Cars were more expensive in 2011 as the standard score is higher in 2011.
Consider the given values,
In 1965, the mean price of the car is $2,650.
The standard deviation, σ = $1,000
In 2011, the mean price of the car is $30,500.
The standard deviation in 2011, σ = $9,000
The cost in 1965 is $2,300.
The cost in 2011 is $28,000.
Now, the formula for the standard Z score is given as:
z score = [ X - mean ] ÷ σ
Z = [ X - μ ] / σ
So,
In 1965
Z score = [ $2,300 - $2,650] ÷ 1,000
Z = - 0.35
In 2011
Z score = [ $28,000 - $30,500 ] ÷ 9,000
Z = - 0.278
Now, the standard score in 2011 is higher than in 1965.
Therefore, cars were more expensive in 2011 as the standard score is higher in 2011.
Learn more about standard score here:
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