By Hanson T.E., Johnson W.O.

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I) (ii) 42 Was this exceptional? Do you think the crop was affected by the unusual weather or was the higher yield part of the variability which always occurs? 0 mm. A sample of eight ball bearings was taken from the production line and the diameters measured. 1 S1 1 Calculate the mean and standard deviation of the diameters. Do you think the machine is correctly set? On page 29 you saw the example about Robert, the student at Avonford College, who collected data relating to the heights of female students.

Comment on the players’ goal scoring records. For a set of 20 items of data ∑ x = 22 and ∑ x 2 = 55. Find the mean and the standard deviation of the data. For a data set of 50 items of data ∑(x − x )2 f = 8 and ∑ x f = 20. Find the mean and the standard deviation of the data. 41 6 Two thermostats were used under identical conditions. The water temperatures, in °C, are given below. Thermostat A: Thermostat B: Exploring data S1 1 24 26 25 26 27 23 23 22 26 28 (i) Calculate the mean and standard deviaton for each set of water temperatures.

For a set of ten data items, ∑(x – 20) = – 140 and ∑(x – 20)2 = 2050. Find their mean and standard deviation. (i) 7 8 9 10 11 For a set of 20 data items, ∑(x + 3) = 140 and mean and standard deviation. ∑(x + 3)2 = 1796. 4. Find the value of a and the standard deviation. ∑(x + a)2 = 1854. 9. Find the value of a and the standard deviation. ∑(x – a)2 = 75. The mean The length of time, t minutes, taken to do the crossword in a certain newspaper was observed on 12 occasions. The results are summarised below.

### Bayesian inference for prevalence and diagnostic test accuracy based on dual-pooled screening by Hanson T.E., Johnson W.O.

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