Temperature transducers of a certain type are shipped in batches of s0. A sample
ID: 3300680 • Letter: T
Question
Temperature transducers of a certain type are shipped in batches of s0. 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: 2 1 2 4 0132 0 53 3 13 2 4 7 0 2 3 (e) Determine frequencies and relative frequencles for the observed values of x- number of nonconforming transducers In a batch. (Round your relative frequencies to three decimal places.) Nonconforming Relative Frequency Frequency (b) What proportion of batches in the sample have at most four nonconforming traniducers? (Round your answer to three decimal places.) What proportion have fewer than four? (Round your answer to three decimal places.) What proportion have at least four nonconforming units? (Round your answer to three decimal places.)Explanation / Answer
a]
b]
Proportion of batches in the sample have at most four = sum of relative frequency up to four
= 0.117 + 0.200 + 0.233 + 0.217 + 0.100
= 0.867
Proportion of batches in the sample have fever than four = sum of relative frequency up to three
= 0.117 + 0.200 + 0.233 + 0.217
= 0.767
Proportion of batches in the sample have at least four = sum of relative frequency from four to eight.
= 1 - proportion of batches in the sample have fever than four
= 1 - 0.767
= 0.233
from the graph the data shows some positive skewed.
x Frequency Relative Frequency 0 7 0.117 1 12 0.200 2 14 0.233 3 13 0.217 4 6 0.100 5 3 0.050 6 2 0.033 7 2 0.033 8 1 0.017Related Questions
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