According to Forbes, there are currently 2,153 billionaires in the US. A professor studying wealth in the US claims that billionaires are, on average, 10 years older than millionaires in the US. To investigate this belief, he selects a random sample of 10 billionaires in the US and 10 millionaires in the US and records the ages of each of these individuals. Here are dotplots and summary statistics of the data Do these data provide convincing evidence that the average age of billionaires in the US is more than 10 years greater than the average age of millionaires? a) What are the appropriate hypotheses for this test of significance? b) Are the conditions for inference met? Justify your answer. I C) The researcher determines that the null hypothesis cannot be rejected using a significance level of 0.05. What standardized test statistic and P-value lead to this decision? Draw and shade an appropriate distribution to illustrate your answer

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According to Forbes, there are currently 2,153 billionaires in the US. A professor studying wealth in the US claims that billionaires are, on average, 10 years older than millionaires in the US. To investigate this belief, he selects a random sample of 10 billionaires in the US and 10 millionaires in the US and records the ages of each of these individuals. Here are dotplots and summary statistics of the data Do these data provide convincing evidence that the average age of billionaires in the US is more than 10 years greater than the average age of millionaires? a) What are the appropriate hypotheses for this test of significance? b) Are the conditions for inference met? Justify your answer. I C) The researcher determines that the null hypothesis cannot be rejected using a significance level of 0.05. What standardized test statistic and P-value lead to this decision? Draw and shade an appropriate distribution to illustrate your answer
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FRQ 2
According to Forbes, there are currently 2,153 billionaires in the US. A professor studying wealth in the
US claims that billionaires are, on average, 10 years older than millionaires in the US. To investigate this
belief, he selects a random sample of 10 billionaires in the US and 10 millionaires in the US and records
the ages of each of these individuals. Here are dotplots and summary statistics of the data.
S
Billionaires
10
68.5
16.057
20
30
40
50
60
70
80
90
I.
10
56.2
25.539
+
+.
+
Millionaires
20
30
40
50
60
70
80
90
Age (years)
Do these data provide convincing evidence that the average age of billionaires in the US is more than 10
years greater than the average age of millionaires?
a) What are the appropriate hypotheses for this test of significance?
Transcribed Image Text:Student Guide (continued) FRQ 2 According to Forbes, there are currently 2,153 billionaires in the US. A professor studying wealth in the US claims that billionaires are, on average, 10 years older than millionaires in the US. To investigate this belief, he selects a random sample of 10 billionaires in the US and 10 millionaires in the US and records the ages of each of these individuals. Here are dotplots and summary statistics of the data. S Billionaires 10 68.5 16.057 20 30 40 50 60 70 80 90 I. 10 56.2 25.539 + +. + Millionaires 20 30 40 50 60 70 80 90 Age (years) Do these data provide convincing evidence that the average age of billionaires in the US is more than 10 years greater than the average age of millionaires? a) What are the appropriate hypotheses for this test of significance?
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