Q4) A Professor wishes to analyse the marks obtained by the students of his class in an exam. He finds the mean of the marks of all students to be 75. However, a student believes the mean to be different. He analyses the marks of 7 students from the class and finds the mean to be 78 and standard deviation to be 10. (a) State the null and alternative hypotheses. (b) At a confidence interval of 99%, is there enough evidence to discard the null hypothesis? Use the p-value method.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A Professor wishes to analyse the marks obtained by the students of his class in an exam. He finds the mean of the marks of all students to be 75. However, a student believes the mean to be different. He analyses the marks of 7 students from the class and finds the mean to be 78 and standard deviation to be 10.

  • State the null and alternative hypotheses.
  • At a confidence interval of 99%, is there enough evidence to discard the null hypothesis? Use the p-value method.

 

Q4) A Professor wishes to analyse the marks obtained by the students of his class in an exam.
He finds the mean of the marks of all students to be 75. However, a student believes the mean
to be different. He analyses the marks of 7 students from the class and finds the mean to be 78
and standard deviation to be 10.
(a) State the null and alternative hypotheses.
(b) At a confidence interval of 99%, is there enough evidence to discard the null hypothesis?
Use the p-value method.
Transcribed Image Text:Q4) A Professor wishes to analyse the marks obtained by the students of his class in an exam. He finds the mean of the marks of all students to be 75. However, a student believes the mean to be different. He analyses the marks of 7 students from the class and finds the mean to be 78 and standard deviation to be 10. (a) State the null and alternative hypotheses. (b) At a confidence interval of 99%, is there enough evidence to discard the null hypothesis? Use the p-value method.
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