For a recent "Smartest State in America" article, a journalist wants to know how many people with a bachelor's degree or higher are in each state. The journalist finds that there are an average of  5,000,000 people in each state with a bachelor's degree or higher, with a standard deviation of 450,000 people, normally distributed. To further analyze her data, she wants to identify the amount of people that separates the 12.5% of the means of the population with a bachelor's degree from the highest 87.5% in a sampling distribution of 25 states. Use the z-table below:   Round the z-score to two decimal places. Round x¯ to the nearest whole number.

MATLAB: An Introduction with Applications
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For a recent "Smartest State in America" article, a journalist wants to know how many people with a bachelor's degree or higher are in each state. The journalist finds that there are an average of  5,000,000 people in each state with a bachelor's degree or higher, with a standard deviation of 450,000 people, normally distributed. To further analyze her data, she wants to identify the amount of people that separates the 12.5% of the means of the population with a bachelor's degree from the highest 87.5% in a sampling distribution of 25 states. Use the z-table below:

 

Round the z-score to two decimal places. Round x¯ to the nearest whole number.

 
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
-1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046
|-1.5 0.067 0.066 0.064 0.063 0.0620.061 0.059 0.058 0.057 0.056
|-1.4 0.081 0.079 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.068
|-1.3 0.097 0.095 0.093 0.092 0.090 0.089 0.087 0.085 0.084 0.082
|-1.2 0.115 0.113 0.111 0.109 0.107 0.106 0.104 0.102 0.100 0.099
-1.1 0.136 0.133 0.131 0.129 0.1270.125 0.1230.121 0.119 0.117
Transcribed Image Text:0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -1.6 0.055 0.054 0.053 0.052 0.051 0.049 0.048 0.047 0.046 0.046 |-1.5 0.067 0.066 0.064 0.063 0.0620.061 0.059 0.058 0.057 0.056 |-1.4 0.081 0.079 0.078 0.076 0.075 0.074 0.072 0.071 0.069 0.068 |-1.3 0.097 0.095 0.093 0.092 0.090 0.089 0.087 0.085 0.084 0.082 |-1.2 0.115 0.113 0.111 0.109 0.107 0.106 0.104 0.102 0.100 0.099 -1.1 0.136 0.133 0.131 0.129 0.1270.125 0.1230.121 0.119 0.117
z -Score =
people
Transcribed Image Text:z -Score = people
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