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shtirl [24]
3 years ago
13

Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally

distributed with a mean equal to 100 and a standard deviation equal to 15. explain your reasoning. (a) p(90≤sample mean≤110) for a random sample of size n = 10 (b) p(90≤sample mean≤110) for a random sample of size n = 20
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
Answer: The probability in (b) has higher probability than the probability in (a).

Explanation:

Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.

So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower. 

Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.

Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).       
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-x(y+z) if x=4, y=-3, and z= -5
ohaa [14]

Answer:

32

Step-by-step explanation:

Given

-x (y + z)

If y = -3

x = 4 and

z = -5

Substitute the respective values into the expression

-(4) (-3 + -5)

Positive negative when combined gives negative

-4 ( -3 - 5)

Simplify the bracket

-4 (-8)

-4 x -8

Negative negative gives positive

32

4 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 7. If there were 5
Kipish [7]
4/7 = y/5019....with y being yes votes
cross multiply
(7)(y) = (4)(5019)
7y = 20076
y = 20076/7
y = 2868 <=== yes votes

total of yes and no votes : 5019 + 2868 = 7887
8 0
3 years ago
I help me help me help me help me help help help help help me help me help me help me
Ira Lisetskai [31]

Answer:

a would be 2/9 and b would b 1/4 and c would be 0.17

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Add the two expressions 6q+1 and q+11<br> Enter your answer into the box
In-s [12.5K]

Answer:

7q + 12

Step-by-step explanation:

6q + 1 + q + 11

add like terms. add 6q and q together and then add 1 and 11 together

6q + q + 1 + 11

7q + 12

7q + 12 is your answer. i hope this helps :)

7 0
3 years ago
Read 2 more answers
Look at pic plz help
jasenka [17]

Answer:

Mochi

Step-by-step explanation:

Mochi

Each week theres a increase of 4 in Mochi's weight. So you will add 4 twice to get to the 5th week.

4th week : 17

5th week : 21

Kappa

In 4 weeks Kappa weighed 14, which is less that Mochi at the pace Kappa is going at.

on the 3rd week Kappa weighed 11

and 2nd week Kappa weighed 5

and 1st week Kappa weighed 3

Looking at the graph, we can give a rough estimate on the 5th week it's going to be 16 or 17 either way making Mochi heavier.

8 0
2 years ago
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