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Statement I A sampling distribution of mean, prepared on the basis of small sized samples from a population which is not normally distributed, is not normally distributed.
Statement II To test the significance of the difference between means of two small sized samples when the parameter values of the standard deviations are given, Z-test can be applied.

Statement I A sampling distribution of mean, prepared on the basis of small sized samples from a population which is not normally distributed, is not normally distributed.
Statement II To test the significance of the difference between means of two small sized samples when the parameter values of the standard deviations are given, Z-test can be applied. Correct Answer Both statements are correct

Related Questions

Match the items of List - II with the items of List - I and select the code of correct matching List - I List - II (a) Chi-square Test (i) Testing the significance of the differences of the mean values among more than two sample groups. (b) ANOVA (F-test) (ii) Testing the goodness of fit of a distribution (c) Z - test (iii) Testing the significance of the difference of the mean values between two large sized samples (d) t - test (iv) Testing the significance of the difference of the mean values between two small sized samples when population standard deviation is not available  
Statement I Both the probable error and standard error of the coefficient of correlation are different.
Statement II When a sampling distribution of mean is prepared by taking small sized samples from a normally distributed population, the distribution takes the shape of normal distribution.
Statement I A hypothesis test for comparing the variances of two independent populations with the help of variances of two small samples is known as chi-square test.
Statement II To test the hypothesis that the population standard deviation has a specific value on the basis of the values of sample standard deviation of small sized sample, F-test isrelevant.
Which two of the following statements are true?  a) The sum of the deviations from mean (ignoring algebraic signs) is greater than the sum of the deviations from median (ignoring algebraic signs)  b) Standard deviation is independent of change of origin and change of scale  c) In a symmetrical distribution, mean deviation equals 4/5 of standard deviation  d) In a symmetrical and bell shaped distribution quartile deviation is 1/3 of standard deviation  Choose the correct answer from the options given below
Which of the two statements from the following statements are correct? (A) Sampling - related error is subsumed under the category non-sampling error. (B) Sampling error doesn't occur in multi-stage cluster sampling. (C) Inaccurate sampling frame and non-response are examples of sampling related error. (D) There is an inverse relation between heterogeneity of population and sampling error. Choose the correct option:
Match the items in List - I (Techniques of sampling) with that of List - II (characteristics of procedure). Choose appropriate code for your answer : Set - I (Techniques of sampling) Set – II           (Characteristics of procedure) (a) Purposive sampling (i) Dividing the population into subgroups and taking one or more groups at random (b) Multistage sampling (ii) Researcher relies on his or her own judgment when choosing members from the population (c) Systematic sampling   (iii) Obtaining K ‘interval’ through N/n and using it for constituting the sample (d) Stratified sampling   (iv) Researcher divides the entire population into homogeneous subgroups and randomly selects the final sample
Statement I The mean of the sampling distribution of mean is equal to the parameter value of the population mean.
Statement II Stratified sampling technique is unrestricted probability (random) sampling technique.
From the list given below, identify those which are called ‘Non-Probability Sampling’ procedures: (i) Simple random sampling (ii) Dimensional sampling (iii) Snowball sampling (iv) Cluster sampling (v) Quota sampling (vi) Stratified sampling Choose the correct option:
Which of the following statement relating to the sampling theory are correct? (i) The values of the statistical measures based on the sampled units are 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 code given below:
A researcher wants to test the significance of the difference between the average performance of the two small sized samples when the information of the population standard deviation is not available, which one of the following hypothesis-testing is suitably used?