SOAL LATIHAN (1)1. An experiment was run to determine whether four specific firing

temperatures affect the density of a certain type of brick. The experiment led to the following data:

A. Does the firing temperature affect the density of the bricks? Use a = 0.05.(b) Find the F-value for the F statistic in part (a).(c) Find the P-value

(KERJAKAN MANUAL, EXCEL dan (SPSS atau MINITAB))2. A manufacturer of television sets is interested in the effect on tube

conductivity of four different types of coating for color picture tubes. The following conductivity data are obtained

(a) Is there a difference in conductivity due to coating type? Use α = 0.05(b) Find the F-value for the F statistic in part (a).(c) Find the P-value(d) Estimate the overall mean and the treatment effects

(KERJAKAN MANUAL, EXCEL dan (SPSS atau MINITAB))3. An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216)

describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch X 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table:

(a) Is there any difference in compressive strength due to the rodding level? Use α = 0.05

(b) Find the F-value for the F statistic in part (a).©. Find the P-value

(KERJAKAN MANUAL, EXCEL dan (SPSS atau MINITAB))

MANUAL TULIS TANGAN

EXCEL dan (SPSS atau MINITAB) PRINT

Kumpulkan ke Prof. Dr. KH. Aziz Pruttt STMJ., KeMeng., SJosss.Minggu 29 September 2013 jam 14.00

SOAL LATIHAN (2)

1. A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. The following conductivity data are obtained

a. Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 99 percent confidence interval estimate of the mean difference between coating types 1 and 4.

Jawab :

(Soal ini ada di latihan soak 1 no 2)

2. The response time in milliseconds was determined for three different types of circuits that could be used in an automatic valve shutoff mechanism. The results are shown in the following table:

a) Test the hypothesis that the three circuit types have the same response time. Use a = 0.01

Gunakan Excelb) Construct a set of orthogonal contrasts, assuming that at the outset of the

experiment you suspected the response time of circuit type 2 to be different from the other two.

JAWAB : c) If you were the design engineer and you wished to minimize the response

time, which circuit type would you select?Baik tipe 1 atau tipe 3 karena mereka tidak berbeda satu sama lain dan memiliki waktu respon terendah.d) Analyze the residuals from this experiment. Are the basic analysis of

variance assumptions satisfied? (gunakan software)

3. Three brands of batteries are under study. It is suspected that the lives (in weeks) of the three brands are different. Five batteries of each brand are tested with the following results:

a) Are the lives of these brands of batteries different? Gunakan Excelb) Analyze the residuals from this experiment. (gunakan software)c) Construct a 95 percent confidence interval estimate on the mean life of

battery brand 2. Construct a 99 percent confidence interval estimate on the mean difference between the lives of battery brands 2 and 3.

JAWAB :

4. Four catalysts that may affect the concentration of one component in a three-component liquid mixture are being investigated. The following concentrations are obtained:

a) Do the four catalysts have the same effect on the concentration? Gunakan Excel

b) Analyze the residuals from this experiment. (gunakan software)c) Construct a 99 percent confidence interval estimate of the mean response

for catalyst 1.

Kumpulkan ke Prof. Dr. KH. Aziz Pruttt STMJ., KeMeng., SJosss.Minggu 6 Oktober 2013 jam 14.00

1. An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individuals, he decides to conduct the experiment in a randomized block design. The data obtained follow. Analyze the data from this experiment (use α = 0.05) and draw appropriate conclusions.

Seorang insinyur industri melakukan percobaan pada waktu fokus mata . Dia tertarik pada efek dari jarak objek dari mata pada waktu fokus . Empat jarak yang berbeda yang menarik . Dia memiliki lima mata pelajaran yang tersedia untuk percobaan . Karena mungkin ada perbedaan antara individu , ia memutuskan untuk melakukan percobaan dalam rancangan acak . Data yang diperoleh mengikuti. Menganalisis data dari percobaan ini ( gunakan α = 0,05 ) dan menarik kesimpulan yang tepat .

2. An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore, the engineer knows that each assembly method produces such fatigue that the time required for the last assembly may be greater than the time required for the first, regardless of the method. That is, a trend develops in the required assembly time. To account for this source of variability, the engineer uses the Latin square design shown below. Analyze the data from this experiment (α = 0.05) draw appropriate conclusions.

Seorang insinyur industri sedang menyelidiki efek dari empat metode perakitan ( A , B , C , D ) pada waktu perakitan untuk komponen televisi berwarna . Empat operator yang dipilih untuk penelitian. Selain itu , insinyur tahu bahwa setiap metode perakitan menghasilkan kelelahan sehingga waktu yang dibutuhkan untuk perakitan terakhir mungkin lebih besar daripada waktu yang dibutuhkan untuk pertama , terlepas dari metode . Artinya, tren berkembang di waktu perakitan diperlukan . Untuk menjelaskan ini sumber variabilitas , insinyur menggunakan desain persegi Latin ditunjukkan di bawah ini . Menganalisis data dari percobaan ini ( α = 0,05 ) menarik kesimpulan yang tepat .

3. A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths follow. Analyze the data from this experiment (use α = 0.05) and draw appropriate conclusions.

Kimiawan A ingin menguji efek dari empat bahan kimia pada kekuatan suatu jenis kain . Karena mungkin ada variabilitas dari satu baut yang lain , ahli kimia

memutuskan untuk menggunakan rancangan acak kelompok , dengan gulungan kain dianggap sebagai blok . Dia memilih lima baut dan menerapkan keempat bahan kimia secara acak pada setiap baut . Hasil kekuatan tarik mengikuti. Menganalisis data dari percobaan ini ( gunakan α = 0,05 ) dan menarik kesimpulan yang tepat .

4. Two missing values in a randomized block. Suppose that in Problem 3 the observations for chemical type 2 and bolt 3 and chemical type 4 and bolt 4 are missing.

(a) Analyze the design by iteratively estimating the missing values

Dua nilai yang hilang dalam blok acak . Misalkan pada Soal 3 pengamatan untuk jenis kimia 2 dan 3 baut dan jenis kimia 4 dan baut 4 hilang .

( a) Menganalisis desain dengan iteratif memperkirakan nilai-nilai yang hilang

5. The effect of five different ingredients (A, B, C, D, E) on reaction time of a chemical process is being studied. Each batch of new material is only large enough to permit five runs to be made. Furthermore, each runs requires approximately 1 1/2 hours, so only five runs can be made in one day. The experimenter decides to run the experiment as a Latin square so that day and batch effects can be systematically controlled. She obtains the data that follow. Analyze the data from this experiment (use α = 0.05) and draw conclusions.

Pengaruh lima bahan yang berbeda ( A , B , C , D , E ) pada waktu reaksi dari proses kimia sedang dipelajari . Setiap batch materi baru hanya cukup besar untuk memungkinkan lima berjalan harus dibuat . Selanjutnya , masing-masing berjalan membutuhkan sekitar 1 1/2 jam, jadi hanya lima berjalan dapat dilakukan dalam satu hari . Eksperimen memutuskan untuk menjalankan eksperimen sebagai kotak Latin sehingga hari dan bets efek dapat dikendalikan secara sistematis . Dia memperoleh data yang mengikuti . Menganalisis data dari percobaan ini ( gunakan α = 0,05 ) dan menarik kesimpulan

GUNAKAN EXCEL, MINITAB DAN SPSSBUAT TUTORIALNYA