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irina1246 [14]
3 years ago
6

Test scores for a standardized math test follow a normal distribution with a mean of 73 and a standard deviation of 8. a random

sample of 23 students took this math test. what is the probability that the average score of the 23 students falls above 75?
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Solution:

We are given:

μ=73,σ=8,n=8

We have to find P(Mean >75)

To find this probability, we need to find the z score:

z=(xbar-μ)/(σ/sqrt(n))

=(75-73)/(8/sqrt(23))

=1.20

Now we have to find P(z>1.20)

Using the standard normal table, we have:

P(z>1.20)=0.1151

Therefore the probability that the average score of the 23 students falls above 75 is 0.1151

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A toy manufacturer wants to know how many new toys children buy each year. A sample of 601 children was taken to study their pur
Lilit [14]

Answer:

The confidence interval is 6.6<μ<6.8.

Step-by-step explanation:

We have:

Number of observations = 601

Mean = 6.7

Standard deviation σ = 1.5

The z-score for a 95% confidence interval is 1.96.

The limits of the confidence interval can be calculated as

X \pm z*\frac{\sigma}{\sqrt{n}}\\\\LL=X-z*\frac{\sigma}{\sqrt{n}}=6.7-1.96*\frac{1.5}{\sqrt{601} } =6.7-0.1199=6.6\\\\UL=X+z*\frac{\sigma}{\sqrt{n}}=6.7+1.96*\frac{1.5}{\sqrt{601} } =6.7+0.1199=6.8

The confidence interval is 6.6<μ<6.8.

7 0
3 years ago
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?
Sav [38]

Answer:

100 meters  20/5=100

Not sure about the second one

hope this helps

Step-by-step explanation:

8 0
3 years ago
I need the answer ASAP is it <br> A.119<br> B.180<br> C.81<br> D61<br> Please I need this ASAP!
xxMikexx [17]

Answer:

D

Step-by-step explanation:

you subtract 180 from 119 and you get 61

6 0
3 years ago
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If 1116 parts were made in 7 hours how much parts were made an hour
vampirchik [111]
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