STAT & PROB SUMMATIVE TEST

What is the method of testing a claim or hypothesis about a parameter in a population given a data sample?

• Regression analysis

• Hypothesis testing

• Cluster analysis

• Factorial design

When is a z-test appropriate to use in hypothesis testing?

• When the sample standard deviation is known

• When the population standard deviation is known

• When the sample size is less than 30

• When the population is not normally distributed

What is the appropriate test statistic to use when the population standard deviation is unknown and the sample size is less than 30?

• T-test

• Z-test

• ANOVA test

• Chi-square test

What is the purpose of the Central Limit Theorem in hypothesis testing?

• To ensure the test statistic has a standard normal distribution

• To calculate the p-value

• To determine the sample size

• To estimate the population mean

In a z-test, what is calculated with population parameters such as population mean and population standard deviation?

• Confidence interval

• Z-score

• P-value

• T-statistic

When is a t-test used in hypothesis testing?

• When the population variance or standard deviation are not known

• When the sample size is large

• When the population variance is known

• When the population standard deviation is known

What does a test statistic compare in hypothesis testing?

• Sample data with the sample mean

• Sample data with the null hypothesis

• Sample data with the alternative hypothesis

• Sample data with the population mean

What is the sample mean used as an estimate of in hypothesis testing?

• Variance

• Population standard deviation

• Population mean

• Sample standard deviation

In a sample n=100 selected from a normal population 𝑥̅= 56 and 𝑠 = 12, what statistical test is applicable?

• t-test

• z-test

• left-tailed test

• two-tailed test

In the given situation below, identify the population standard deviation. “In a recent survey, the average amount of money a college student gets is ₱200.00 with a standard deviation of ₱62.00. A teacher feels that the average amount is higher. She surveys 80 randomly selected students and finds that the average amount is ₱245.”

• 𝜎 = ₱245

• 𝜎 = ₱200

• 𝜎 = ₱62.00

• 𝜎 = ₱80