Choosing The Right Test Statistic (Day 2)

What is the symbol for the population mean?

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If the variance is unknown and the sample size is small, which test statistic is appropriate?

• one-tailed test

• two-tailed test

• z-test

• t-test

One-sample z-statistic is used instead of one-sample t-statistic when ___________.

• μ is known.

• σ is known.

• σ is unknown

• μ is unknown.

Based on the Central Limit Theorem, when the sample (n) is extremely large and the variance is known, what is the statistical test to be used?

• one-tailed test

• two-tailed test

• z-test

• t-test

Which of the following characteristics can be considered in using z-test/statistic as an appropriate test?

• Sample standard deviation is known.

• Population is not normally distributed.

• The sample size is greater than 30.

• Population standard deviation is unknown.

What test is appropriate if the distribution is not normal, there is a sufficiently large sample size, and population variance is unknown?

• null test

• hypothesis test

• z-test

• t-test

What test statistic is appropriate when the population variance is known?

• ANOVA

• chi-square test

• z-test

• t-test

When is a t-test used instead of a z-test?

• σ is unknown

• μ is unknown

• σ is known

• μ is known

Based on the Central Limit Theorem, when the sample size is extremely large and the variance is unknown, what is the statistical test to be used?

• z-test

• one-tailed test

• t-test

• two-tailed test

Which of the following is NOT a consideration in using z-test/statistic?

• Variance is known

• Population standard deviation is known

• Sample standard deviation is known

• The population mean is less than 30