Question

In a survey of 100 U.S. residents with a high school diploma as their highest educational degree (Group 1) had an average yearly income was $35,621. Another 120 U.S. residents with a GED (Group 2) had an average yearly income of $34,498. The population standard deviation for both populations is known to be $4,150. At a 0.01 level of significance, can it be concluded that U.S. residents with a high school diploma make significantly more than those with a GED?  Make sure you put the 0 in front of the decimal.

Enter the P-Value - round to 4 decimal places. p-value =   

Answer 1

Answer:

H0: 1 <= 2

Ha: 1 > 2

Test statistics

z = (1 - 2) / sqrt [ 1 / n1 + 2 / n2 ]  

= (35621 - 34498 ) /sqrt (41502 / 100 + 41502 / 120 )

Z = 1.9985

p value is

P( z > 1.9985)= 1- ( z < 1.9985)

= 1- 0.9767

= 0.0233

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