Following table shows the ordered data set and calculations:
X | (X-mean)^2 | |
565 | 31.04049796 | |
568 | 6.61209796 | |
569 | 2.46929796 | |
572 | 2.04089796 | |
572 | 2.04089796 | |
573 | 5.89809796 | |
575 | 19.61249796 | |
Total | 3994 | 69.71428572 |
(a)
Median: There are 7 data values so median will be 4th data value of ordered data set. The median is
Median = 572
(b)
A tire manufacturer wants to determine the inner diameter of a certain grade of tire. Ideally,...
A tyre manufacturer wants to measure the inner dimension (in millimetres) of a particular type of a tyre. A sample of 12 tyres is selected and dimension is recorded as follows: 568 572 570 571 576 573 574 578 580 584 582 587 The mean inner dimension is ___ millimetres (2 decimal places) It is found the sample standard deviation is 5.99 millimetres. The lower limit of a 90% confidence interval for the population mean dimension (in millimetres) of...