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Grace [21]
3 years ago
11

Professor smith conducted a class exercise in which students ran a computer program to generate random samples from a population

that had a mean of 50 and a standard deviation of 9 mm. each of smith's students took a random sample of size n and calculated the sample mean. smith found that about 68% of the students had sample means between 48.5 and 51.5 mm. what was n? (assume that n is large enough that the central limit theorem is applicable.)
Mathematics
1 answer:
Advocard [28]3 years ago
4 0
When xbar is 48.5

-1 is (48.5 - 50)/(9/sqrt n)
-9/sqrt n is -1.5
n is (9/1.5²) is 36

when xbar is 51.5
+1 is (51.5 - 50)/(9/sqrt n)
9/sqrt n is1.5
n is (9/1.5)² is 36
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A nurse at a local hospital is interested in estimating the birth weight of infants. how large a sample must she select if she d
enyata [817]
For large sample confidence intervals about the mean you have: 

xBar ± z * sx / sqrt(n) 

where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size
 
We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.

z * sx / sqrt(n) = width. 

so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348 

The equation we need to solve is:
z * sx / sqrt(n) = width 
n = (z * sx / width) ^ 2. 
n = ( 2.326348 * 6 / 3 ) ^ 2 
n = 21.64758 

Since n must be integer valued we need to take the ceiling of this solution.
n = 22 
7 0
3 years ago
50 ÷ (-5) =<br><br><br> Please simplify
mafiozo [28]

Answer:

-10

Step-by-step explanation:

50 ÷ (-5)

First ignore the brackets and the negative sign.

Then divide 50 by 5 to get 10

Then return the negative sign so the answer is; -10

3 0
3 years ago
Please help got to get grade up
dusya [7]

Answer:

10

Step-by-step explanation:

The ratio of abc/def=1.5

15/1.5=10

if you have insta follow me if you want at riztofu

5 0
2 years ago
Graph this linear function using slope intercept: y=2x+9
masya89 [10]
I really dont know lol.
                
8 0
3 years ago
8. Select all the numbers that irrational
Snowcat [4.5K]

Answer:

Answers are square root of 2, square root of 7,

Step-by-step explanation:

Irational is a number that is never ending.

Square root of 2 is irrational since there is no pattern to the number after the decimal.

10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is  not a irrational.

Sqrt of 7 does not have a pattern after the decimal point so it is irrational.

 

5.87 with a dash on top is rational since it means it has a pattern of continues 87's.

Last one it is equal to 2 so it is rattional.

4 0
2 years ago
Read 2 more answers
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