Statistics and Probability Summative Test

It is the set of values of a test statistic for which

the null hypothesis is rejected.

• Error Region

• Critical Region

• Acceptance Region

• Non-Rejection Region

Which of the following describes an alternative

hypothesis using a two-tailed test?

• A. 𝐻𝑎 = 100

• B. 𝐻𝑎 ≠ 100

• C. 𝐻𝑎 > 100

• D. 𝐻𝑎 < 100

Which of the following is a Type II error?

• A. 𝐻0 is true; reject 𝐻0.

• B. 𝐻0 is false; reject 𝐻0.

• C. 𝐻0 is true; fail to reject 𝐻0.

• D. 𝐻0 is false; fail to reject 𝐻0.

A fast-food outlet claims that the mean waiting

time in line is less than 1.9 minutes. A random

sample of 20 customers has a mean of 1.7

minutes with a standard deviation of 0.8

minutes. Test the fast-food outlet's claim at 𝑎 =

0.05. What is the parameter in the problem?

• A. Mean of 1.7 minutes

• B. The level of significance = 0.05

• C. Random sample of 20 costumers

• D. The mean waiting time in line is less

  than 1.9 minutes

Which of the following statement DOES NOT

belong to the group?

• A. Mario was convicted to a crime he didn’t

  do.

• B. Ana believes the false rumors about her

  best friend.

• C. Lisa’s friend has birthday today but she

  doesn't wish her happy birthday.

• D. A man was tested to be COVID-19

  positive but still insists that he is not

  infected by the virus.

Which of the following are the steps in identifying

the parameters to be tested?

I. Look for the parameter being used.

II. Determine the value of the given

parameter.

III. Translate the parameter into symbol.

IV. Convert the parameter into sample

statistic.

• A. I and II only

• B. III and IV only

• C. I, II, and III

• D. I, II, III and IV

In formulating the null hypothesis, what

mathematical symbol is applicable to use in the

statement, “The average score of Grade 11

(ABM) in Business Statistics is 75.”?

• A. <

• B. >

• C. =

• D. ≠

A scientist invented a substance that increases

the life of an automobile battery. If the mean

lifetime of the battery is 24 months, then what

are his hypotheses?

• A. 𝐻𝑜: 𝜇 = 24, 𝐻𝑎: 𝜇 ≠ 24

• B. 𝐻𝑜: 𝜇 = 24, 𝐻𝑎: 𝜇 > 24

• C. 𝐻𝑜: ρ = 24, 𝐻𝑎: ρ ≠ 24

• D. 𝐻𝑜: ρ = 24, 𝐻𝑎: ρ > 24

The t-test for a single sample mean may be used

when all the following conditions are true

EXCEPT ____________.

• A. Sample size is less than 30.

• B. Sample standard deviation (𝑠) is known.

• C. Population standard deviation (𝜎) is

  known.

• D. Data are approximately normally

  distributed.

A company claims that the mean weight of

bananas they ship is 150 grams with a standard

deviation of 18 grams. Data generated from a

sample of 49 bananas randomly selected from a

shipment indicated a mean weight of 153.5

grams. Determine the hypotheses and

appropriate test-statistic to be used.

• A. 𝐻𝑜: µ = 150, 𝐻𝑎: µ ≠ 150; t-test

• B. 𝐻𝑜: µ = 150, 𝐻𝑎: µ ≠ 150; z-test

• C. 𝐻𝑜: µ = 153.5, 𝐻𝑎: µ ≠ 153.5; t-test

• D. 𝐻𝑜: µ = 153.5, 𝐻𝑎: µ ≠ 153.5; z-test