1. Kate is 3 years older than John and 5 years younger than Carri. If John is 12 years old, how old is
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The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.
<h3>What is a sample proportion?</h3>A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
Where:
- x represent the number of individuals with a specified characteristic.
- n represent the total number of individuals in a sample.
In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:
Standard deviation (SD) = √(p(1 - p)/n)
Substituting the given parameters into the formula, we have;
Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)
Standard deviation (SD) = √(0.37(0.63)/1,600)
Standard deviation (SD) = √(0.2331)/1,600)
Standard deviation (SD) = √0.0001457
Standard deviation (SD) = 0.0121.
Read more on standard deviation here: brainly.com/question/14467769
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Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : , which is a large sample , so we apply z-test .
Sample mean :
Standard deviation :
Significance level :
Critical value :
Now, a confidence interval at the 95% level of confidence will be :-
<u>Answer-</u>
<u>Solution-</u>
The equation for time period of a simple pendulum is given by,
Where,
T = Time period,
L = Length of the rod,
g = Acceleration due to gravity.
Frequency (f) of the pendulum is the reciprocal of its period, i.e
Putting the values,