Part 1: Hypothesis Test for the Mean - Manual Tasks • Define your concern of interest drawing upon your variables in your dataset. • Conceptualize your null and alternate hypotheses based on your testing concept. a. Apply 1 one-sided test (upper-tail or lower-tail) and 1 two-sided test concepts for the mean with unknown population standard deviation (�) at 1%, 5%, or 10% levels of significance (choose one of them for each test) by stating the appropriate decision rule. b. Calculate p-value for each of your tests and perform testing for your same hypotheses with p-value solution. Comment on how p-value changes for 1%, 5%, and 10% significance levels (for all three). **Here in order to apply normal distribution approximation, it would be better if you choose your sample size greater than 100 (n>100). c. Make a confidence interval estimation for the population mean with unknown variance based on 90%, 95% and 99% confidence levels and make interpretations for all three. Data is: Name Surname Gender Class Midterm Final Esra Baydı Female A 98 66 Esma Albayrak Female A 82 97 Tuğçe Sağ Female A 41 64 Merve Topal Female A 80 100 Şeyma Tiryaki Female A 52 63 Burcu Eroğlu Female A 58 52 Sibel Deniz Female A 61 90 Burcu Acı Female A 72 50 Merve Küçük Female A 96 100 Kübra Özcan Female A 64 87 Hayriye Kuş Female A 100 100 Burcu Güneş Female A 30 42 Demet Akalın Female A 52 69 Emre Şen Male A 60 74 Oğuzhan Kışçı Male A 74 63 Kemal Gündüz Male B 44 75 Mesut İş Male B 60 82 Uğur Yıldırım Male B 72 74 Akif Topçu Male B 80 52 Barış Selimler Male B 100 96 Metin Mert Male B 51 75 Göksel Kansoy Male B 74 82 Emir Biçer Male B 94 98 Berkay Balkay Male B 28 52 Osman Aydın Male B 50 76 Yiğit Aydın Male B 74 62 Emre Çalışkan Male B 52 93 Osman Yetim Male B 83 82 Yücel Can Male B 79 71 Bahadır Ak Male B 86 90 Oğuzcan Gündüz Male B 72 85 Ahmet Al Male B 63 52 Hale Can Female B 70 62 Berrak Tüzün Female B 54 66 Songül Albayrak Female C 80 55 Bircan Bal Female C 73 91 Yasemin Kara Female C 20 45 Hilal Bulut Female C 63 52 Gizem Özveri Female C 94 99 Merve Küçük Female C 34 65 Ayfer Çakmak Female C 98 72 Merve Gündoğdu Female C 86 79 Havva Yıldız Female C 65 88 Rahime Çapın Female C 89 95 Nigar Şahin Female C 72 90 Esra Kaya Female C 98 99 Tülin Boz Female C 93 89 Petek Çil Female C 82 70 Eda Taş Female C 67 82 69,79591837 75,7755102
Part 1: Hypothesis Test for the Mean
- Manual Tasks
• Define your concern of interest drawing upon your variables in your dataset.
• Conceptualize your null and alternate hypotheses based on your testing concept.
a. Apply 1 one-sided test (upper-tail or lower-tail) and 1 two-sided test concepts for the
mean with unknown population standard deviation (�) at 1%, 5%, or 10% levels of
significance (choose one of them for each test) by stating the appropriate decision rule.
b. Calculate p-value for each of your tests and perform testing for your same hypotheses
with p-value solution. Comment on how p-value changes for 1%, 5%, and 10%
significance levels (for all three).
**Here in order to apply
choose your sample size greater than 100 (n>100).
c. Make a confidence
based on 90%, 95% and 99% confidence levels and make interpretations for all three.
Data is:
Name | Surname | Gender | Class | Midterm | Final |
Esra | Baydı | Female | A | 98 | 66 |
Esma | Albayrak | Female | A | 82 | 97 |
Tuğçe | Sağ | Female | A | 41 | 64 |
Merve | Topal | Female | A | 80 | 100 |
Şeyma | Tiryaki | Female | A | 52 | 63 |
Burcu | Eroğlu | Female | A | 58 | 52 |
Sibel | Deniz | Female | A | 61 | 90 |
Burcu | Acı | Female | A | 72 | 50 |
Merve | Küçük | Female | A | 96 | 100 |
Kübra | Özcan | Female | A | 64 | 87 |
Hayriye | Kuş | Female | A | 100 | 100 |
Burcu | Güneş | Female | A | 30 | 42 |
Demet | Akalın | Female | A | 52 | 69 |
Emre | Şen | Male | A | 60 | 74 |
Oğuzhan | Kışçı | Male | A | 74 | 63 |
Kemal | Gündüz | Male | B | 44 | 75 |
Mesut | İş | Male | B | 60 | 82 |
Uğur | Yıldırım | Male | B | 72 | 74 |
Akif | Topçu | Male | B | 80 | 52 |
Barış | Selimler | Male | B | 100 | 96 |
Metin | Mert | Male | B | 51 | 75 |
Göksel | Kansoy | Male | B | 74 | 82 |
Emir | Biçer | Male | B | 94 | 98 |
Berkay | Balkay | Male | B | 28 | 52 |
Osman | Aydın | Male | B | 50 | 76 |
Yiğit | Aydın | Male | B | 74 | 62 |
Emre | Çalışkan | Male | B | 52 | 93 |
Osman | Yetim | Male | B | 83 | 82 |
Yücel | Can | Male | B | 79 | 71 |
Bahadır | Ak | Male | B | 86 | 90 |
Oğuzcan | Gündüz | Male | B | 72 | 85 |
Ahmet | Al | Male | B | 63 | 52 |
Hale | Can | Female | B | 70 | 62 |
Berrak | Tüzün | Female | B | 54 | 66 |
Songül | Albayrak | Female | C | 80 | 55 |
Bircan | Bal | Female | C | 73 | 91 |
Yasemin | Kara | Female | C | 20 | 45 |
Hilal | Bulut | Female | C | 63 | 52 |
Gizem | Özveri | Female | C | 94 | 99 |
Merve | Küçük | Female | C | 34 | 65 |
Ayfer | Çakmak | Female | C | 98 | 72 |
Merve | Gündoğdu | Female | C | 86 | 79 |
Havva | Yıldız | Female | C | 65 | 88 |
Rahime | Çapın | Female | C | 89 | 95 |
Nigar | Şahin | Female | C | 72 | 90 |
Esra | Kaya | Female | C | 98 | 99 |
Tülin | Boz | Female | C | 93 | 89 |
Petek | Çil | Female | C | 82 | 70 |
Eda | Taş | Female | C | 67 | 82 |
69,79591837 | 75,7755102 |
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