Dibuat Diperiksa Mengetahui

Tanggal 8 Maret 2015 Tanggal 8 Maret 2015 Tanggal 8 Maret 2015

Oleh Ira Ulya Oleh Sarvina Oleh Dodi Rahmad

Jabatan AsistenTutorial Jabatan Koordinator Tutorial OR 1

Jabatan Koordinator Asisten

Tanda

Tangan

Tanda Tangan

Tanda

Tangan

DEPARTEMEN PENDIDIKAN NASIONAL

UNIVERSITAS ANDALAS FAKULTAS TEKNIK

JURUSAN TEKNIK INDUSTRI

LABORATORIUM PERENCANAAN DAN OPTIMASI SISTEM INDUSTRI

TUGAS PENDAHULUAN

Uji Hipotesis

1. The proportion of adults living in a small town who are college graduates is estimated to be p = 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number of college graduates in our sample is anywhere from 6 to 12, we shall not reject the null hypothesis that p = 0.6; otherwise, we shall conclude that p ≠ 0.6. a. Evaluate α assuming that p = 0.6. Use the binomial distribution. b. Evaluate β for the alternatives p = 0.5 and p = 0.7. c. Is this a good test procedure?

2. A manufacturer has developed a new fishing line, which he claims has a

mean breaking strength of 15 kilograms with a standard deviation of 0.5 kilogram. To test the hypothesis that, p = 15 kilograms against the alternative that p < 15 kilograms, a random sample of 50 lines will be tested. The critical region is defined to be x < 14.9. a. Find the probability of committing a type I error when H0 is true. b. Evaluate 8 for the alternatives p = 14.8 and p = 4.9 kilograms.

3. An electrical firm manufactures light bulbs that have a lifetime that is

approximately normally distributed with a mean of 800 hours and a standard deviation of 40 hours. Test tbe hypothesis that p = 800 hours against the alternative p ≠ 800 hours if a random sample of 30 bulbs has an average life of 788 hours. Use a P-value in your answers.

4. Past experience indicates that the time for high school seniors to

complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis at the 0.05 level of significance that p = 35 minutes against the alternative that p < 35 minutes.

5. An urban community would like to show that the incidence of breast

cancer is higher than in a nearbyrural area. (PCB levels were found to be higher in the soil of the urban community.) If it is found that 20 of 200 adult women in the urban community have breast cancer and 10 of 150 adult women in the rural community have breast cancer, can we

Dibuat Diperiksa Mengetahui

Tanggal 8 Maret 2015 Tanggal 8 Maret 2015 Tanggal 8 Maret 2015

Oleh Ira Ulya Oleh Sarvina Oleh Dodi Rahmad

Jabatan AsistenTutorial Jabatan Koordinator Tutorial OR 1

Jabatan Koordinator Asisten

Tanda

Tangan

Tanda Tangan

Tanda

Tangan

DEPARTEMEN PENDIDIKAN NASIONAL

UNIVERSITAS ANDALAS FAKULTAS TEKNIK

JURUSAN TEKNIK INDUSTRI

LABORATORIUM PERENCANAAN DAN OPTIMASI SISTEM INDUSTRI

conclude at the 0.05 level of significance that breast cancer is more prevalent in the urban community?