5. + -13 points My Notes A random sample of n = 12 men between 30 and 39 years o

Question

5. + -13 points My Notes A random sample of n = 12 men between 30 and 39 years old is asked to do as many situps as they can in one minute. Table 1 reports the descriptive statistics for this study: Table 1: Descriptive statistics for the situps study Variablen mean std.Dev Semean situps 12 25.6 17.6 5.08 The investigators would like to construct a 98% confidence interval for the true average number of sit ups men in this age group can complete in 1 minute. Note: you should carry at least 5 decimal precision for any intermediate calculations. Then round your answers as indicated. A) The margin of error is: Round your answer to the nearest hundredth B) The corresponding 98% confidence interval for the true population mean is: sit-ups When setting confidence intervals for discrete data investigators will round the lower endpoint down to the next lowest integer and the upper endpoint up to the next highest integer. You should express your answers using this convention

Explanation / Answer

The statistical software output for this problem is:

One sample T summary confidence interval:
? : Mean of population

98% confidence interval results:

Hence,

A) Margin of error = (39.41 - 11.79)/2 = 13.81

B) 98% confidence interval: 12 to 40

Mean Sample Mean Std. Err. DF L. Limit U. Limit ? 25.6 5.0806824 11 11.790303 39.409697

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