A student working on a history project decided to find a 95 percent confidence interval for the difference in mean age at the time of election to office for former American Presidents versus former British Prime Ministers. The student found the ages at the time of election to office for the members of both groups, which included all of the American Presidents and all of the British Prime Ministers, and used a calculator to find the 95 percent confidence interval based on the t-distribution. This procedure is not appropriate in this context because
the sample sizes for the two groups are not equal.

a. the entire population was measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
b. elections to office take place at different intervals in the two countries, so the distribution of ages cannot be the same.
c. ages at the time of election to office are likely to be skewed rather than bell-shaped, so the assumptions for using this confidence interval formula are not valid.
d. sages at the time of election to office are likely to have a few large outliers, so the assumptions for using this confidence interval formula are not valid.

Question

nesh6821 nesh6821

17-03-2020
Mathematics

contestada

A student working on a history project decided to find a 95 percent confidence interval for the difference in mean age at the time of election to office for former American Presidents versus former British Prime Ministers. The student found the ages at the time of election to office for the members of both groups, which included all of the American Presidents and all of the British Prime Ministers, and used a calculator to find the 95 percent confidence interval based on the t-distribution. This procedure is not appropriate in this context because
the sample sizes for the two groups are not equal.

a. the entire population was measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
b. elections to office take place at different intervals in the two countries, so the distribution of ages cannot be the same.
c. ages at the time of election to office are likely to be skewed rather than bell-shaped, so the assumptions for using this confidence interval formula are not valid.
d. sages at the time of election to office are likely to have a few large outliers, so the assumptions for using this confidence interval formula are not valid.

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oeerivona oeerivona · Answer 1 · 2020-03-17T06:22:48+01:00

Answer:

The correct option that provides the reason the procedure is not appropriate is;

a. the entire population was measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.

Step-by-step explanation:

Confidence interval is a measure in statistics to determine a range of possible values for a value which cannot be determined by the available data. It is the estimate statement of the accuracy of the statistics of presented data.

The confidence interval proposes the range of likely value of an unknown data value such as the mean of a statistic, thereby indicating that there is a level of confidence that the data value is within a stated range.

Since the student has the data available to the student is accurate and in a complete state whereby the statistic parameter values are computed as single numbers whereby the actual difference in the mean ages at the time of election to office for former American Presidents to former British Prime Ministers can be directly calculated. Use of confidence interval in this instance is not required.