Question

6. Applying a statistical point estimate method and given the following data: Xbar=13.75mm, s=1.5mm, n=30. You estimate the population mean to equal:

7. The mean of a variable data set from a population is designated by: a) X bar, b) Greek letter Mu, c) Greek letter Sigma, d) s

8. In hypothesis testing- When alpha is defined as 0.2 the CI would be classified as this percentage:

9: Given the following sample data estimate: s=4, Xbar=10, Number of samples=100, Normally distributed. Determine the standard error:

10. If the sample standard deviation s=50 and the number of data samples collected is 4, the estimated standard deviation of the population standard deviation can be estimated on the CLT as:

Answer 1

6)  point estimation involves the use of sample data to calculate a single value which is to serve as a "best guess" or "best estimate" of an unknown population parameter i.e mean here

Hence the point estimate for the population mean is the sample mean

7) the mean of the variable dataset is the sample mean, which is designated by option a)  

8) if the value of is 0.2

Then the Confidence Interval would be classified as (1-0.2)%=80% Confidence interval.

9) the standard error =

10)The central limit theorem states that if you have a population with mean and standard deviation and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large (usually n > 30).

estimated standard deviation of the population standard deviation is