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Morgarella [4.7K]
3 years ago
14

Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A

research group reported that 28% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 90 0 freshmen is selected. Round the answer to at least four decimal places.
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

The probability that the proportion of freshmen in the sample of 90 who plan to major in a STEM discipline is between 0.29 and 0.37 is P=0.0166.

Step-by-step explanation:

<em>The question is incomplete. You have to add:</em>

<em>Find the probability that the proportion of freshmen in the sample of 90 who plan to major in a STEM discipline is between 0.29 and 0.37.</em>

We have a sample of n=90 out of a population with a proportion p=0.28.

We have to calculate the probability that the sample has a proportion between 0.29 and 0.37.

First, we calculate the standard deviation of the sampling distribution:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.28*0.72}{90}}=\sqrt{0.0024}=0.047

We can now calculate the z-score for 0.29 and 0.37

z_1=\dfrac{p_1-p}{\sigma}=\dfrac{0.29-0.28}{0.0047}=\dfrac{0.01}{0.0047}=2.13\\\\\\z_2=\dfrac{p_2-p}{\sigma}=\dfrac{0.37-0.28}{0.0047}=\dfrac{0.09}{0.0047}=19.15

Now, we can calculate the probability as:

P(0.29

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zavuch27 [327]
The total amount is 12 ounces therefore you can use that as your denominator.
4 ounces out of it are vanilla and the other 8 are chocolate.
4 out of 12 is vanilla . This can also be written as 4/12.
4/12 can be your first fraction.
The second one can be a simplified version of 4/12.
The simplified version would be 1/3.
Your two fractions would be 4/12 and 1/3.

Hope This Helps You!
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4 0
3 years ago
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juin [17]

Answer:

A. mean=14.29

median=16

B. IQR=10

C.   option 3

D. 5.91

Step-by-step explanation:

mean=sum of values/number of values=10+20+4+13+21+16+16/7=14.29

median is achieved by arranging data in increasing order and then calculating the middle value

4 10 13 16 16 20 21

The mid value is 16 so the median=16

IQR=interquartile range=3rd quartile-1st quartile=Q3-Q1=20-10=10

As n/4=7/4 is not an integer so

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Q3=(3n/4+1)value=6.25=6th value=20

Standard deviation=s=sqrt(∑(x-xbar)²/n-1)=sqrt(209.43/6)=5.91

7 0
3 years ago
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tiny-mole [99]
We can write it down like this:

4%*x=56

where we want to find the x

first, i would change the % into fraction.

\frac{4}{100} *x=56
multiply both sides by 100
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divide by four:

x=1400
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Answer: in picture

Step-by-step explanation: merry

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