A random sample of 21 colleges was taken. The mean rate of graduation within four years was 78% with a margin of error of 5.1%. The distribution of graduation rates is Normal. a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers rounded to two decimal places > l > % b) Can we reject a population mean percentage of 85.1% on the basis of these numbers? Explain. O Yes, reject 85.1%. Since 85.1% is in the interval, it is not possible the population graduation rate is 85.1%. O No, do not reject 85.1 %. Since 85.1% is not in the interval, it is possible the population graduation rate is 85.1%. O No, do not reject 85.1%. Since 85.1% is in the interval, it is possible the population graduation rate is 85.1%. O Yes, reject 85.1%. Since 85.1% is not in the interval, it is not possible the population graduation rate is 85.1%.

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Quescion 3
A random sample of 21 colleges was taken. The mean rate of graduation within four years was 78% with a
margin of error of 5.1%. The distribution of graduation rates is Normal.
a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers
rounded to two decimal places
% < µ <
b) Can we reject a population mean percentage of 85.1% on the basis of these numbers? Explain.
O Yes, reject 85.1%. Since 85.1% is in the interval, it is not possible the population graduation rate is
85.1%.
O No, do not reject 85.1%. Since 85.1% is not in the interval, it is possible the population graduation
rate is 85.1%.
O No, do not reject 85.1%. Since 85.1% is in the interval, it is possible the population graduation rate is
85.1%.
O Yes, reject 85.1%. Since 85.1% is not in the interval, it is not possible the population graduation rate
is 85.1%.
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Transcribed Image Text:Quescion 3 A random sample of 21 colleges was taken. The mean rate of graduation within four years was 78% with a margin of error of 5.1%. The distribution of graduation rates is Normal. a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers rounded to two decimal places % < µ < b) Can we reject a population mean percentage of 85.1% on the basis of these numbers? Explain. O Yes, reject 85.1%. Since 85.1% is in the interval, it is not possible the population graduation rate is 85.1%. O No, do not reject 85.1%. Since 85.1% is not in the interval, it is possible the population graduation rate is 85.1%. O No, do not reject 85.1%. Since 85.1% is in the interval, it is possible the population graduation rate is 85.1%. O Yes, reject 85.1%. Since 85.1% is not in the interval, it is not possible the population graduation rate is 85.1%. Submit Question
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