Which one of the following statements about a series of random samples of size 100 drawn from a large population known to be exponentially distributed is always correct?The distribution of the means of these samples will be exponentialThe standard deviation of the means of the samples will be the same as that of the overall populationThe means of these samples will all lie within 1% of the mean of the populationAs the number of samples taken increases, the distribution of the means of the samples tends to become more symmetric

You draw 10 samples (n=100) out of a population of 1000 people. If the sample mean of one of the samples is very different from the population mean, does this means this sample should not be analyzed?Question 1Answera.Trueb.FalseClear my choiceQuestion 2Not yet answeredMarked out of 1.00Flag questionTipsQuestion textFrom the distribution of a random variable X a random sample of size n is drawn. What is the distribution of ?Answer:A. normally distributedB. C.  a and bQuestion 2Answera.Ab.Bc.CClear my choiceQuestion 3Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhen you can apply the Central Limit Theorem, what does it tell us?Question 3Answera.population distribution is normally distributed.b.sampling distribution is normally distributed.c.population standard deviation is known.Clear my choiceQuestion 4Not yet answeredMarked out of 1.00Flag questionTipsQuestion textFrom the distribution of a random variable X a random sample of size n is drawn. What does x̄ represent?Question 4Answera.meanb.sample meanc.standard deviationClear my choiceQuestion 5Not yet answeredMarked out of 1.00Flag questionTipsQuestion textWhat does the law of large number say?Question 5Answera.as the sample size gets larger, the sample mean gets closer and closer to the population mean.b.as the sample size gets larger, the distribution of the sample means approaches a normal distributionc.a &b

A researcher takes a simple random sample of 50 recent Science graduates in full-time employment and calculates their mean salary. Which of the following is a true statement about distribution of the sample mean?Select one:a.The Central Limit Theorem tells us it is normal.b.It may not be normal because the sample size is large.c.It may not be normal because we don't know that the population is normal.d.It will not be normal because the sample size is small.

Suppose we compute the sample mean from 100 iid observations. Which of the following is NOT true?

If random large samples of equal size are repeatedly drawn from any population, then the average of the mean of sample means will be approximately the same as the population mean.Question 9Select one:TrueFalse

Suppose we take repeated random samples of size 20 from a population with a mean of 60 and a standard deviation of 8. Which of the following statements is true about the sampling distribution of the sample mean (x̄)? Check all that apply. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. The distribution will be normal as long as the population distribution is normal. The distribution's mean is the same as the population mean 60. The distribution's standard deviation is larger than the population standard deviation of 8.