This Question: 8 pts 2 of 13 35 pls tO Help The acc nder, 1.0 liter engine. (a)

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This Question: 8 pts 2 of 13 35 pls tO Help The acc nder, 1.0 liter engine. (a) Compute the z-score corresponding to the individual who obtained 37.6 miles per gallon. Interpret this result c) Compute and interpret the interquarbile range, IQR the the lower and upper fences. Are there any outliers? Click the icon to view the data The z score corresponding to the indi dualis and indicates that the data value s standard deva o (Type integers or decimals rounded to two decimal places as needed) (b) Determine the quartiles s the MPG Data (Type an integer or a decimal. Do not round.) ary Click to Print Done SONY navigate images with simple hand gestures

Explanation / Answer

(A) Here to calculate Z score, we first indentify mean mpg and standard deviation here.

Mean sample mean = 39 mpg

Standard deviation = 3.5252 mpg

Here Z score for 37.6 mpg

z = (37.6 - 39)/3.5252 = -0.40

and that indicates the data value is 0.40 standard deviation away from the population mean in negative side.

(b) As there are 24 data values, Q1 would be the mean of 6th an 7th value

Q1 = (36.4 + 37.4)/2 = 36.9 mpg

Q2 is the mean of 12th and 13th value

Q2 = (38.5 + 38.7)/2 = 38.6

Now Q3 would be the mean of 18th and 19th value

Q3 = (40.5 + 41.5)/2 = 41 mpg

(c) IQR = Q3 - Q1 = 41 - 36.9 = 4.1 mpg

(d) Lower fence = 32.5

Upper fence = 49.1

Here for lower fence, if the difference between Q1 and lower fence (32.5 - 36.9 = -4.4) is less than 1.5 * IQR = 1.5 * 4.1 = 6.15 so no lower fence is not an outlier

For upper fence, distance between Q3 and upper fence (49.1 - 41 = 8.1) is greater than 1.5 * QR = 6.15 so upper fence is an outlier.

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