[amp_mcq option1=”Both the statements are true” option2=”Both the statements are false” option3=”Statement I is true, while Statement II is false” option4=”Statement I is false, while Statement II is true” correct=”option3″]<\/p>\n
The correct answer is: C. Statement I is true, while Statement II is false.<\/strong><\/p>\n Statement I is true. If the alternative hypothesis is as $\\mu \\ne {\\mu _0}$, then the researcher requires a two-tailed test. This is because a two-tailed test is used to test for a difference in means that is not equal to zero.<\/p>\n Statement II is false. The mean of the sampling distribution of mean is equal to the parametric value of mean, if the population is normally distributed.<\/p>\n Here is a more detailed explanation of each statement:<\/p>\n Statement I: If the alternative hypothesis is as $\\mu \\ne {\\mu _0}$ ; a researcher requires two-tailed test in hypothesis-testing.<\/p>\n The alternative hypothesis is the statement that the researcher is trying to prove. In this case, the alternative hypothesis is that the mean is not equal to the hypothesized value, $\\mu_0$. If the alternative hypothesis is $\\mu \\ne {\\mu _0}$, then the researcher requires a two-tailed test. This is because a two-tailed test is used to test for a difference in means that is not equal to zero.<\/p>\n Statement II: The mean of the sampling distribution of mean is not equal to the parametric value of mean.<\/p>\n The mean of the sampling distribution of mean is the expected value of the sample mean. It is equal to the population mean, $\\mu$, if the population is normally distributed.<\/p>\n Therefore, Statement I is true, while Statement II is false.<\/p>\n","protected":false},"excerpt":{"rendered":" [amp_mcq option1=”Both the statements are true” option2=”Both the statements are false” option3=”Statement I is true, while Statement II is false” option4=”Statement I is false, while Statement II is true” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[701],"tags":[],"class_list":["post-33777","post","type-post","status-publish","format-standard","hentry","category-business-statistics-and-research-methods","no-featured-image-padding"],"yoast_head":"\n