er 3 Homework × eztomh education.com/hm.tpx?--0.3955966484153005-15 16649931297

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er 3 Homework × eztomh education.com/hm.tpx?--0.3955966484153005-15 16649931297 Connect BUSINE SS STATISTICS ter 3 Homework Question 10 (of 10) value 5.00 points Consider a sample with 10 observations of-1, 1, 0, 14,-2, 11, 9, 12, 5, and 2. Use z-scores to determine if there are any outiers in the data; assume a bell-shaped distribution. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.) The z-score for the smallest observation The z-score for the largest observation There are 1 (Clickto select)·in the data References eBook & Resources Worksheet

Explanation / Answer

arranging the data in ascending order we get,

14

Mean of the data = 5.1

population s.d. = 5.93

n=10

Zsmallest = (X - ) /
= (-2 - 5.1) / 5.93

= -1.1973 = -1.20

Zlargest = (X - ) / = (14 - 5.1) / 5.93

= 1.50084= 1.50

Any z-score greater than 3 or less than -3 is considered to be an outlier. This rule of thumb is based on the empirical rule. From this rule we see that almost all of the data (99.7%) should be within three standard deviations from the mean.

Here, no z value is greater than 3 or less than -3. So, there is no outliers.

-2 -1 0 1 2 5 9 11 12

14

Mean of the data = 5.1

population s.d. = 5.93

n=10

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