Question

If Y1=2,Y2=9,Y3=1 and Y4=8 be a ramdom sample taken from a population having mean μ,then the point estimate of μ is equal to

Answer 1

If that was the case they would all equal the mean of the population or sample. .... 8 9. 80. y = 78.1. 60. 70. Weight. 4 10. 3 1 6. x = 178. 2 160. 5. 170. 180. 190. Height. Each point in the plot corresponds ...

Answer 2

Find the point estimate of mean of the given population and sample data.

Explanation:

• A random sample may be regarded as a microcosm of the population from which it is drawn.
• Therefore, we might attempt to estimate the moments of the population’s probability distribution function 'f(x)' by the corresponding moments of the sample statistics.
• To determine the worth of such estimates, we may determine their expected values and their variances. Beyond finding these simple measures, we might need to find distributions of the statistics, which are described as their sampling distributions.
• We can show, for example, that the mean $\mu'$ of of a random sample is an unbiased estimate of the population moment µ = E(x), since               [tex]E(\mu')=E(\sum \frac{x_i}{n} ) =\frac{\sum E(x_i)}{n}\\ \mu'=\frac{n\mu}{n} \\ \mu'=\mu[/tex]  
• here, we have $\mu'=\frac{2+9+1+8}{4}\ \ \ \ \ \ ->\mu'=5$
• Hence point estimate of µ is $5$.