Question

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.

Answer 1

1.

$H0:\mu=80$ Blended learning does not affect student performances

$Ha:\mu\ne80$ (Claim) Blended learning affect student performances

2.

$H0:\mu=90$ The average score for grade 11 students is equal to 90

$Ha:\mu\ne90$ The average score for grade 11 students is not equal to 90