T-tests

It is a random variable that is calculated from sample data and used in a hypothesis test.

• Sample

• t-test

• test statistic

• z-test

what test is appropriate for extremely large sample size?

• z-test

• t-test

• central limit theorem

• cannot be determined

In a recent survey, the average amount of money

students have in their pockets is $5.40 with a standard

deviation of $1.20. A teacher feels that the average

amount is actually higher. She surveys 80 randomly

selected students and finds the average amount is

$5.50. At α = 0.05, do we accept or reject the null hypothesis?

• Accept H₀

• Reject H₀

The average cost of a speeding ticket is $155. The population standard deviation is $10.78. A random sample of 35 speeding ticket court cases showed that the mean cost was $152.59. At the 0.05 significance level, is that less than $155?

• Yes, there is a significant difference

• Yes, there is not a significant difference

• No, there is a significant difference

• No, there is not a significant difference

A car manufacturer advertises that its new subcompact models get an mean of 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated? 

• H₀ p= 47
  H_a = 47
• H₀ µ= 47
  H_a < 47
• Ha p= 47
  H_a > 47
• Ha µ= 47
  H_a ≠ 47

The Basketball Team for the Central Visayas Region (CVRBT) implemented a height requirement for players who want to try out. You want to check if the average height of the school's basketball team is significantly different from that of the running average height of the CVRBT. So you randomly sampled 15 players from the school's basketball team and compared it with CVRBT's running average. What test should be used?

• The Central Limit Theorem

• One-sample T-test

• Independent T-test

• Dependent T-test

This test is used if you want to compare numerical data or responses between two independent samples.

• The Independent T-test

• The Dependent T-test

• One-sample T-test

• Z-test

This test is used if you want to compare to groups of data or responses wherein one group of data is reliant on the other group.

• Independent T-test

• Dependent T-test

• Z-test

• One-sample T-test

The P-value or probability value, tells you how likely it is that your data could have occurred under the null hypothesis.

• True

• False

What is the verdict of a right-tailed t-test if:
The P-value is 0.049 and the alpha is 0.05

• The null hypothesis is rejected

• The null hypothesis is accepted