Which of the following is not a rejection rule for one sample t-test: (Where α is the level of significance) (A) Reject null hypothesis H_0 : if t ≤ -t_. (B) Reject null hypothesis H_0 : if t ≥ -t_. (C) Reject null hypothesis H_0 : if t ≥ t_. (D) Reject null hypothesis H_0 : if t ≤ -t_(/2) or t ≥ t_(/2). Choose the correct answer from the options given below: Option 1: (A), (C) and (D) only Option 2: (B) only Option 3: (C) and (D) only Option 4: (B) and (C) only

Answer: (B) only. Solution: The valid rules are t≤ -t_ for a left-tailed test, t≥ t_ for a right-tailed test, and, t, ≥ t_(/2) for a two-tailed test. The rule in (B), t≥ -t_, would reject for almost all values including those supporting H_0, so only (B) is not a rejection rule.

Statistics & Applications

Inferential

Medium

applied

Which of the following is not a rejection rule for one sample t-test: (Where α is the level of significance)

(A) Reject null hypothesis $H_0$ : if $t \leq -t_\alpha$ .

(B) Reject null hypothesis $H_0$ : if $t \geq -t_\alpha$ .

(C) Reject null hypothesis $H_0$ : if $t \geq t_\alpha$ .

(D) Reject null hypothesis $H_0$ : if $t \leq -t_{\alpha/2}$ or $t \geq t_{\alpha/2}$ .

Choose the correct answer from the options given below:

(A), (C) and (D) only

(B) only

(B) and (C) only

✅ Correct Option: 2

The valid rules are $t\le -t_\alpha$ for a left-tailed test, $t\ge t_\alpha$ for a right-tailed test, and $|t|\ge t_{\alpha/2}$ for a two-tailed test. The rule in (B), $t\ge -t_\alpha$ , would reject for almost all values including those supporting $H_0$ , so only (B) is not a rejection rule.

2025: 30 May Shift 1

In a survey for a sample of 300 individuals, 180 persons gave responses 'Yes' and 100 gave responses 'No' and 20 gave "No response". Then point estimate of proposition in the population who responded "Yes" is

2026: 12 May Shift 2

Match List-I with List-II

List-I (Types of Probability Sampling)	List-II (Characteristic)
(A) Simple random sampling	(I) Every member of the population is arranged in a particular order. The first member is selected at random and then the remaining members are selected at regular intervals.
(B) Systematic sampling	(II) The population is divided into subgroups and each subgroup has similar characteristics of the whole population.
(C) Stratified sampling	(III) Every member of the population has an equal chance of being selected.
(D) Cluster Sampling	(IV) The population is divided into subgroups based on the relevant characteristics

Choose the correct answer from the options given below:

2025: 19 May Shift 1

Which of the following are types of "statistical inferences"?

(A) Point estimation

(B) Interval estimation

(D) Hypothesis testing

Choose the correct answer from the options given below:

2025: 22 May Shift 1

Consider the following hypothesis test:

$H_0: \mu \leq 16$

$H_a: \mu > 16$

A sample of 25 provided a sample mean $\bar{x} = 17$ and a sample standard deviation $s = 3.5$ , then the value of the test statistic in $t$ -test is:

2025: 13 May Shift 1

A measurable characteristic of a population is called _____.

2025: 16 May Shift 1

Which of the following are correct?

(A) A statistical hypothesis is a statement about the population parameter which may be true or false.

(B) In a statistical hypothesis testing procedure, a Type I error is made when the null hypothesis is accepted when it is false.

(C) In a statistical hypothesis testing procedure, a Type II error is made when the null hypothesis is rejected when it is true.

(D) The number of degrees of freedom of a statistic is the number of independent variates used to compute that statistic.

Choose the correct answer from the options given below:

Solution

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