Question

Attached is the problem I am working on

I have to use phantoms, and i have already completed steps p and H, I need help help with step A , which is to "state and check the assumptions for the hypothesis test", I think the correct hypothesis test to use would be the 2 sample t test, but im not sure.

The number of cell phones per 100 residents in countries in Europe is given in table #9.3.9 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in table #9.3.10 also for the year 2010 ("Population reference bureau," 2013). Is there enough evidence to show that the mean number of cell phones in countries of Europe is more than in countries of the Americas? Test at the 1% level.

Table 1: Number of Cell Phones per 100 Residents in Europe

100	76	100	130	75	84
112	84	138	133	118	134
126	188	129	93	64	128
124	122	109	121	127	152
96	63	99	95	151	147
123	95	67	67	118	125
110	115	140	115	141	77
98	102	102	112	118	118
54	23	121	126	47

Table 2: Number of Cell Phones per 100 Residents in the Americas

158	117	106	159	53	50
78	66	88	92	42	3
150	72	86	113	50	58
70	109	37	32	85	101
75	69	55	115	95	73
86	157	100	119	81	113
87	105	96

I have already completed steps p, and h but im stuck on step a. I do not know which hypothesis test this question meets the assumptions for. I think it is 2 sample T test but not sure. What test should I be using and what are the assumptions for that test?

Answer 1

I have answered the question below

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Answer:

(That is, the true mean number of cell phones per 100 residents in Europe is less than or equal to the true mean number of cell phones per 100 residents in America)

(That is, the true mean number of cell phones per 100 residents in Europe is more than the true mean number of cell phones per 100 residents in America)

We have to perform a two sample t test for difference in means of the 2 groups

Mean:

Std:

n1= 53

Mean:

Std:

n2= 39

The degree of freedom:

T-critical value:

Error bound of the mean:

Difference between means: