MCQs of Applied Statistics (Probability and Statistics - 3130006)

Probability and Statistics (3130006) MCQs

MCQs of Applied Statistics

Showing 21 to 30 out of 31 Questions

21.

The average time in days to climbe the Mount Everest is compared for men and women. Random sample of 100 males and 100 females were taken. Choose the appropriate parameter for this situation.

(a)	One population proportion p.
(b)	Difference between two population $p_{1} - p_{2}$ .
(c)	One population mean $μ$ .
(d)	Difference between two population means $μ_{1} - μ_{2}$ .

22.

Children can learn a second language faster before the age of 10 . This statement is __________ .

(a)	A non scientific statement.
(b)	A one tailed hypothesis.
(c)	A two tailed hypothesis.
(d)	A null hypothesis.

23.

If my null hypothesis is 'Gujarati pepole do not differ from Punjabi people in height', what is my alternative hypothesis ?

(a)	Gujarati people are taller than Punjabi people.
(b)	Gujarati people are shorter than Punjabi people.
(c)	Gujarati people differ in height from Punjabi people.
(d)	All the above statements are possible as alternative hypothesis.

24.

A type-II error is the error of ___________ .

(a)	Accepting $H_{0}$ when it is false.
(b)	Accepting $H_{0}$ when it is true.
(c)	Rejecting $H_{0}$ when it is false.
(d)	Rejecting $H_{0}$ when it is true.

25.

When testing the following hypothesis at an $α$ level of significance

$H_{0} : p \leq 0.7$

$H_{a} : p > 0.7$

The null hypothesis will be rejected if the test statistics z is _________ .

(a)	$z > z_{a}$
(b)	$z < z_{a}$
(c)	$z < - z_{a}$
(d)	None of the above.

26.

Which of the following statement is false ?

(a)	The null hypothesis always contains an equality.
(b)	The alternative hypothesis never contains an equality.
(c)	Null hypothesis refers to a specified value of a sample statistic.
(d)	Null hypothesis refers to a specified value of the population parameter.

27.

The choice of one tailed test and two tailed test depends upon ___________ .

(a)	Null hypothesis
(b)	Alternative hypothesis
(c)	None of these
(d)	Composite hypothesis

28.

An example in a two sided alternative hypothesis is ___________ .

(a)	$H_{1} : μ < 0$
(b)	$H_{1} : μ > 0$
(c)	$H_{1} : μ \geq 0$
(d)	$H_{1} : μ \neq 0$

29.

T-test is applicable only when _________ .

(a)	$n < 30$ and $σ$ is known.
(b)	$n > 30$ and $σ$ is unknown.
(c)	$n = 30$ and $σ$ is known.
(d)	All of the above

30.

There are two types of error associated with hypothesis testing, that is Type-I and Type-II. Type-II error will occur when _________ .

(a)	Reject null hypothesis while the alternative hypothesis is true.
(b)	Accept null hypothesis when it is not true.
(c)	Reject null hypothesis when it is true.
(d)	Accept alternative hypothesis when it is not true.

Showing 21 to 30 out of 31 Questions