 Show 1. Which of the following is a fundamental difference between a t statistic and a z-score? a.The t statistic uses the sample mean in place of the population mean. b.The t statistic uses the sample variance in place of the population variance. c.The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n. d.None of these are differences between t and z. 2. Which bit of information is not obtainable from the results of a t-test written up in a statistical report? a.the alpha level used in the hypothesis test b.whether the null hypothesis is rejected or fails to be rejected c.the degrees of freedom used in the hypothesis test d.Each of these bits of information is obtainable from the results of a t-test written up in a statistical report. 3. Why are t statistics more variable than z-scores? a.The extra variability is caused by variations in the sample mean. b.The extra variability is caused by variations in the sample variance. c.The extra variability is caused by variations in the population mean. d.The extra variability is caused by variations in experimental control. 4. Under what circumstances can a very small treatment effect be statistically significant? a.if the sample size is large and the sample variance is small Transcribed Image Text:1. Which of the following is a fundamental difference between the t statistic and a z-score? The t statistic uses the sample mean in place of а. the population mean. The t statistic uses the sample variance in place b. of the population variance. The t statistic computes the standard error by c. dividing the standard deviation by n - 1 instead of dividing by n. d. All of these are differences between t and z. 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Publisher:Cengage Learning, Basic Technical Mathematics ISBN:9780134437705 Author:Washington Publisher:PEARSON Topology ISBN:9780134689517 Author:Munkres, James R. Publisher:Pearson, What is the fundamental difference between t statistic and z score?Z score is the subtraction of the population mean from the raw score and then divides the result with population standard deviation. T score is a conversion of raw data to the standard score when the conversion is based on the sample mean and sample standard deviation.
What is the difference between T and Z statistics?A z-test, like a t-test, is a form of hypothesis testing. Where a t-test looks at two sets of data that are different from each other — with no standard deviation or variance — a z-test views the averages of data sets that are different from each other but have the standard deviation or variance given.
How is the t distribution different from the Z score?What's the key difference between the t- and z-distributions? The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.
How is the tA statistic used to summarize sample data in situations where the population standard deviation is not known. The t statistic is similar to a z-score for a sample mean, but the t statistic uses an estimate of the standard error.
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Which of the following is a fundamental difference between the t statistic and a z-score?
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