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

A. 5/8

B. 3/8

C. 1/8

D. 4/8

2 / 40

2. Rejecting a true null hypothesis results in

A. Sampling error

B. Type II error

C. Type I error

D. Estimation error

3 / 40

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

A. Non-statistical events

B. Dependent events

C. Mutually exclusive events

D. Independent events

4 / 40

4. The addition law of probability is applied when

A. Either one or the other event occurs

B. Two events occur at the same time

C. Both events always occur

D. One event excludes another

5 / 40

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

A. t-test

B. z-test

C. F-test

D. chi-square test

6 / 40

6. The probability of any event must lie

A. Between –1 and 1

B. Between 0 and 1

C. Between 1 and 10

D. Between 0 and 100

7 / 40

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

A. An unbiased estimator

B. Always biased

C. Equal to the mean

D. Always consistent

8 / 40

8. 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. Statistical experiment

C. Random process

D. Deterministic event

9 / 40

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

A. 12/132

B. 20/132

C. 40/132

D. 24/132

10 / 40

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

A. Chi-square distribution

B. F-distribution

C. Z-distribution

D. Poisson distribution

11 / 40

11. Events that cannot happen together are called

A. Mutually exclusive events

B. Independent events

C. Conditional events

D. Combined events

12 / 40

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

A. Point estimation

B. Confidence estimation

C. Variance estimation

D. Interval estimation

13 / 40

13. A null hypothesis (H₀) typically assumes

A. the mean of samples is unequal

B. the parameter increases over time

C. there is a significant difference

D. no difference or effect exists

14 / 40

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

A. Chi-square table

B. T-distribution

C. Z-table

D. Poisson table

15 / 40

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

A. 24

B. 12

C. 36

D. 18

16 / 40

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

A. Only if the sample is small

B. With 95% certainty

C. With 5% certainty

D. Always

17 / 40

17. A statistical hypothesis refers to

A. an assumption about a population parameter

B. an untestable belief about data

C. a definite conclusion from a study

D. a known truth about a sample

18 / 40

18. An increase in sample size generally results in

A. Narrower confidence interval

B. Higher standard deviation

C. Larger error margin

D. Lower confidence level

19 / 40

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

A. Level of risk

B. Confidence level

C. Decision interval

D. Level of significance

20 / 40

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

A. sample means are equal

B. population means are unequal

C. population proportions differ

D. population variances are equal

21 / 40

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

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

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

C. 7/12. 2/18. 1/12

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

22 / 40

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

A. The population parameter

B. The range of the population

C. The sample standard deviation

D. The median of the sample

23 / 40

23. 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

24 / 40

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

A. Greater sample size

B. Larger bias

C. Smaller variance

D. Larger variance

25 / 40

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

A. 8

B. 4

C. 6

D. 12

26 / 40

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

A. 0.2

B. 0.467

C. 0.6

D. 0.5

27 / 40

27. A statistical hypothesis refers to

A. an assumption about a population parameter

B. a definite conclusion from a study

C. a known truth about a sample

D. an untestable belief about data

28 / 40

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

A. 3/11

B. 6/11

C. 4/11

D. 5/11

29 / 40

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

A. Equals 1

B. Depends on number of outcomes

C. Can exceed 1

D. Always 0

30 / 40

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

A. 1/12

B. 1/22

C. 1/11

D. 3/44

31 / 40

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

A. z = (x̄ − μ)/(σ/√n)

B. χ² = (x̄ − μ)²/σ²

C. F = σ₁²/σ₂²

D. t = (x̄ − μ)/(s/√n)

32 / 40

32. The sample space of tossing a fair die is

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

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

C. 7, 9, 11

D. {Even, Odd}

33 / 40

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

A. P(A) x P(B)

B. P(A∩B)/P(B)

C. P(A) + P(B)

D. P(B)/P(A)

34 / 40

34. A one-tailed test is preferred when

A. the direction of effect is specified

B. the test statistic is unknown

C. sample sizes are large

D. detecting any difference is important

35 / 40

35. A test of population variance often uses

A. Chi-square distribution

B. t-distribution

C. Mean comparison

D. Normal distribution

36 / 40

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

A. Remains constant across samples

B. Converges in probability to the parameter

C. Equals the median

D. Has a narrow confidence interval

37 / 40

37. 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. 0.7

C. 0.9

D. 0.8

38 / 40

38. Two events are dependent if

A. Their intersection is zero

B. The probability of one affects the other

C. Their union equals 1

D. They are mutually exclusive

39 / 40

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

A. 3

B. 2

C. 4

D. 5

40 / 40

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

A. Chi-square distribution

B. F-distribution

C. Normal distribution

D. T-distribution

Your score is

The average score is 40%

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