Determine the given of the problems below and formulate the null and alternative hypotheses both in words and symbols.
1. A teacher conducted a study to know if blended learning affects the students performances. A class of 30 Grade 11 students was surveyed and found out that their mean score was 83 with a standard deviation of 4. A study from other country revealed that μ=80 with a standard deviation of 3. Test the hypothesis at 0.10 level of significance.
2. A mathematics teacher in senior high school developed a problem-solving test for randomly selected 40 grade 11 students. These students had a average score of 85 and a standard deviation of 5. If the population had a mean score of 90 and a standard deviation of 3, use 5% level of significance to test the hypothesis.
1.
Blended learning does not affect student performances
(Claim) Blended learning affect student performances
2.
The average score for grade 11 students is equal to 90
The average score for grade 11 students is not equal to 90
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