Which Of The Following Is The Concept Illustrated With The Misenteredã¢â‚¬â€¹ Data?

Which of the post-obit is the concept illustrated with the misentered data? OA The process for constructing the confidence interval is not robust: The smaller the sample size, the less resistant the mean: Therefore, the confidence interval is more than robust. 0 B. The procedure for constructing the conviction interval is robust. The larger the sample size, the more than resistant the mean: Therefore, the confidence interval is more robust. Oc: The procedure for constructing the confidence interval is robust: The larger the sample size, the more resistant the mean: Therefore, the conviction interval is less robust.

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In exercise six were given a random sample That has a size of 28. And um A mean of 68.6 and the samples and the division of 1.28. So this random sample is drawn from a normal population. We're going to employ the given information to decide the 95% and the 99.5% confidence intervals for the population beingness afterward on, we're going to make a comment on why one interval is longer than the other. At present, first things starting time. The formula that will be used is exposure plus the critical value for T. For the given level of significance multiplied by s the samples um standard deviation divided past the square root of Due north. And then permit's brainstorm and start with the first case. Now in the first case we're getting a 95% confidence interval four. The population mean no. To practice that, nosotros have to determine the level of significance. Album which equals 1 -0.95. That's 0.05. When nosotros have that, It's going to be 0.0 25. No, since the sample size is 28, we'll have 28 minutes 1° of freedom. Considering the number of degrees of freedom is given by the formula and -1. And so it's going to be 28 -one. And that's 27. Now we're set to obtain the value of the critical value of tea from the table. So the disquisitional value of T. for the 0.025 level of significance. And 27° of freedom equals 2.052. And we continue to substitute the values into the formula. So For the 1995% confidence interval it volition be 65, 30 68 .vi Plus or minus ii.052 times 1.28 Divided by the square of 28. Then we have just substituted all the values into the formula. So this becomes half dozen.68 0.6 Plus or -0.l two. And then the margin of error is 0.fifty. Side by side in political party We're going to get the 99 0.5% confidence interval for the population. Mean Similarly we need to become the level of significance alpha which equals one -0.995 Which is equal to 0.005. And we have it It'southward going to exist 0.0025. No, the degrees of liberty will exist equal because the aforementioned sample. And then the degrees of Freedom 27. Now the critical value that corresponds to 27° of freedom for the 0.0025 level of significance uh equals three .057. And so that's what we're going to substitute to obtain the value of uh the inter confidence interval. So Subsequute 68.half-dozen plus or minus iii.057 times 1.28 divided past The Square Root of 28. And when you saw that You're going to get 68.6 plus or -0.74. And then imagine a vera is 0.74. Now, in part C, we're going to make a annotate on why one interval is longer than the other. So the longer interval is the interval that has a greater margin of error. So in this case the longer interval is that for the 99.5% uh conviction interval and the conclusion would be the greater the conviction required. The longer the interval, the greater the confidence required, the longer the interval.