a lecture course has 900 students broken into sections of 30 students each. on the final the average of the whole class is 62 with an sd of 20. however one section has an average of only 52. the ta for the section argues his section's low average is just due to chance variation. the null hypothesis is that this ta is no different than the average ta and that the difference between his section's average and the whole class's average is small and just due to chance. the alternative hypothesis is that section average is too low to simply be due to change variation. how many tickets are in the null box?

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22-11-2022
Mathematics

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a lecture course has 900 students broken into sections of 30 students each. on the final the average of the whole class is 62 with an sd of 20. however one section has an average of only 52. the ta for the section argues his section's low average is just due to chance variation. the null hypothesis is that this ta is no different than the average ta and that the difference between his section's average and the whole class's average is small and just due to chance. the alternative hypothesis is that section average is too low to simply be due to change variation. how many tickets are in the null box?

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MOHDFAHAD MOHDFAHAD · Answer 1 · 2022-11-27T03:52:56+01:00

A the likelihood is small (0.31%), there is little chance that the alternative hypothesis is that section average is too low to simply be due to change variation.

Define the term null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data with measured phenomena for any given single observed variable.

There are 900 students.

Number of student = 900

Average of class(μ) = 62

Student contained in section (n) = 30

Standard deviation = 20

Average for other section = 52

To determine the likelihood that the final average will be lower than 52.

Now,

P(x < 52)

P(x - μ/ (s/√n)) < 52 - 62 / 20/√30)

P(z < -2.73)

P = 0.00317 (from regular table)

P = 0.31%

Since the likelihood is remote, there is the alternative hypothesis is that section average is too low to simply be due to change variation.

To know more about the null hypothesis, here

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