Question

I. State the null and alternative hypothesis for each statement.

1. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more than 750 hours.

  H_{0: _____}

  H_{a: _____}

2. A study claims that the mean survival time for certain cancer patients treated immediately with chemotherapy and radiation is 24 months.

  H_{0: _____}

  H_{a: _____}

3. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%.

  H_{0: _____}

  H_{a: _____}

4. We want to test whether the general average of students in Math is different from 80%.

  H_{0: _____}

  H_{a: _____}

5. We want to test whether the mean height of Grade 8 students is 58 inches.

  H_{0: _____}

  H_{a: _____}

Answer 1

1.

$H_0:\mu\le750$

$H_a:\mu>750$

2.

$H_0:\mu=24$

$H_a:\mu\not=24$

3.

$H_0:p=0.5$

$H_a:p\not=0.5$

4.

$H_0:p=0.8$

$H_a:p\not=0.8$

5.

$H_0:\mu=58$

$H_a:\mu\not=58$