  # A sample of human brain volumes (cm3) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile plot, thenidentify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population witha normal distribution1051141510781072959107210691044List the z scores for the normal quantile plot.(Round to two decimal places as needed. Use ascending order.)

Question help_outlineImage TranscriptioncloseA sample of human brain volumes (cm3) is given below. Use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution 1051 1415 1078 1072 959 1072 1069 1044 List the z scores for the normal quantile plot. (Round to two decimal places as needed. Use ascending order.) fullscreen
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Step 1

The z-score:

The z-score for a value of the data set, when population mean and standard deviation are unknown, is obtained using the formula:

Step 2

Calculation of z-scores:

The given data is first typed into an EXCEL sheet in cells B2:B9 and sorted in ascending order in cells C2:C9.

The z-score (rounded to 2 decimal places) for the smallest observation (959) in cell C2 is calculated using the EXCEL formula: =(B2-AVERAGE(B\$2:B\$9))/STDEV.S(B\$2:B\$9). It is then dragged till cell C9 to get all the z-scores. The following image shows the output:

Step 3

Quantiles and expected z-scores:

The quantile for each z-score is obtained by first ranking of the observations, starting with 1 for the smallest observation, stored in cells D2:D9. Note that the value 1,072 occurs twice, in 5th and 6th positions. So, the rank for each 1,072 is 5.5.

The quantile for the first rank is obtained in cell E2 using the formula: =(D2-0.5)/(COUN...

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