Statement (I): If the alternative hypothesis is as Ha: μ≠μ0; a researcher requires two-tailed test in hypothesis - testing.
Statement (II): The mean of the sampling distribution of mean is not equal to the parametric value of mean.
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Correct option is C

The correct answer is (c) Statement (I) is true, while statement (II) is false.
Statement (I) is accurate because an alternative hypothesis (μ≠μ0;) is non-directional. It seeks to identify a difference in either direction (higher or lower), necessitating a two-tailed test where the critical region is split between both tails of the distribution.
Statement (II) is false due to the Central Limit Theorem and the properties of sampling distributions. The mean of the sampling distribution of the mean (μ) is mathematically equal to the population mean (μ). This property ensures that the sample mean is an unbiased estimator of the population parameter.
Information Booster
· Non-directional Hypothesis: Uses the "" symbol and requires checking both ends of the bell curve.
· Directional Hypothesis: Uses "" or "" and requires a one-tailed test.
· Unbiased Estimator: The expected value of the sample mean equals the population mean, regardless of the distribution shape.
· Standard Error: While the means are equal, the variability (spread) of the sampling distribution is smaller than the population.