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Business Statistics and Research Methods
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Q361

Which of the following statements relating to the sampling theory are correct?
i. The values of the statistical measures based on the sampled units ae called values of statistic.
ii. In the simple random sampling technique, the element of the population and the unit of the sample are different.
iii. Snow-ball sampling technique is a probability based sampling technique.
iv. The 'law of statistical regularity' and the 'law of inertia of large numbers' are the main bases of the sample to become representative of the population. Choose the correct answer from the options given below:

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Q362

Previous probabilities in Bayes Theorem that are changed with help of new available information are classified as:

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Q363

Yates has suggested a correction in chi-square value, when cell frequencies are

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Q364

Statement I When a null hypothesis gets rejected in statistical hypothesis testing, it is known as II type error in hypothesis testing.
Statement II When a sample is small sized and parametric value of the standard deviation is not known, Z-test is the most appropriate test for hypothesis testing.

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Q365

A machine produced 20 defective articles in a batch of 400. After overhauling, it produced 10% defectives in a batch of 300. Which test of hypothesis can be applied to the above situation to examine whether the machine has improved?

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Q366

Z-test is closely related to which of the following test?

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Q367

Identify which of the following steps would be included in hypothesis testing.
1. State the null and alternative hypothesis.
2. Set the significance level before the research study.
3. Eliminate all outliers.
4. Obtain the probability value using a computer programme such as SPSS.
5. Compare the probability value to the significance level and make the statistical decision.
Select the correct answer using the options given below

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Q368

Correlation coefficient is taken to be significant, if

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Q369

Which of the following is not a type of non-probability sampling as it seems to be more objective in nature?

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Q370

According to the central limit theorem, the sampling distribution of the mean can be approximated by the normal distribution:

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Q371

In small samples, we use relatively . . . . . . . . confidence intervals as the results of small samples usually vary widely from sample to sample.

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Q372

Calculation of arithmetic mean by short-cut and step-deviation method is based on assumed mean, which is taken/selected from

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Q373

Match List-I with List-II:

List-I	List-II
a. $j = \frac{X - M _{Q}}{σ}$	1. Kelly's coefficient of skewness
b. $j = \frac{Q _{3} - Q _{1} - 2 M _{Q}}{Q _{3} - Q _{1}}$	2. Bowley's measure of skewness
c. $j = \frac{P _{90} + P _{10} - 2 P _{50}}{P _{90} - P _{10}}$	3. Karl Pearson's coefficient of skewness

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Q374

Which of the following relation is correct?

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Q375

For the discrete variables, more suitable class intervals are

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Q376

Match the items in List-I with items in List-II.

List-I	List-II
a. Level of significance	1. Sample mean is equal to population mean
b. Standard deviation of sampling distribution	2. Parameters
c. Numerical value that describes the characteristics of the population	3. Type-I error
d. Normally-distributed population	4. Standard error

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Q377

Match the following.

List-I	List-II
a. Fisher	1. Inverse probability
b. Karl Pearson	2. Normal distribution
c. Thomas Baye's	3. Correlation coefficient
d. Kari Gaus	4. Index number

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Q378

State the arithmetic mean of the following distribution:

X (Series) :	145	155	165	175
F (Frequency) :	10	12	15	10

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Q379

When a data series is arranged in ascending or descending order, the value which comes in the middle of the series is called?

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Q380

Range of the coefficient of correlation is:

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