in 1965, the mean price ofa new car was 2650 and tehs tandard deviatino was 1000. in 2011, the mean was 30,500 and teh standard deviatino was 90000. if a ford mustang cost 2300 in 1965 and 28000 in 2011, in which year was it more eexpensive relative to other cars

Respuesta :

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:

brainly.com/question/13579780

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