question archive The historical mean for the final exam of a math course is 80, with a population standard deviation of 3

The historical mean for the final exam of a math course is 80, with a population standard deviation of 3

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The historical mean for the final exam of a math course is 80, with a population standard deviation of 3. This year, a new teaching method is used to teach the same course, and the average final exam grade is 81. Use an alpha level of .05

What is the correct formulation of the Null hypothesis and alternative hypothesis?

ie. Ho = µ ≤ 80

Ha = µ > 80

Ho is Null and Ha is alternative

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Answer:

The null and alternative hypothesis be:

?H?o??:μ≤80?

?H?a??:μ>80? (Right tail)

Where ?μ? is population mean of the final exam of a maths score.

Step-by-step explanation

Given,

Population mean, ?μ? = 80

Population standard deviation, ?σ? = 3

New mean, ?μ??′????? = 81

 

The null and alternative hypothesis be:

?H?o??:μ≤80?

?H?a??:μ>80? (Right tail)

Where ?μ? is population mean of the final exam of a maths score.