Question

he upper boundaries for a distribution of waiting times (in seconds) in a grocery store aisle are 44, 55, 66, and 77. List the value for each lower boundary in this distribution.

Lower boundary	Upper boundary

upper boundaries are 77, 66, 55, 44

Answer 1

SOLUTION:

From given data,

upper boundaries for a distribution of waiting times (in seconds) in a grocery store aisle are 44, 55, 66, and 77. List the value for each lower boundary in this distribution.

The class width is obtained as below:

From the information , the upper limits are given as, 44,55,66,77.

It is evident that the upper limit of a certain step is the lower limit of the next step.

The class width can be obtained by the subtraction of the upper class limits.

C = x _i+1 - x_i

= 55 - 44

= 11

The class width would be same for all the class intervals.

The lower limits are obtained as shown below:

The upper limits are obtained as 44,55,66,77.

The class width is 11.

The lower limit corresponding to the upper limit 44 is.

x₁ = x _i+1 - c_i

= 44 - 11

= 33

The lower limit corresponding to the upper limit 55 is,

x₂ = x _i+1 - c_i

= 55 - 11

= 44

The lower limit corresponding to the upper limit 66 is,

x₃ = x _i+1 - c_i

= 66 - 11

= 55

The lower limit corresponding to the upper limit 77 is,

x₄ = x _i+1 - c_i

= 77 - 11

= 66

The lower limits are 33 , 44 , 55 , 66 . The table is

Lower boundary	Upper boundary
66	77
55	66
44	55
33	44