is a guideline of the area under the Normal curve 5. [4 points] The for plus and

Question

is a guideline of the area under the Normal curve 5. [4 points] The for plus and minus 1, 2 and 3 standard deviations from the mean 6. [10 points] Using the visual hints within the box, write in the best mathematical relationship for the following Normal distributions on the blank line (i.e. " " for skewness and kurtosis, and write the distribution type from the perspective of kurtosis. Skewness Skewness KurtosiS Kurtosis: 0 distribution Skewness Skewness_0 Kurtosis_ Kurtosis Kurtosis0 distribution Kurtosis: distribution 7. oil change at a car dealership has a population mean [10 points] Repair time for an minutes and a population standard deviation Ox-5 minutes. If a random sample of 100 oil changes is selected, there is a 95% chance that the sample mean is below which value? x-40

Explanation / Answer

5) Answer: 68-95-99.7 rule is a guideline for the area under the Normal curve for plus and minus 1,2,3 standard deviation from mean.

Reason: In statistics, the 68–95–99.7 rule is a shorthand used to remember the percentage of values that lie within a band around the mean in a normal distribution with a width of two, four and six standard deviations, respectively; more accurately, 68.27%, 95.45% and 99.73% of the values lie within one, two and three standard deviation from mean.

6) Answer: for box (1,1): Skewness <0

for box (1,2): Skewness =0 ; Kurtosis >0 ; Kurtosis Distribution : Normal

for box (2,1): Skewness =0 ; Kurtosis <0 ;

for box (2,2): Skewness =0 ; Kurtosis > 0 ;

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