Computing of Test Statistic on Population Mean

It refers to a value calculated from sample data which is needed in deciding whether the null hypothesis is rejected or not.

• test statistics

• critical region

• null hypothesis

• alternative hypothesis

What test statistic will be used if the sample size is above 30?

• t-test

• z-test

• population mean

• standard deviation

What test statistic can be used when the population standard deviation is known?

• t-test

• z-test

• population mean

• standard deviation

What test statistic can be used when the population standard deviation is unknown?

• t – test

• z – test

• population mean

• standard deviation

When finding the z-computed value, which formula should be used for hypothesis testing?

• 
• 
• 
• 

When should you use the t-test?

I. When you are testing for a population mean

II. When the sample standard deviation is given

III. When the population standard deviation is given

IV. When you are testing a proportion/percentage of a population

• I and II

• II and III

• I and III

• II and IV

Given: 𝐻𝑜: μ = 8.6 𝐻𝑎: μ > 8.6

The study has a sample mean of 9.1 and a standard deviation of 2.1 conducted among 25 respondents. Use 𝛼 = 0. 05.

What test statistics should be used?

• t-test

• z-test

• population mean

• standard deviation

Given: 𝐻𝑜: μ = 8.6 𝐻𝑎: μ > 8.6

The study has a sample mean of 9.1 and a standard deviation of 2.1 conducted among 25 respondents. Use 𝛼 = 0. 05.

What is the computed value?

• -1.190

• -0.567

• 0.567

• 1.190

How many samples are best when dealing with z-test?

• cannot be determined

• exactly 30

• smaller than 30

• equal or larger than 30

The Choco Toppings, Inc. is one of the manufacturers of chocolate toppings which uses a machine to dispense liquid ingredients into bottles that move along a filling line. The owner claims that the machine can dispense at an average of 50 grams with a standard deviation of 0.7 grams. A sample of 35 bottles was selected and it was found out that the average amount dispensed in the sample is 49.3 grams. Test the claims of the owner of the company at 5% level of significance.

Which of the following information is correct?

• 𝛼 = 0.5

• 𝜎 = 0.7

• 𝑥̅ = 35

• 𝜇 = 49.3