Step-by-step explanation:
The mean is 27 and the standard deviation is 4.
23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean. According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.
68% of 1200 is 816.
19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean. According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.
95% of 1200 is 1140.

You can see it's a geometric sequence because the ratio is constant (

).
The nth term of a geometric sequence:


It has to be the sum for term 4 through term 15, so n=4 and the number above the sigma is 15.
Your answer:
Answer:
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Answer:
The confidence interval for the population mean μ is 
Step-by-step explanation:
Given :
Number of weights of newborn girls n=185.
Mean
hg
Standard deviation s=7.5 hg
Use a 95% confidence level i.e. cl=0.95
To find : What is the confidence interval for the population mean μ?
Solution :
Using t-distribution,
The degree of freedom 


The t critical value is t=1.973.
The confidence interval build is

Substitute the values,





Therefore, the confidence interval for the population mean μ is 
You can multiply any number by both 9 and 27 to get an equivalent ratio. For example, you have 9:27. Multiply both of them by 2, and you get 18:54.