4. Recorded weight losses in lbs for participants in two different diet programs

Question

4. Recorded weight losses in lbs for participants in two different diet programs are

Diet Program 1 16 29 18 24 24 19

Diet Program 2 15 25 47 38 25 29

Compute the means and sample standard deviations for weight losses in the two samples and determine which of the following two statements are true.

(i) Participants in Program 1 lost more weight on average.

(ii) The recorded weight loss for the participants varied more within Program 2 than within Program 1.

(a) (i) only

(b) (ii) only

(c) (i) and (ii)

(d) Neither statement is true.

Explanation / Answer

From the given data,

Descriptive Statistics: Program 1, Program 2

           T    otal                                         Sum of
Variable   Count   Mean StDev Variance     Sum    Squares
Program 1      6    21.67    4.84     23.47    130.00 2934.00
Program 2      6    29.83    11.21   125.77    179.00 5969.00

Correct Answer: (B)

Since i) Mean weight of Program1 21.67 is less than mean weight of program 2 (29.83)

      ii) Variance weight of Program2, (125.77 ) is more than mean weight of program 1 (23.47 )

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