Statistics- z scores can be used for which of the following purposes

Question 1z scores can be used for which of the following purposes?A.Comparing variables from different scalesB.Determine relative frequency of scoresC.Describe a score’s relative locationD.All of the above2.5 points Question 2If we convert a set of raw scores to z scores, the shape of the distribution will:A.Become more symmetricB.Become more skewedC.Become more like the bell-shaped normal curveD.Remain the same2.5 points Question 3If a data set has a mean of 67.0 and a standard deviation of 4.0, then a raw score of 60 is equal to a z score of:A.–2.00B.–1.75C.–1.60D.–1.502.5 points Question 4If we draw one case at random from a population where the raw scores are normally distributed, which of the following is most likely to occur?A.The computed z score would be between 0 and –0.25.B.The computed z score would be between +1.00 and +1.25.C.The computed z score would be between +2.00 and +2.25.D.All of the above are equally likely.2.5 points Question 5When testing a hypothesis about the mean of one population, the only way to avoid sampling error is to:A.Use the standard error of the meanB.Use a random sampleC.Draw a large number of samplesD.Measure the entire population2.5 points Question 6If a sample size is very small, which of the following is more likely?A.A false positive—erroneously concluding that the researcher’s theory has been supportedB.A false negative—erroneously concluding that the researcher’s theory was not supportedC.Both of the above are equally likelyD.Neither of the above—sample size has no effect on the likelihood of a false positive or a false negative2.5 points Question 7If the results of a statistical test indicate that we should retain the null hypothesis, the accepted way to state the conclusion is:A.We accept the null hypothesis as true.B.There is not sufficient reason to reject the null hypothesis.C.The experimenter’s theory is wrong.D.None of the above are reasonable.2.5 points Question 8A researcher wishes to test the hypothesis that the mean IQ at a particular university is different from the average of 100. The researcher obtains a sample of 146 students. The mean of this sample is 103.6, and the standard deviation is 15.0.The null hypothesis states that the sample mean is:A.Not statistically significantly different from 100B.Statistically significantly different from 100C.Less than 100D.Greater than 1002.5 points Question 9A researcher wishes to test the hypothesis that the mean IQ at a particular university is different from the average of 100. The researcher obtains a sample of 146 students. The mean of this sample is 103.6, and the standard deviation is 15.0.The alternative hypothesis states that the sample mean is:A.Not statistically significantly different from 100B.Statistically significantly different from 100C.Less than 100D.Greater than 1002.5 points Question 10A researcher wishes to test the hypothesis that the mean IQ at a particular university is different from the average of 100. The researcher obtains a sample of 146 students. The mean of this sample is 103.6, and the standard deviation is 15.0.If the statistical analysis indicates that the null hypothesis should be retained, the researcher should conclude that the sample mean at their particular university is:A.Not statistically significantly different from 100.0B.Statistically significantly different from 100.0C.Less than 100.0D.Greater than 100.0