Direction: Read and analyze the problem carefully. Solve for the correct answer.

Problem 1: The Brand A cellphone company claims that its phones have an almost the same lifespan as of the Brand B cellphone company. A test is conducted to validate whether the claim is true. 18 phones from Brand A and 24 phones from Brand B are chosen for testing, and it was found that the mean life for each is 32 and 35 months for Brand A and Brand B, respectively. The standard deviation for Brand A is 5 months while 7 months for Brand B. Test the hypothesis using a level of significance of 1%.

Problem 2: In an experiment of three groups of mothers with at least five kids and at most seven, the following measures of IQ were obtained in each of the five mothers per group. Do the groups differ significantly in their IQ? Use the raw score method and a 5% level of significance.

No.	Group 1	Group 2	Group 3
1	120	112	86
2	97	115	90
3	112	130	107
4	89	96	112
5	105	64	124

Problem 3: The relative frequencies of the students in specific courses of Born-again religion in a certain university are summarized by the table below:

Courses	Relative Frequency	Observed Frequency
Education	20 %	70
Engineering	28 %	82
Computer Studies	32 %	95
Architecture	6 %	18
Nursing	12 %	46
Pharmacy	2 %	9

Test whether there is a significant difference in the course partition of the students of Born-again religion to the courses partition of the total population of the university. Use 5% level of significance.