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Semenov [28]
3 years ago
12

A test is used to assess readiness for college. In a recent​ year, the mean test score was 20.3 and the standard deviation was 4

.9. Identify the test scores that are significantly low or significantly high.
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

\mu = 20.3

\sigma = 4.9

And we can find the limits in order to consider values as significantly low and high like this:

Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5

High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z  score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is  higher tor equal to 2.

For this case we have the mean and the deviation given:

\mu = 20.3

\sigma = 4.9

And we can find the limits in order to consider values as significantly low and high like this:

Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5

High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1

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I need help with this question, I can work out the ratio but I am just confused with the question. So do help if you can please.
nirvana33 [79]

Answer:

76%

Step-by-step explanation:

So basically 528 represents a full circle and the amount in the circle is 2:5 to that in the stalls.

So you divide 528 by 2 and then multiply it by 5 to get a full stall of 1320

you then add 1320 and 528 to get a full theater of 1848

to get 2/3 of seats in the stall you divide 1320 by 3 and then multiply it by 2 to get 880.

For 2/3 of the stall and a full circle you add 880 and 528 to get 1408.

You divide the amount of people in the theater on Friday by the total amount of people which the theater can hold so 1408 divided by 1848 and you get the percentage of 76%

8 0
3 years ago
72 percent of 350 friends
lana [24]
We have an equation: ?/350= 72/100

Cross multiply:
100*?= 72*350
⇒ ?= 72*350/100= 252

72% of 350 friends is 252 friends~
6 0
3 years ago
PLEASE HELPP!! WILL GIVE BRAINLIEST + 25 POINTS!!
enyata [817]

Answer:

x = -9/4

Step-by-step explanation:

−2(x + 1/4) + 1 = 5 ​

Subtract 2 from both sides.

−2(x + 1/4) = 4 ​

Divide both sides by -2.

x + 1/4 = -2

Subtract 1/4 from both sides.

x = -2 1/4

x = -9/4

4 0
3 years ago
SAT scores probability 1​
fredd [130]

Answer:

  a.  81.5%

Step-by-step explanation:

The z-score for 400 is ...

  Z = (X -μ)/σ = (400 -500)/100 = -1

The z-score for 700 is ...

  Z = (700 -500)/100 = 2

The empirical rule tells you that 68% of the distribution is within ±1σ of the mean, and 95% is within ±2σ of the mean. Half of that first number is in the range Z = -1 to 0, and half that second number is in the range Z = 0 to +2. So, the probability you want is ...

  (1/2)(68%) + (1/2)(95%) = 81.5% . . . . matches choice A

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3 years ago
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aleksandr82 [10.1K]

Answer:

0.037037037037037 i think

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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