Understanding Hypothesis Testing

Which test statistic is most suitable when the population variance is unknown and the sample size is small?

Under what condition is the one-sample z-statistic preferred over the one-sample t-statistic?

According to the Central Limit Theorem, which statistical test is preferable when dealing with a very large sample size and a known variance?

What characteristic makes the z-test/statistic an appropriate choice?

Which test is most suitable when dealing with a non-normal distribution, a large sample size, and an unknown population variance?

Which notation is essential for identifying the correct test statistic used to compute a test value?

For a sample of $n = 100$ selected from a normal population, with a sample mean $\bar{x} = 56$ and sample standard deviation $s=12$, which statistical test is applicable?

When can the t-test for a single sample mean be applied?

For a simple random sample of 150 observations from a large population, a sample average of 70, and a sample standard deviation of 16, what is the value of the estimated standard error of the mean ($s_{\bar{x}}$)?

A tire firm assesses the braking distance using 10 cars on both wet and dry surfaces, with established σ. Which test statistic fits?

A food plan aims to boost corn yield. 60 plots give a mean of 3,200 kgs ($\sigma$ = 600 kgs). At α = .05, did yield increase? Which test should be used?

A survey says college students average P200 monthly with σ = P62. A teacher surveys 80 students, finding P245 average. What is the population standard deviation in this case?

A real estate agent believes average closing cost is P328,250. A sample of 40 sales averages P333,300, $\sigma$ is P6,060. What test fits?

A random sample of 29 doctors shows 55 weekly work hours with $s$ = 7.5 hours. If average is 48, is the evidence significantly greater? What statistic fits?

The government claimed that the average income of Filipino people was P18,000 in 2015, but a recent sample indicated that the average income was P20,000, where $\sigma$ is P1,300. What is the appropriate test statistic?

A researcher is studying the effects of a new teaching method on student test scores. They collect data from 35 students. Which would lead the use of a t-test rather than a z-test?

In hypothesis testing, what does the test statistic primarily help to determine?

In the context of a population and a sample, which of the following statements is most accurate?

Which of the following correctly describes population standard deviation ($\sigma$) and sample standard deviation (s)?

A researcher wants to test if a sample came from a population with a specific mean, with a population of unknown variance, but is concerned about the distribution. What assumption addresses this concern?

When can a z-score still be utilized, even if the population standard deviation σ is unknown?

What is a critical consideration when original population is normal and the population standard deviation is known, no matter how the sample size is?

What is the primary purpose of using test statistics, such as z-test or t-test, in statistical analysis?

A researcher is deciding between using a z-test and a t-test. What is the most important factor they should consider?

In statistical hypothesis testing, what role does the Central Limit Theorem (CLT) play when the population distribution is not normal?

What condition must be satisfied in order to use a t-test if the sample size is small?

Which of the following is an example of a test statistic?

Which of the following is TRUE regarding sample means?