Define random sample. Explain why this is important in design of experiments.

Q: what is the difference between sampling with replacement and without replacement?

A: Sampling with out replacement :  if a sample is drawn from a population and all units in population…

Q: Discuss the random sampling and the sampling distribution of the sample average?

A: Simple random sampling: A simple random sample of size n is collected from a large population where…

Q: Explain the Difference between the sample space and random variables?

A: Sample space: The sample space is the collection of all outcomes, if a random experiment is…

Q: What is a sampling error? How does it differ from other sources of error? In general, how does the…

A: The total or entire group of data that are subject to study is regarded as population. Sample, on…

Q: What is the difference between a simple random sample and systemic sample?

A: In a systematic sample, the only samples possible are those including every kth item from the random…

Q: What is the difference between a fixed effect factor and a random effect factor?

A: The fixed effect factor is defined as when data has been gathered from all the levels of the factor…

Q: What information do you need to decide on a sample size that will provide adequate statistical…

A: Adequate statistical power is the power of probability with the rejected null hypothesis. Generally,…

Q: A new vegetable fertilizer is to be tested at two different levels (regular concentration and double…

A: This question is about designing an experiment to test the effectiveness of a new vegetable…

Q: level of significance and sample size

A: Level of significance: It is the probability of rejecting H0 when H0 is true. Sample size: it is…

Q: What shape do we need the sampling distribution of sample means to be to do a hypothesis test ?

A: In hypothesis test, sampling distribution of sample mean is Normal distribution. Normal distribution…

Q: Define significance of Random sampling?

A:

Q: The sample size is 40, why not use the " one mean z-test?

A: Sample size n=40 Sum of observations ∑x=1200 The sum of the square of observations ∑x2 85000…

Q: What test can we use to determine the sample size needed?

A: Confidence intervals for a parameter take the following general form: Point Estimate ± Margin of…

Q: Provide an example (different from the ones considered in this section) of a procedure based on a…

A: A researcher wants to test the effectiveness of the training program conducted for students to…

Q: Randomization is one of the basic principles of Design of Experiments (DOE). Explain what…

A: Solution-:  Randomization is one of the basic principles of Design of Experiments (DOE). Explain…

Q: Describe how you would implement a completely randomized design of the Jennifer/John experiment,…

A: This question describes the implementation of a completely randomized design for an experiment…

Q: What is a sampling error and how does it differ from other sources of error, how does it increase…

A: Sampling Error is the error obtained from sample values with respect to the population value.…

Q: Explain Standard Error of the Sampling Distribution.

A:

Q: If the sample size is increased, the margin of error will decrease.   True or False

A: Given statement : " If the sample size is increased, the margin of error will decrease "