Statistics and Probability Long Quiz

It is the statistical method used in making decisions using experimental data.

• observation

• simple analysis

• analytical testing

• hypothesis testing

What term is being used to describe a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable?

• statistic

• decision

• hypothesis

• probability

What term is being used to describe a point (boundary) on the test distribution that is compared to the test statistic to determine if the null hypothesis would be rejected?

• Critical Value

• Computed Value

• Rejection Region

• Non-Rejection Region

Which of the following would be an appropriate null hypothesis?

• The mean of a sample is equal to 80.

• The mean of a population is equal to 80.

• The mean of a population is not equal to 80.

• The mean of a population is greater than 80.

Which of the following describes a null hypothesis using two-tailed test?

• 𝐻0: 𝜇 = 𝜇0

• 𝐻0: 𝜇 ≠ 𝜇0

• 𝐻0: 𝜇 ≥ 𝜇0

• 𝐻0: 𝜇 ≤ 𝜇0

Which of the following describes an alternative hypothesis using two-tailed test?

• 𝐻𝑎: 𝜇 < 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻𝑎: 𝜇 > 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

• 𝐻𝑎: 𝜇 = 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑

Which of the following must be used as the significance level if we want a lower possibility of correct decision?

• 1%

• 2%

• 5%

• 10%

Which of the following would be an appropriate alternative hypothesis for one-tailed test?

• 𝐻𝑎: 𝜇 = 85

• 𝐻𝑎: 𝜇 ≥ 85

• 𝐻𝑎: 𝜇 ≥ 85

• 𝐻𝑎: 𝜇 < 85

In a one-tailed test, in which critical values below will the computed z of 2.312 falls in the non-rejection region?

• 1.383

• 1.533

• 2.228

• 2.354

When is a Type I error committed?

• We reject a null hypothesis that is true.

• We reject a null hypothesis that is false.

• We fail to reject a null hypothesis that is true.

• We fail to reject a null hypothesis that is false.