Question

Child height (cm)	Father height (cm)	Gender
145.0	136.5	M
125.5	121.0	M
125.5	119.5	M
133.5	128.0	M
126.0	135.5	M
142.5	131.0	M
127.5	134.5	M
133.5	132.5	M
130.5	133.5	M
131.0	126.0	M
136.0	124.0	M
132.5	146.5	M
132.0	134.5	M
121.5	142.0	M
131.0	119.0	M
136.0	133.5	M
134.5	118.5	M
138.5	134.0	F
128.5	132.0	F
140.5	131.5	F
134.5	141.5	F
132.5	136.5	F
126.0	136.5	F
143.0	136.0	F
130.0	143.0	F
123.5	134.0	F
143.5	146.0	F
140.0	137.0	F
132.5	136.5	F
138.5	144.0	F
135.0	139.0	F
135.0	136.0	F

using the Minitab software:

a. Construct an appropriate chart to represent the Genders

b. Construct a histogram (using 6 classes or groups) and a stem and leaf for the child height

c. Describe the shape of the distribution in question2.

d. Are there any unusual observations for the Father height?

e. Construct the Box plot and Stem-Leave for the child’s height.

f. Compute the upper and lower bounds of the IQR for the Father height.

g. Compute the mean and standard deviation for the child’s height.

h. Test the normality for the child’s height.

i. Estimate a 95% confidence interval for the child’s height. Assume the population standard deviation is 6.1. Interpret the results.

j. Do the dataset provide sufficient evidence that the average of the child’s height is different from 140 cm? Using 1% significance level.

Answer 1

a. Construct an appropriate chart to represent the Genders

as its categorical variable appropriate chart is bar chart and pie chart

In minitab select the data

go to Graph>Barchart

we get

Output:

Barg graph:

there were 15 females and 17 males

Pie chart:

b. Construct a histogram (using 6 classes or groups) and a stem and leaf for the child height

select

Graph>Histogram

click on x axis number and sleect number of bins as 6.

click ok

Output:

Stem-and-Leaf Display: Child height (cm)

Stem-and-leaf of Child height (cm) N = 32
Leaf Unit = 1.0

1 12 1
2 12 3
4 12 55
7 12 667
8 12 8
12 13 0011
(6) 13 222233
14 13 4455
10 13 66
8 13 88
6 14 00
4 14 233
1 14 5

c. Describe the shape of the distribution in question2.

shape is symmetirical

Follows normal distribution

d. Are there any unusual observations for the Father height?

With boxplot we can check wheteher there are any outliers

Yes therre are outliers