StatProb Lesson 5 Exercise 8 (SY 24 - 25)

Which refers to a method for testing a claim or hypothesis about a population parameter using sample data?

• Hypothesis testing

• Level of significance

• Test statistic

• Rejection region

Which of the following is a possible form of the null hypothesis? Check all that apply.

Determine the null and alternative hypotheses:

On the average, Filipinos use Facebook for 4.17 hours per day.

Determine the null and alternative hypotheses:

The mean annual income of workers who are college graduates is at least P100,000 per year.

Determine the null and alternative hypotheses:

The mean number of cars a person owns in his lifetime is not more than 10.

Which of the following alternative hypotheses will require a one-tailed test? Check all that apply.

z-test or t-test?

normal population, n = 25, and s = 5

• z-test

• t-test

The leader of the association of jeepney drivers claims that the average take home pay of jeepney drivers in Quezon City is Php 500. You want to find out if the average daily take home pay of jeepney drivers in Quezon City is different from Php 500. A random sample of 100 jeepney drivers in Quezon City was interviewed and the average daily take home pay of these drivers is found to be Php 525 with a standard deviation of 92. What is the test statistic (3 d.p.)?

A fast food restaurant estimates that the mean sodium content of one of its breakfast sandwiches is not more than 920 milligrams. A random sample of 29 breakfast sandwiches has a mean sodium content of 925. Assume that the population standard deviation is 18 milligrams and that the population is normally distributed. What is the test statistic (3 d.p.)?

A used car dealer says that the mean price of a 2017 Honda CR-V is at least Php 800,000. A random sample of 14 similar vehicles has a mean price of Php 780,000 and a standard deviation of Php 54,000. Assume the population is normally distributed. What is the test statistic (3 d.p.)?