Question

Consider 20 students of your class and construct the data of their approximate

height and weight. Using the data

(i) Find the 95% confidence interval for the difference in means and

ratio of variances of height and weight.

(ii) Test at 5% level of significance that the two variables ( height and

weight) differ in their variability and average.

(iii) What is the relationship between confidence intervals and tests of

hypotheses in (i) and (ii)?​

Answer 1

Answer:

Minimum height =131cm

Maximum height =156cm

Range =156−131=25

Number of classes =4

Class range =

4

25

=6.25 approx 6

class 1=131+6=137

class 2=137+6=143

class 3=143+6=149

class 4=149+6155

class 5=155+6=161

Class interval Frequency

131−137 9

137−143 3

143−149 2

149−155 4

155−161 2