Below provided dataset include some information of a random sample 100 Titanic passengers. Information include; Age, Class traveled: 1st, 2nd or 3rd class, Gender (M/F) and survival status (Yes/No)

Age 14 3 23 39 37 46 1 62 54 59 21 23 35 21 38 42 4 16 30 19 22 32 14 19 30 24 35 23 50 21 27 69 22 31 32 21 56 28 31 2 19 52 11 40 39 45 31 26 8 36 32 21 32 20 24 29 29 17 22 19 28 28 33 24 26 19 20 42 32 22 29 4 19 31 67 23 42 29 52 55 42 61 74 25 46 56 50 22 16 26 30 19 39 32 15 21 18 18 25 32

Class 3 2 3 1 3 1 2 1 1 1 2 3 3 3 2 1 3 3 3 3 2 3 3 3 2 1 3 3 1 3 2 3 1 3 2 1 1 2 1 3 3 2 3 1 3 1 1 3 3 3 3 3 3 3 2 3 1 2 3 1 3 3 2 3 3 2 3 2 3 3 3 2 3 3 1 3 3 3 1 1 3 1 3 3 1 1 3 3 3 3 3 1 1 3 3 3 3 3 2 3

Gender male male male female male male female male female female male female male male male female female female male male female male female male female male female female female male male male female female male female male female female male male male male male male female female female female male male male male female male male female female male female male male male male male female male male female male male female male female male female female male male male male male male male male female male male female female female male female male female female female male male male

Survived Yes Yes No Yes No No Yes No Yes Yes No Yes No No No Yes Yes Yes No No Yes Yes No No Yes No Yes No No No No No Yes Yes Yes Yes No Yes Yes No No No Yes No Yes Yes Yes No No No No No Yes No No Yes Yes Yes No Yes No No No No No Yes No No Yes No No Yes No Yes No Yes No No Yes No No No No No No Yes No No Yes Yes Yes No Yes No Yes No No No No No

We want to see if the average age of the passengers are different across the traveled class (1st, 2nd and 3rd class).

1. Write down the null and alternative hypothesis that answers this research question.
2. Check any assumptions relevant for the above suggested test.
3. Ignore the validity of the assumptions; from the methods we discuss in this class, carryout an appropriate test at 5% significance level (include any MINITAB outputs).
4. What is your conclusion at 5% significance level?
5. Depending on your decision in part 4, what further information can you incur about the age and the class they traveled? (Include any relevant MINITAB outputs)