Take your time to read instructions before taking this test.

There are 40 questions which you are to answer in 15 minutes that gives you roughly 30 seconds per question.

If you can get at least 60%, you can be rest assured that you’ll ace MTH 232 exam

In a normal exam you will be asked between 40 – 60 questions but I only arranged 40 questions

Note

Do not be in a hurry to answer the questions
Do not waste time on a question you don’t know
Move as fast as possible and starting with questions that don’t have calculation first to save time
Always crosscheck
Don’t be in a hurry to submit, you are not in a competition
Don’t be scared. Getting an A is easy
Don’t be over confident, you can end up a D, E or F. Calm your blood, no be only you sabi book
Please do well to use our comment box incase there’s a message you want to pass to us

70 – 100 A

60 – 69 B

50 – 59 C

45 – 49 D

40 – 44 E

0 – 39 F

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MTH 232

1 / 40

1. A null hypothesis (H₀) typically assumes

A. the mean of samples is unequal

B. no difference or effect exists

C. there is a significant difference

D. the parameter increases over time

2 / 40

2. Probability of picking a white rabbit first from a cage with 4 red, 3 white, and 5 black rabbits

A. 4/11

B. 6/11

C. 5/11

D. 3/11

3 / 40

3. A test of population variance often uses

A. Mean comparison

B. t-distribution

C. Normal distribution

D. Chi-square distribution

4 / 40

4. Two events are dependent if

A. Their union equals 1

B. Their intersection is zero

C. The probability of one affects the other

D. They are mutually exclusive

5 / 40

5. A statistical hypothesis refers to

A. an assumption about a population parameter

B. a known truth about a sample

C. a definite conclusion from a study

D. an untestable belief about data

6 / 40

6. In a probability tree, the sum of all final branch probabilities

A. Equals 1

B. Can exceed 1

C. Always 0

D. Depends on number of outcomes

7 / 40

7. From two die rolls, the number of total possible outcomes is

A. 24

B. 18

C. 12

D. 36

8 / 40

8. In small sample confidence intervals for the mean, the critical value is obtained from

A. Z-table

B. Poisson table

C. T-distribution

D. Chi-square table

9 / 40

9. Tossing a coin three times, number of possible outcomes

A. 4

B. 6

C. 12

D. 8

10 / 40

10. The sample space of tossing a fair die is

A. 7, 9, 11

B. {1, 3, 5, 7, 9, 11}

C. {Even, Odd}

D. {1, 2, 3, 4, 5, 6}

11 / 40

11. For small sample hypothesis testing, the test statistic used is typically

A. chi-square test

B. z-test

C. t-test

D. F-test

12 / 40

12. An increase in sample size generally results in

A. Narrower confidence interval

B. Lower confidence level

C. Higher standard deviation

D. Larger error margin

13 / 40

13. The probability of drawing a female student from a class of 150 students, with 80 males, is

A. 0.467

B. 0.5

C. 0.6

D. 0.2

14 / 40

14. A statistic is considered unbiased if its expected value equals

A. The population parameter

B. The sample standard deviation

C. The range of the population

D. The median of the sample

15 / 40

15. For a large sample, confidence interval for the population mean is based on

A. Poisson distribution

B. Chi-square distribution

C. Z-distribution

D. F-distribution

16 / 40

16. A student has a 0.8 chance of passing on first exam attempt. If failed, 0.5 on second, 0.2 on third. Probability student passes eventually

A. 0.95

B. 0.9

C. 0.8

D. 0.7

17 / 40

17. Three items are drawn without replacement from a lot of 12 items with 5 defectives. Probability all are non-defective

A. 7/12. 2/18. 1/12

B. 7/16. 6/11. 5/10

C. 5/12. 4/11. 3/10

D. 1/2. 12/24. 18/36

18 / 40

18. The maximum probability of committing a Type I error is called

A. Level of significance

B. Level of risk

C. Decision interval

D. Confidence level

19 / 40

19. If a woman has 5 children, and 3 are boys, the number of girls is

A. 5

B. 3

C. 2

D. 4

20 / 40

20. Confidence intervals for the ratio of two population variances are calculated using

A. Chi-square distribution

B. Normal distribution

C. T-distribution

D. F-distribution

21 / 40

21. Among estimators with the same mean, the more efficient one is the one with

A. Larger bias

B. Larger variance

C. Smaller variance

D. Greater sample size

22 / 40

22. In the F-test, the null hypothesis generally assumes

A. population means are unequal

B. population proportions differ

C. population variances are equal

D. sample means are equal

23 / 40

23. The standardized test statistic for a large sample test of means is

A. F = σ₁²/σ₂²

B. χ² = (x̄ − μ)²/σ²

C. t = (x̄ − μ)/(s/√n)

D. z = (x̄ − μ)/(σ/√n)

24 / 40

24. Rejecting a true null hypothesis results in

A. Sampling error

B. Type I error

C. Type II error

D. Estimation error

25 / 40

25. Choosing one red and one black rabbit in two draws without replacement from 4 red, 3 white, 5 black rabbits

A. 24/132

B. 40/132

C. 12/132

D. 20/132

26 / 40

26. The addition law of probability is applied when

A. Two events occur at the same time

B. Both events always occur

C. One event excludes another

D. Either one or the other event occurs

27 / 40

27. Without replacement, probability of two white rabbits from a cage of 3 white among 12 rabbits

A. 1/12

B. 1/11

C. 1/22

D. 3/44

28 / 40

28. A statistical experiment involves outcomes where the result cannot be predicted in advance. Tossing a coin is an example of

A. Mutually exclusive event

B. Random process

C. Deterministic event

D. Statistical experiment

29 / 40

29. From three coin tosses, probability of getting two or more heads

A. 4/8

B. 1/8

C. 5/8

D. 3/8

30 / 40

30. A one-tailed test is preferred when

A. the test statistic is unknown

B. detecting any difference is important

C. the direction of effect is specified

D. sample sizes are large

31 / 40

31. A sample statistic is said to be consistent if it

A. Equals the median

B. Converges in probability to the parameter

C. Remains constant across samples

D. Has a narrow confidence interval

32 / 40

32. The probability of any event must lie

A. Between 1 and 10

B. Between 0 and 1

C. Between 0 and 100

D. Between –1 and 1

33 / 40

33. A 95% confidence interval implies the value of the parameter lies within the interval

A. With 5% certainty

B. Always

C. With 95% certainty

D. Only if the sample is small

34 / 40

34. Events that cannot happen together are called

A. Independent events

B. Combined events

C. Conditional events

D. Mutually exclusive events

35 / 40

35. Conditional probability P(A∣B) is defined as

A. P(A) + P(B)

B. P(B)/P(A)

C. P(A) x P(B)

D. P(A∩B)/P(B)

36 / 40

36. Estimation of a population parameter using a single statistic from a sample is called

A. Point estimation

B. Interval estimation

C. Variance estimation

D. Confidence estimation

37 / 40

37. A two-tailed test is appropriate when the alternative hypothesis is

A. H₁: μ ≠ μ₀

B. H₁: μ = μ₀

C. H₁: μ < μ₀

D. H₁: μ < μ₀

38 / 40

38. Tossing a die and tossing a coin are examples of

A. Non-statistical events

B. Mutually exclusive events

C. Dependent events

D. Independent events

39 / 40

39. The standard deviation of a sample used to estimate a population standard deviation is

A. Equal to the mean

B. An unbiased estimator

C. Always consistent

D. Always biased

40 / 40

40. A statistical hypothesis refers to

A. a known truth about a sample

B. a definite conclusion from a study

C. an assumption about a population parameter

D. an untestable belief about data

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David

1 day ago

You are doing a Nice job bro.
This is perfectly according to the AOC for Academic session 2024/25

Author

Aruwaji Philip

Reply to David

Thank you for visiting.

Q37 = 1/22 (Option A)

I’ll look into that.

Q40: 3/12

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