Statistics & Applications

Inferential

Easy

applied

The following data is from a simple random sample :

$15,23, x, 37,19,32$

If the point estimate of the population mean is $23$ , then the value of $x$ is :

$12$

$30$

$21$

$24$

✅ Correct Option: 1

$\text{Sample Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}}$

For our data:

$23 = \frac{15 + 23 + x + 37 + 19 + 32}{6}$

$23 = \frac{126 + x}{6}$

$23 \times 6 = 126 + x$

$138 = 126 + x$

$x = 138 - 126 = 12$

Therefore, the value of $x = 12$ .

2026: 22 May Shift 1

In a confidence interval, the range of values above and below the sample statistic is called :

2026: 22 May Shift 2

A sample of 100 LED TVs is taken at random. Out of 100 we found 35 TVs are of Sony, 50 are of LG and 15 are of Samsung. The point estimate of population proportion of LG is

2025: 30 May Shift 1

In reference to Inferential Statistics, for 20 degrees of freedom, the least statistical t-value among the given below is:

2026: 26 May Shift 2

Match the terms mentioned List I with the definitions mentioned in List II.

LIST-I	LIST-II
A. Confidence interval	I. In a hypothesis test, the probability of making wrong decision when the null hypothesis is true.
B. Margin of error	II. The number of independent pieces of information on which an approximation is based.
C. Significance level	III. A range of values, derived from sample statistic which is likely to contain the value of an unknown population parameter.
D. Degree of freedom	IV. In a confidence interval, the range of values, above and below the sample statistic.

Choose the correct answer from the options given below:

2025: 27 May Shift 1

Consider the following hypothesis test:

$H_0: \mu \leq 3432$

$H_a: \mu > 3432$

A sample of 96 provided a sample mean $\bar{x} = 3648$ and sample standard deviation $s=802$ then the degree of freedom of t-distribution is:

2026: 19 May Shift 2

A 95% confidence interval for a population mean was reported to be 152 to 160. The margin of error is:

The following data is from a simple random sample : 15,23,x,37,19,3215,23, x, 37,19,3215,23,x,37,19,32 If the point estimate of the population mean is 232323, then the value of xxx is :

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

The following data is from a simple random sample :

$15,23, x, 37,19,32$

If the point estimate of the population mean is $23$ , then the value of $x$ is :