Question

Identify the CONCLUSION of a hypothesis test of the following claim and sample data:



Claim: “The average weekly number of hours spent studying by students who sit in the front of the classroom is greater than that of students who sit in the back of the classroom.”



Dozens of randomly selected students were asked how many hours they study per week. There were 35 students who said that they tend to sit toward the front of the classroom, and their reported number of study hours per week had a mean of 17.26 and standard deviation of 9.34. There were 36 students who said they tend to sit toward the back of the classroom, and they had a mean of 11.08 and standard deviation of 8.64. The standard deviation for the population of students who sit in the front is assumed to be the same as that for those who sit in the back. Test the claim at the 0.01 significance level.

a.	There is not sufficient evidence to warrant rejection of the claim.	b.	There is sufficient evidence to support the claim.
c.	There is not sufficient evidence to support the claim.	d.	There is sufficient evidence to warrant rejection of the claim.

Answer 1

For Front Students:

For Back Students :

The null and the alternative hypotheses are,

Using TI-84 calculator we get,

Test statistic is, t = 2.895

p-value = 0.0025

Since, p-value = 0.0025 < 0.01 significance level

We reject the null hypothesis ( H₀ ).

Conclusion: There is sufficient evidence to support the claim.