Consider the following data. The summary statistics, histogram, and normal quantile plot were generated by Minitab.

27	27	27	28	28	28	28	28	28	29
29	29	29	29	29	29	29	29	29	30
30	30	30	30	30	30	30	30	30	30
30	31	31	31	31	31	31	31	31	32
32	32	32	33	33	33	33	33	34	34

Variable Data	N 50	N* 0	Mean 30.160	SE Mean 0.256	StDev 1.811
Variable Data	Minimum 27.000	Q1 29.000	Median 30.000	Q3 31.000	Maximum 34.000

(a) Does the histogram indicate normality for the data distribution? Explain.

Yes, we observe a uniform, symmetric distribution.No, we observe a uniform, skewed distribution.No, we observe a bell-shaped, skewed distribution.Yes, we observe a bell-shaped, symmetric distribution.

(b) Does the normal quantile plot indicate normality for the data distribution? Explain.

No, the points do not fall on a straight line.No, the points fall approximately on a straight line.Yes, the points fall approximately on a straight line.Yes, the points do not fall on a straight line.

(c) Compute the interquartile range.

3

Check for outliers.

There are no outliers.There are two outliers.There are no outliers, but two data points fall exactly on the boundary.There is one outlier.

(d) Compute Pearson's index. (Round your answer to three decimal places.)

5

Does the index value indicate skewness?

YesNo

(e) Using parts (a) through (d), would you say the data are from a normal distribution?

No, the graphs do not support normality, there is no skewness, but there are apparent outliers.No, the graphs do not support normality, there are no apparent outliers, but there is skewness.Yes, the graphs support normality, there are no apparent outliers, but there is skewness.Yes, the graphs support normality, there are no apparent outliers, and there is no skewness.Consider the following data. The summary statistics, histogram, and normal quantile plot were generated by Minitab.

27	27	27	28	28	28	28	28	28	29
29	29	29	29	29	29	29	29	29	30
30	30	30	30	30	30	30	30	30	30
30	31	31	31	31	31	31	31	31	32
32	32	32	33	33	33	33	33	34	34

Variable Data	N 50	N* 0	Mean 30.160	SE Mean 0.256	StDev 1.811
Variable Data	Minimum 27.000	Q1 29.000	Median 30.000	Q3 31.000	Maximum 34.000

(a) Does the histogram indicate normality for the data distribution? Explain. Yes, we observe a uniform, symmetric distribution. No, we observe a uniform, skewed distribution. No, we observe a bell-shaped, skewed distribution. Yes, we observe a bell-shaped, symmetric distribution. (b) Does the normal quantile plot indicate normality for the data distribution? Explain. No, the points do not fall on a straight line. No, the points fall approximately on a straight line. Yes, the points fall approximately on a straight line. Yes, the points do not fall on a straight line. (c) Compute the interquartile range. 3 Check for outliers. There are no outliers. There are two outliers. There are no outliers, but two data points fall exactly on the boundary. There is one outlier. (d) Compute Pearson's index. (Round your answer to three decimal places.) 5 Does the index value indicate skewness? Yes No (e) Using parts (a) through (d), would you say the data are from a normal distribution? No, the graphs do not support normality, there is no skewness, but there are apparent outliers. No, the graphs do not support normality, there are no apparent outliers, but there is skewness. Yes, the graphs support normality, there are no apparent outliers, but there is skewness. Yes, the graphs support normality, there are no apparent outliers, and there is no skewness.