Question

A market research company conducted a survey of two groups of students from different schools. They found that students from school A spent an average of 90 minutes studying daily, while the students from school B spent an average of 75 minutes daily. They want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant. What sets shows the correct null hypothesis and alternative hypothesis?

Answer 1

Answer: Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Explanation:

Answer 2

Options:

1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.

2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.

3. Null Hypothesis: School B students spend more time studying than School A.

4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Alternative Hypothesis: There is no difference in the mean times spent by the schools' students

Answer:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Explanation:

The null hypothesis is usually represented as H0 or H1. For difference in mean between two samples, the null hypothesis is usually holds the notion that there is no difference in the mean of both samples and it is represented symbolically as:

H0 : μ1 - μ2 = 0 or H0 : μ1 = μ2

For the alternative hypothesis, it is usually the opposite of the null and while the Null holds that no difference exists, The alternative in this scenario will claim that both sample means are different or not equal. It is represented as :

H1 : μ1 ≠ μ2 or H1 : μ1 - μ2 ≠ 0