Diameters of 30 rivet heads in 1/100 of an inch are given below: 6.62 6.66 6.7...

Diameters of 30 rivet heads in 1/100 of an inch are given below:

6.62	6.66	6.7	6.73	6.76	6.8
6.62	6.68	6.72	6.74	6.76	6.81
6.64	6.7	6.72	6.74	6.76	6.81
6.66	6.7	6.72	6.74	6.77	6.81
6.66	6.7	6.72	6.75	6.78	6.82

Prepare a Stem-and-leaf plot of the sample, and comment.
What is the modal diameter of the rivets?
Calculate coefficient of skewness, and comment on it.
Find Q1, Q2, and Q3.
Find 93^rd percentile and interpret this value.
Draw a box plot and comment.
Do the data satisfy Empirical Rule?
Calculate coefficient of variation and comment on it. Is the variation in the sample relative to the mean too much?
Prepare a relative frequency distribution of the data.
What proportion of the observations that fall below the first quartile for the above sample?
What proportion of the observations that fall above the mean?
What proportion of the observations that fall within 2 standard deviation of the mean?
Calculate z-scores of the smallest and the largest observations in the sample. What do they add?

Expert Solution

milcah answered 2 years ago

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