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Q3. In a study conducted by the Department of Mechanical Engineering at Virginia Tech, the steel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company, and a measure of flexibility was recorded for each. The data are as follows: Company A: 9.3 8.8 6.8 8.7 8.5 6.7 8.0 6.5 9.2 7.0 Company B: 11.0 9.8 9.9 10.2 10.1 9.7 11.0 11.1 10.2 9.6 (a) Calculate the sample mean and median for the data for the two companies. (b) Give your impression regarding any apparent differences between the two companies. 4+2 Marks

          Q3. In a study conducted by the Department of Mechanical Engineering at Virginia Tech, the steel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company, and a measure of flexibility was recorded for each. The data are as follows:
Company A: 9.3 8.8 6.8 8.7 8.5 6.7 8.0 6.5 9.2 7.0
Company B: 11.0 9.8 9.9 10.2 10.1 9.7 11.0 11.1 10.2 9.6
(a) Calculate the sample mean and median for the data for the two companies.
(b) Give your impression regarding any apparent differences between the two companies.
4+2 Marks

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Q3. In a study conducted by the Department of Mechanical Engineering at Virginia Tech, the steel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company, and a measure of flexibility was recorded for each. The data are as follows:
Company A: 9.3 8.8 6.8 8.7 8.5 6.7 8.0 6.5 9.2 7.0
Company B: 11.0 9.8 9.9 10.2 10.1 9.7 11.0 11.1 10.2 9.6
(a) Calculate the sample mean and median for the data for the two companies.
(b) Give your impression regarding any apparent differences between the two companies.
4+2 Marks

Added by Jacob R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Adi S

03/10/2023

Step 1

For Company A, we have the following data points: 9.3, 8.8, 6.8, 8.7, 8.5, 6.7, 8.0, 6.5, 9.2, 7.0 Show more…

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Q3. In a study conducted by the Department of Mechanical Engineering at Virginia Tech, the steel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company, and a measure of flexibility was recorded for each. The data are as follows: Company A: 9.3 8.8 6.8 8.7 8.5 6.7 8.0 6.5 9.2 7.0 Company B: 11.0 9.8 9.9 10.2 10.1 9.7 11.0 11.1 10.2 9.6 (a) Calculate the sample mean and median for the data for the two companies. (b) Give your impression regarding any apparent differences between the two companies. 4+2 Marks

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Transcript

00:01 We will be calculating mean for company a and b.

00:03 So for mean, first for company a, it is equal to summation of all the data divided by number of data.

00:16 So, summation of all data will be 4 .3 plus 8 .8 plus 6 .8 plus 8 .7 plus 8 .5 plus 6 .7 plus 8 .5 plus 6 .7 plus 8 .5 plus 6 .7 plus 8 .0 plus 6 .5 plus 9 .2 plus 7 .0.

00:47 This is the summation of all the data's and divided by number of data, that is 10.

00:56 So this is equal to 7 .45.

01:01 In the same way, for company b, we can calculate mean.

01:05 So company be mean will be equal to summation of all the data's.

01:10 So the data's are 11 .0 plus 9 .8 plus 9 .9 plus 10 .2 plus 10 .1 plus 9 .6.

01:39 This is the summation of data is divided by number of data that is 10.

01:47 So this is equal to 10 .27.

01:52 Now we need to calculate the median.

01:57 So for calculating the median, we have to arrange the data in ascending or descending order.

02:04 So for company a, the data needs to be arranged in ascending or descending order.

02:11 So we will be arranging in ascending order.

02:14 So 6 .5.

02:16 6 .7 6 .8, 7, 8 .5, 8 .8.

02:30 8 .8.

02:30 8...

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