sampling distribution sample size

What formula is used to gain information about a sample mean when the variable is normally distributed or when the sample size is 30 or more? => z = X - μ σ or z = X ‾ - μ σ n or z = X ‾ - μ σ n or z = X - μ &sigm..

Which of the following is a property of sampling distribution? I. Mean of sampling distribution equals population mean. II. Sample mean comes closer to population mean than any other unbiased mean. III. As sample size increases, ..

Which of the following are the assumptions for two-way ANOVA? I. All samples are drawn from normally distributed populations. II. All populations have a common variance. III. The groups must be equal in sample size. IV. Within each group, the observations wer..

A population consists of the five numbers 2, 4, 6, 8 and 10. Consider all the samples of size 2 that can be drawn with replacement from the population. Find the mean of the sampling distribution means. Also find the difference between the population mean and ..

As the sample size n increases without limit, the shape of the distribution of the sample means taken with replacement from a population with mean μ and standard deviation σ will approach a normal distribution. This distribution w..

An unfair coin has a 60% chance of landing heads-up. If X = 1 represents a coin landing heads-up, and X = 0 represents a coin landing tails-up, then find the sampling distribution of the mean( x ‾ ) for samples of size 3. => Figure 4 or Figure 2 or Fi..

The basic assumption(s) for estimating the difference between two variances is/are: I. The samples must be dependent on each other. II. The samples must be independent of each other. III. The populations from which the samples were obtained must be normally distri..

Determination of sample size depends on: I. sample variance II. population standard deviation III. degree of confidence IV. maximum error of estimate => II and III only or all of the above or II, III and IV only or I, III and IV only..

A random sample of 81 students was tested for the problem solving approach skills. The variance of the scores obtained from the sample was found to be 144. Find the 80% confidence interval for the variance and standard deviation. Assume that the variable is normally distrib..

90% confidence interval of a population mean(μ) worked out on a sample size of 50 is, 50 < μ < 56. What is the likely 90% confidence interval of the mean of the same population worked out on a sample size of 100? => 25 < μ < 28 or 51 <..