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The number of cell phones per 100 residents in countries

in Europe is given in table #1 for the year 2010. The number of cell phones per 100 residents in countries of the Americas is given in table #2 also for the year 2010 ("Population reference bureau," 2013). 

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


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. 

μ1 = mean number of cell phones per 100 residents in countries of Europe. μ2 = mean number of cell phones per 100 residents in countries of the Americas. Which of the following statements correctly defines the null hypothesis HO?

A.  μ1 + μ2 = 0

B.  μ1 - μ2 < 0 (μ1 < μ2)

C.  μ1 − μ2 > 0 (μ1 > μ2)

D.  μ1 − μ2 = 0 (μ1 = μ2)



 μ1 = mean number of cell phones per 100 residents in countries of Europe. μ2 = mean number of cell phones per 100 residents in countries of the Americas. Which of the following statements correctly defines the alternate hypothesis HA?

A.  μ1 − μ2 > 0 (μ1 > μ2)

B.  μ1 - μ2 < 0 (μ1 < μ2)

C.   μ1 − μ2 = 0 (μ1 = μ2)

D.  μ1 + μ2 = 0

 



What is the level of significance α used:

in decimal form. Examples:  0.01  0.02   0.05   0.10


 (iv)  For sample from population with mean = μ1 :  

     Determine sample mean x¯1 and sample standard deviation s1


Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers: 

13.20,2.34 

0.27,0.06

-10.31,0.07


(v)  For sample from population with mean = μ2 :

       Determine sample mean x¯2 and sample standard deviation s2


Enter sample mean in decimal form to nearest hundredth, then comma, then sample standard deviation in decimal form to nearest hundredth. Examples of correctly entered answers: 

13.20,2.34

0.27,0.06

-10.31,0.07

 


what is the degrees of freedom df :

Enter value in decimal form rounded down to nearest whole number. Examples of correctly entered answers:

2   3   16    110


what is the test statistic:

Enter value in decimal form rounded to nearest thousandth. Examples: 0.014     3.037    16.500    110.081


 Using tables, calculator, or spreadsheet: what is the p-value corresponding to test statistic.

Enter value in decimal form rounded to nearest ten-thousandth. Examples: 0.0001   0.0021    0.0305   0.6004    0.8143   1.0000

 


 (ix) Comparing p-value and α value, which is the correct decision to make for this hypothesis test? 

A. Accept Ho

B. Fail to reject Ho

C. Reject Ho

D. Accept HA 


  (x) Select the statement that most correctly interprets the result of this test:

A. The result is not statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that the mean number of cell phones in countries of Europe is more than in countries of the Americas. 

B. The result is not statistically significant at .01 level of significance. There is not enough evidence to support the claim that the mean number of cell phones in countries of Europe is more than in countries of the Americas. 

C. The result is statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that the mean number of cell phones in countries of Europe is more than in countries of the Americas. 

D. The result is statistically significant at .01 level of significance. There is not enough evidence to support the claim that the mean number of cell phones in countries of Europe is more than in countries of the Americas. 

Top Answer

C.The result is statistically significant at .01 level of... View the full answer

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