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TEST OF HYPOTHESIS USING THE T-TEST

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.

A statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.

a)
b)
c)
d)
2.

The T-TEST is used when n < 30 and only the sample standard deviation is given as a basis for the estimation of the population standard deviation.

a)

TRUE

b)

FALSE

3.

Is only used when n<30 and only the sample standard deviation is given as a basis for the estimation of the population standard deviation.

(a)  

4.

Z-TEST is used for small for sizes (when n < 30) and when the population variance is unknown

a)

TRUE

b)

FALSE

5.

A t-test is a significance test that assesses

a)

The modes of two independent groups

b)

The medians of two dependent groups

c)

The standard deviation of the independent variables

d)

The means of two independent groups

6.

Which of these tests would use a t‐statistic rather than a z‐statistic?

a)

One sample mean test with a known population standard deviation

b)

One sample proportion test

c)

One sample mean test with an unknown population standard deviation

7.

The formulas used for the t-test are SIMILAR to the z-test

a)

FALSE

b)

TRUE

8.

The shape of a T-distribution is (a)   to that of a Z-distribution

9.

T-TEST is used for large (when n > 30) or when the population is know to be normally distributed with a given population variance

a)

T-Test

b)

Z-Test

10.

a is expressed as a percent

(a)  

11.

T-TEST is used for large (when n > 30) or when the population is known to be normally distributed with a given population variance

(a)  

12.

In reality, the null hypothesis may or may not be true, and a decision is made to reject or not to reject it on the basis of the data obtained from a sample.

a)

FALSE

b)

TRUE

13.

Which hypothesis is generally formulated to look for evidence to support a claim called a research hypothesis?

a)

alternative hypothesis

b)

null hypothesis

c)

statistical hypothesis

14.

What hypothesis states equality or no difference, or no relationship/effect?

a)

statistical hypothesis

b)

null hypothesis

c)

alternative hypothesis

15.

A two sample z‐test for the difference in population means is conducted. Which is NOT a possible alternative hypothesis?

a)
b)
c)
16.

The one-sample z statistic is used instead of the one-sample t-statistic when ____.

a)

σ is known

b)

μ is unknown

c)

μ is known

d)

σ is unknown

17.

T t-test formula to be used if n1 ≠ n2 is?

a)
b)
c)
d)
18.

a is expressed as a percent

a)

TRUE

b)

FALSE

19.

Z-TEST is used for large (when n > 30) or when the population is known to be normally distributed with a given population variance

a)

FALSE

b)

TRUE

20.

The difference between z-test and t-test?

4 lines