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Unit 4 II Maths stat

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

The mean of the sampling distribution of the sample mean is:

a)

Always zero

b)

Equal to population mean

c)

Greater than population mean

d)

Sample variance

2.

The standard deviation of the sampling distribution is called:

a)

Variance

b)

Mean deviation

c)

Standard error

d)

Sampling bias

3.

As sample size increases, the standard error:

a)

Increases

b)

Decreases

c)

Remains constant

d)

Becomes zero

4.

The standard error of the sample mean is:

a)

σ

b)

σ/√n

c)

√σ

d)

5.

The larger the sample size, the:

a)

Less reliable the results

b)

Greater the variability

c)

Smaller the standard error

d)

Larger the standard error

6.

A statistic is:

a)

A population parameter

b)

A function of sample observations

c)

Always equal to the mean

d)

Population data

7.

A sampling distribution becomes normal when:

a)

Sample size is large (Central Limit Theorem)

b)

Population is small

c)

Variance is zero

d)

Mean is zero

8.

Large sample tests are applicable when:

a)

n < 30

b)

n ≥ 30

c)

n = 10

d)

n ≤ 10

9.

In large samples, the test statistic for mean is based on:

a)

Student's t-distribution

b)

F-distribution

c)

Z-distribution

d)

Poisson distribution

10.

For two large independent samples with means x̅1, x̅2 the test statistic is:

a)

Z=x̅1 + x̅2 / σ

b)

Z = x̅1 - x̅2 / √(σ₁²∕n₁ + σ₂²∕n₂)

c)

Z = x̅₁ - x̅₂

d)

Z = σ₁ + σ₂

11.

For testing population mean μ using large sample, test statistic is:

a)

Z = x̅ − μ ∕ σ∕√n

b)

Z = μ - x̅ / √n

c)

Z = x̅ - μ

d)

Z = σ / √n

12.

In large sample tests, Z is:

a)

A t-value

b)

A percentile

c)

A standardized value

d)

A sample size

13.

The null hypothesis in a mean test is typically:

a)

H₀: μ ≠ μ₀

b)

H₀: μ = μ₀

c)

H₀: μ > μ₀

d)

H₀: x̄ = μ

14.

Critical values for Z at 5% level (two-tailed) is:

a)

±1.64

b)

±1.96

c)

±2.33

d)

±2.58

15.

If test statistic lies beyond the critical value:

a)

Reject H₀

b)

Accept H₀

c)

Increase n

d)

Do not reject H₀

16.

A Z-value of 3.2 implies:

a)

Strong evidence against H₀

b)

No evidence against H₀

c)

Accept H₀

d)

Value is incorrect

17.

In large samples, if population is not normal, the sampling distribution:

a)

Becomes uniform

b)

Becomes normal (CLT)

c)

Is not defined

d)

Is Poisson

18.

If calculated Z < critical Z, we:

a)

Reject H₀

b)

Accept H₁

c)

Do not reject H₀

d)

Increase α

19.

The standard error of difference of two means is:

a)

σ

b)

√(σ₁²∕n₁ + σ₂²∕n₂)

c)

σ₁ + σ₂

d)

√n₁ + n₂

20.

A population proportion is denoted by:

a)

μ

b)

p

c)

σ

d)

21.

For proportion tests, the standard error is:

a)

√pq/n

b)

√p/n

c)

√pq

d)

p/q

22.

In proportion testing, p and q stand for:

a)

Mean and variance

b)

Z-values

c)

Sample means

d)

Success and failure probabilities

23.

The success probability in a binomial distribution is:

a)

b)

μ

c)

p

d)

σ

24.

In a two-proportion test, if p1 = 0.7, p2 = 0.6, n1 = 100, n2 = 100, pooled p =:

a)

0.6

b)

0.65

c)

0.5

d)

0.7

25.

In testing large sample proportions, if p = 0.5 and n = 100, SE is:

a)

0.05

b)

0.1

c)

√(0.25/100)

d)

√0.5