We are 90% confident that we have elected a sample whose range of values docs d

Question

We are 90% confident that we have elected a sample whose range of values docs d not contain population mean mu. we are 90% confident that 10% the values of the sample means x bar will result in a confidence interval that includes the population mean mu. 90% of the values of the sample means x bar are equal to the population mean mu. Which of ,the following statements is false The width of a confidence interval estimate of the population mean narrows when the sample size increases. The width of a confidence interval estimate of the population mean narrows when the value of the sample mean increases. The width of a confidence interval estimate of the population mean widens when the confidence level increases. Both The width of a confidence interval estimate of the population mean narrows w hen the sample size increases" and The width of a confidence interval estimate Of the population mean widens when the confidence level increases " None of these. In developing an interval estimate lor a population mean, the population standard deviation a was 8. The interval estimate was 40.52 plusminus 3.24. Had a equaled 16. the interval estimate would be: 40.52 plus or minus 11.24 48.52 plus or minus 81.04 plus or minus 11.24 40.52 plus or minus 6.48 81.04 plus or minus 6.48 The lower limit of a confidence interval at the 95% level of confidence for the population proportion if a sample of size 100 had 30 successes is: 0.3898 0.2102 0.2959 0.3041 0.3126 When estimating a population mean mu, where the population standard deviation sigma is known, we can: define the limits of an interval estimate mu as x bar plus or minus z_a/2 sigma/root n define the limit of an interval estimate of mu as bar x plus or minus t_a/2 5/n choose a smaller Z value, construct a narrower confidence interval, and achieve a higher confidence level choose a larger: value, construct a wider confidence interval, and achieve a lower confidence level

Explanation / Answer

45) THE ONLY FALSE STATEMENT IS WE HAVE IS OPTION B BECAUSE THE WIDTH OF THE INTERVAL DEPENDS ON THE MARGIN OF ERROR NOT ON THE MEAN OF THE SAMPLE.

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