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t distribution

Total questions: 20

Worksheet time: 9mins

Name
Class
Date
1.

What is the t-score associated with 90% confidence and a sample size of 15?

a)

A. 1.341

b)

B. 1.345

c)

C. 1.753

d)

D. 1.761

2.

What is the degrees of freedom equal to?

a)

A. n

b)

B. n + 1

c)

C. n - 1

d)

D. 1 - n

3.

A 90% confidence interval for the mean speed driven by cars on East Main St. is given by (21, 45). What was the sample mean of this study?

a)

A. 12

b)

B. 33

c)

C. 42

d)

D. None of these.

4.

What is the other term for t-distribution?

a)

A. Student’s T-Distribution

b)

B. Probability Distribution

c)

C. Percentile Distribution

d)

D. Z-Distribution

5.

Identify the t-value whose number of samples n = 9 and has an (𝛼) equal to 0.05.

a)

A. 0.261

b)

B. 1.860

c)

C. 1.833

d)

D. 3.355

6.

Find the t-value for a 99% confidence interval with a sample of 23 people.

a)

A. 1.714

b)

B. 2.064

c)

C. 1.711

d)

D. None of these.

7.

T-distribution is a probability distribution used to estimate parameters EXCEPT when________.

a)

A. The population standard deviation is known

b)

B. The sample size is small

c)

C. The population variance is unknown

d)

D. The sample size is small and the population variance is unknown

8.

This refers to the measure of position with data divided into 100 parts.

a)

Percentiles

b)

Deciles

c)

Quartiles

d)

Median

9.

What is the right-tailed area if the confidence interval is 75%?

a)

0.05

b)

0.10

c)

0.005

d)

0.25

10.

What will be the degree of freedom of the data whose sample size is 18?

a)

17

b)

18

c)

19

d)

20

11.

Identify the t-value whose number of samples n = 9 and has an area (𝛼) equal to 0.05

a)

0.261

b)

1.833

c)

1.860

d)

3.355

12.

Identify the t-value whose number of samples n = 2 and has an area (𝛼) equal to 0.40

a)

0.289

b)

0.325

c)

0.277

d)

0.816

13.

Identify the t-value whose number of samples n = 11 and has an area (𝛼) equal to 0.25

a)

0.700

b)

0.697

c)

1.372

d)

0.260

14.

What is the degree of freedom if the sample size is 20?

a)

21

b)

19

c)

20

d)

18

15.

What is the right-tailed area if the confidence interval is 60%?

a)

0.040

b)

0.40

c)

0.004

d)

0.0004

16.

It is used with small samples taken from population that is approximately normal.

a)

z-distribution

b)

t-distribution

c)

population variance

d)

sample mean

17.
Who developed the t-distribution in 1908?
a)
William S. Gosset
b)
Wilhem G. Student
c)
Ronald A. Fisher
d)
a student from Gosset Academy
18.
When do we say that the sample size is sufficiently large?
a)
When it is greater than or equal to 10.
b)
When it is greater than or equal to 20.
c)
When it is greater than or equal to 30.
d)
When it is greater than or equal to 40.
19.
In Student’s t-distribution, if the sample size is 25, what is the degree of freedom?
a)
5
b)
24
c)
25
d)
26
20.
When do you use t-distribution instead of normal distribution?
a)
When the sample size is less than 30.
b)
If the sample standard deviation is unknown
c)
If the population standard deviation is known
d)
When the sample size is greater than or equal to 30