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a two-sample t-test with unequal variances

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A sample of scores on an examination given to both males and females in QNT 540 are:
Males 72, 69, 98, 66, 85, 76, 79, 80, and 77
Females 81, 67, 90, 78, 81, 80, and 76
At the .01 level of significance, is the mean grade of the female students higher than that of the males?

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Solution Summary

The following demonstrates the process of implementing a t-test to determine whether the mean grade of female students is different from the mean grade of male students. Test is conducted using Excel and results are provided in a Word document.

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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