Understanding the sampling distribution of M. You are interested in estimating t
ID: 3242120 • Letter: U
Question
Understanding the sampling distribution of M. You are interested in estimating the mean of a population. You plan to take random sample from the population and use the sample's mean as an estimate of the population mean. Assuming that the population from which you select your sample is not normal, which of the statements about M are true? Check all that apply. the sampling distribution of the 2 middot score is normal for any sample size. You can assume that the sampling distribution of M is normally distributed for any sample size the expected value of M is equal to the value of the population mean you can only assume that the sampling distribution for sufficiently large sample sizes The steps of hypothesis testing you intend to draw a random sample in order to test a hypothesis about an unknown population mean. you will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Rank 1 - 4 (1 - being the FIRST step 4 -being the LAST step) Select a level of significance Make a decision about the unknown population Determine the null and alternative hypothesis Collect the data and compute the sample statisticExplanation / Answer
4. We know sample mean is an unbiased estimator of the population mean. So expected value of the sample mean will be equal to the population mean i.e. expected value of M is equal to the value of the population mean.
Again if the population distribution is not normal then we can assume sampling distribution of M is normal only for sufficiently large sample sizes.
So the 3rd and 4th statements are correct.
3. The correct order of steps for hypothesis testing is given by:
(i) Make decision about the unknown population.
(ii) Determine the null and alternative hypotheses.
(iii) Collect the data and compute the sample statistic.
(iv) Select a level of significance.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.