There are 527 pencils 646 erasers 748 sharpeners there are to be put in seperate packets containing the same number of items fin
1 answer:
Step 1
<u>Find the Greatest Common Factor (GCF)</u>
the prime factorization of each number is equal to
The GCF is 17
That means that the maximum number of packets is 17 and the maximum number of the items possible in each packet is
Number of pencils=527/17=31 pencils in each packet
Number of erasers=646/17=38 erasers in each packet
Number of sharpeners=748/17=44 sharpeners in each packet
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Answer:
The sample consisting of 64 data values would give a greater precision.
Step-by-step explanation:
The width of a (1 - <em>α</em>)% confidence interval for population mean μ is:
So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).
That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.
Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.
The two sample sizes are:
<em>n</em>₁ = 25
<em>n</em>₂ = 64
The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.
Width for n = 25:
Width for n = 64:
Thus, the sample consisting of 64 data values would give a greater precision