The mean number of English courses taken in a twoyear time p

The mean number of English courses taken in a two–year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.8. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same?

Solution

If the probability of both remains the same that means the means are statistically the same. And probability is calculted using z-score that is calculated using the formula

z-score = ( Given score - Mean )/Standrd deviation

Now for male Given score is 29, mean is 3 and S.D IS 0.3

So z-svore for male = (29-3)/0.8

= 26/0.8 = 32.5

And for female, gien score is 16 females, its mean is 4 and S.D. is 1.

Thus z-score = (16-4)/1 = 12/1

=12

Now as their z scores are having big difference that means their probabilities for taking english courses are different and thus the means given are not statistically the same.