Question

In: Statistics and Probability

A survey of prices for external disk drives found the accompanying​ data, where 1 TB equals...

A survey of prices for external disk drives found the accompanying​ data, where 1 TB equals 1000 gigabytes. Some research on the prices discovered that the 160 GB hard drive was a special​ "hardened" drive designed to resist physical shocks. Because it is completely different from the other​ drives, it was removed from the data. The correlation is now 0.994 and other summary statistics are shown in the accompanying popup window. Complete parts a and b.

Solutions

Expert Solution

a) If a drive has a capacity of 2.8464 TB (or 1 SD above the mean of 1.259 TB), how many standard deviations above or below the mean price of $157.32 do you expect the drive to cost?

The expected cost is _________, standard deviations __above or below__ the mean price.

b) To what price does that correspond?

$ _______ ( Round to the nearest cent as needed.)

Capacity (in TB) Price (in $)
0.090 19.00
0.120 34.49
0.210 223.45
0.250 44.99
0.350 52.99
1.0 161.00
3.0 355.79
4.0 433.00

Capacity (in TB)    / Price (in $)

x= 1.259 / y= 157.32

SD (x) = 1.5874 / SD(y) = 169.87

zx = (x-xbar)/sx
zx = (2.8464-1.259)/1.5874
zx = 1(which was given in the question)

zyhat = r * zx
zyhat = .995 * 1
zyhat = 0.995


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