Historically, the earnings of mechanical engineers, graduates of any university, have followed a normal distribution with a standard deviation of $300, have followed a normal distribution wit a standard deviation of $300. In a certain study, a random sample of 25 engineers a random sample of 25 engineers from EPN and an independent sample of 30 engineers from ESPE were taken. From the results of the sample, it was observed that the average income of the EPN engineers was $1,000 with a standard deviation of $275; and that the ESPE engineers had an average income of $1,300 and a standard deviation of $350. a) At a 98% confidence level, is it reasonable to assume that the standard deviations of the earnings of EPN and ESPE engineers are equal? are the earnings of EPN and ESPE engineers equal? b) With a 90% confidence level, is it reasonable to say that the average income of EPN engineers is lower than that of ESPE engineers? EPN engineers is lower than that of ESPE

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Historically, the earnings of mechanical engineers, graduates of any university, have followed a
normal distribution with a standard deviation of $300, have followed a normal distribution with
a standard deviation of $300. In a certain study, a random sample of 25 engineers a random
sample of 25 engineers from EPN and an independent sample of 30 engineers from ESPE were
taken. From the results of the sample, it was observed that the average income of the EPN
engineers was $1,000 with a standard deviation of $275; and that the ESPE engineers had an
average income of $1,300 and a standard deviation of $350.
a) At a 98% confidence level, is it reasonable to assume that the standard deviations of the
earnings of EPN and ESPE engineers are equal? are the earnings of EPN and ESPE engineers
equal?
b) With a 90% confidence level, is it reasonable to say that the average income of EPN
engineers is lower than that of ESPE engineers? EPN engineers is lower than that of ESPE
engineers?
Transcribed Image Text:Historically, the earnings of mechanical engineers, graduates of any university, have followed a normal distribution with a standard deviation of $300, have followed a normal distribution with a standard deviation of $300. In a certain study, a random sample of 25 engineers a random sample of 25 engineers from EPN and an independent sample of 30 engineers from ESPE were taken. From the results of the sample, it was observed that the average income of the EPN engineers was $1,000 with a standard deviation of $275; and that the ESPE engineers had an average income of $1,300 and a standard deviation of $350. a) At a 98% confidence level, is it reasonable to assume that the standard deviations of the earnings of EPN and ESPE engineers are equal? are the earnings of EPN and ESPE engineers equal? b) With a 90% confidence level, is it reasonable to say that the average income of EPN engineers is lower than that of ESPE engineers? EPN engineers is lower than that of ESPE engineers?
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