Question

A. For each conjecture, state the null and alternative hypothesis.

1. The average age of community college students is 18.6 years.

2. The average income of accountants is Php 107,285.54.

3. The average age of attorneys is greater than 25.4 years.

4. The average score of high school basketball games is less than 88.

5. The average pulse rate of male marathon runners is less than 70 beats per minute.

6. The average cost of a DVD player Php 3,997.50.

7. The average weight loss for a sample of people who exercise 30 minutes per day for 6 weeks is 8.2 pounds.

8. The average age of graduating students in college is 21.5 years.

9. The average salary of Public-School Teacher (entry level) is Php 21,899.

10. The average time spent using cellphone is 4 hours and 30 minutes.

Answer 1

1. The average age of community college students is 18.6 years.

$H_0: \mu = 18.6 \\ H_1: \mu ≠ 18.6$

2. The average income of accountants is Php 107,285.54.

$H_0: \mu = 107285.54 \\ H_1: \mu ≠ 107285.54$

3. The average age of attorneys is greater than 25.4 years.

$H_0: \mu ≤ 25.4 \\ H_1: \mu > 25.4$

4. The average score of high school basketball games is less than 88.

$H_0: \mu ≥ 88 \\ H_1: \mu < 88$

5. The average pulse rate of male marathon runners is less than 70 beats per minute.

$H_0: \mu ≥ 70 \\ H_1: \mu < 70$

6. The average cost of a DVD player Php 3,997.50.

$H_0: \mu = 3997.50 \\ H_1: \mu ≠ 3997.50$

7. The average weight loss for a sample of people who exercise 30 minutes per day for 6 weeks is 8.2 pounds.

$H_0: \mu = 8.2 \\ H_1: \mu ≠ 8.2$

8. The average age of graduating students in college is 21.5 years.

$H_0: \mu = 21.5 \\ H_1: \mu ≠ 21.5$

9. The average salary of Public-School Teacher (entry level) is Php 21,899.

$H_0: \mu = 21899 \\ H_1: \mu ≠ 21899$

10. The average time spent using cellphone is 4 hours and 30 minutes.

$H_0: \mu = 4.5 \\ H_1: \mu ≠ 4.5$