A sample of 134 firecrackers contained 6 duds. How many duds would you expect in a sample of 2,546?
Assuming 6 on 134 is a population mean, then we can expect 2546*6/134 duds for a sample of 2546.
To determine the number of duds you would expect in a sample of 2,546, we can use the concept of proportionality.
First, let's find the proportion of duds in the initial sample of 134 firecrackers. We divide the number of duds (6) by the total number of firecrackers (134):
Proportion of duds = 6/134
Next, we can use this proportion to estimate the number of duds in the larger sample of 2,546. Multiply the proportion of duds by the total number of firecrackers in the larger sample:
Number of duds in the larger sample = (Proportion of duds) * Total number of firecrackers in the larger sample
Number of duds in the larger sample = (6/134) * 2,546
To solve this, you can use a calculator or perform the calculation manually.
Therefore, you would expect the sample of 2,546 firecrackers to contain approximately 113 duds.