ago
A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all
makvit [3.9K]

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

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Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

\dfrac{6!}{3!\times 3!}\\\\=20

If there are 3 white blocks

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So, Number of total pattern she can make by placing all nine blocks in a line is given by

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6 0
3 years ago
3xsquare-9x-30=0<br> What’s the answer
BartSMP [9]

Answer:

x = - 2 or x = 5

Step-by-step explanation:

Given

3x² - 9x - 30 = 0 ← in standard form

Divide all terms by 3

x² - 3x - 10 = 0

To factor the quadratic

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)

The factors are - 5 and + 2, since

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x² - 3x - 10 = 0

(x - 5)(x + 2) = 0

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6 0
3 years ago
What value of x makes this equation true 12x-15=6-3x
Alex

Answer:

x = 1.4 (or 21/15)

Step-by-step explanation:

12x - 15 = 6 - 3x

+3x              +3x

-----------------------

15x - 15 = 6

       +15  +15

-----------------------

15x = 21

/15   /15

----------------------

x = 21/15  or

x = 1.4

6 0
3 years ago
Read 2 more answers
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