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Question 9 The marks obtained in a Statistics paper by a random sample of 200 male students have x=54.6 and s² = 101.3. On the same paper, a random sample of 150 female students had a mean mark of 57.1, with s² =92.4. Assuming a common population variance, obtained a pooled estimate of this variance, and test at 1% significance level, whether there is significant evidence of a difference in the two population means.

Question 9 The marks obtained in a Statistics paper by a random sample of 200 male students have x=54.6 and s² = 101.3. On the same paper, a random sample of 150 female students had a mean mark of 57.1, with s² =92.4. Assuming a common population variance, obtained a pooled estimate of this variance, and test at 1% significance level, whether there is significant evidence of a difference in the two population means.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question 9 The marks obtained in a Statistics paper by a random sample of 200 male students have x=54.6 and s² = 101.3. On the same paper, a random sample of 150 female students had a mean mark of 57.1, with s² =92.4. Assuming a common population variance, obtained a pooled estimate of this variance, and test at 1% significance level, whether there is significant evidence of a difference in the two population means.
Transcribed Image Text:Question 9 The marks obtained in a Statistics paper by a random sample of 200 male students have x=54.6 and s² = 101.3. On the same paper, a random sample of 150 female students had a mean mark of 57.1, with s² =92.4. Assuming a common population variance, obtained a pooled estimate of this variance, and test at 1% significance level, whether there is significant evidence of a difference in the two population means.
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