what is the best point estimate for the population's standard deviation if the sample variance is 49.7? round your answer to one
1 answer:
Using the relation between standard deviation and variance it is concluded that the standard deviation for the population for the given variance is 7.1
<h3>What is the relation between standard deviation and sample variance? </h3>In statistics, the two most crucial metrics are variance and standard deviation. While the variance is a measurement of how data points vary from the mean, standard deviation is a measure of the distribution of statistical data.
The square root of the variance yields the standard deviation, i.e.
Standard deviation =
Given that sample, the variance is 49.7 and we have to calculate the standard deviation.
Standard deviation (σ) =
=
= 7.0498
=7.1
Hence, the standard deviation for the population for the given variance is 7.1
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Answer:
Step-by-step explanation:
For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Fair coin:
Equally as likely to be heads or tails, so
5 tosses:
This means that
Probability distribution:
Probability of each outcome, so: