(Solved): Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was ...

Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 0 5 3 1 1 2 4 0 1 3 042 1 3 1 1 2 3 3 1 3 2 470 3 2 28 4 4 1 4 1 2 2458 2 3 3 1 6 0 3 3 3 6 12 2 50 2 3 2 1 0 6 2 1 USE SALT (a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places.) Nonconforming Frequency Relative Frequency 0 1 2 O 3 4 O 5 7 8 20 15 10 13 5 12 Percent 15 15 10 6 5 2 2 2 1 X X |x X x 4 117 (b) What proportion of batches in the sample have at most five nonconforming transducers? (Round your answer to four decimal places.) x 916 012 217 What proportion have fewer than five? (Round your answer to four decimal places.) 916 x 200 What proportion have at least five nonconforming units? (Round your answer to four decimal places.) 916 x 250 (c) Draw a histogram of the data using relative frequency on the vertical scale. Percent Percent 3 4 5 100 033 033 033 .017 0 1 2 3 4 5 6 7 8 X X X X |x x X X X 6 7 8 Number Number O 14 12 10 8 6 4 Percent 15 10 0 1 2 3 4 5 6 7 8 5 01 2 3 4 5 6 78 Number Number