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  3. 2. what is the sample size, n, for a 95% confidenc

2. What is the sample size, n, for a 95% confidence interval on the mean, if...

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Basic Math

2. What is the sample size, n, for a 95% confidence interval onthe mean, if we know that the process’ standard error is 3.2 units,and we want to allow at most 1.0 units for our error?

3. Let’s say that you just randomly pulled 32 widgets from yourproduction line and you determined that you need a sample size of46 widgets, However, you get delayed in being able to pull anotherbunch of widgets from the line until the start of the next day. Howmany widgets should you now pull for your analysis?

4. What is the sample size, n, for a 98% confidence interval onthe mean, if we know that the process’ standard error is 3.2 units,and we want to allow at most 0.5 units for our error?

5. What is the sample size, n, for a 95% confidence interval onthe mean, if we know that the process’ standard error is 3.2 units,and we want to allow at most 0.5 units for our error?

Answer & Explanation Solved by verified expert
3.8 Ratings (721 Votes)

2)

for 95 % CI value of z= 1.960
standard deviation ?= 3.2
margin of error E = 1
required sample size n=(z?/E)2                                         = 40.0

3)

46  widgets ;as it will remain same to avoid bias

4)

for 98 % CI value of z= 2.33
standard deviation ?= 3.2
margin of error E = 0.5
required sample size n=(z?/E)2                                         = 223.0

( try 222 if this comes wrong)

5)

for 95 % CI value of z= 1.96
standard deviation ?= 3.2
margin of error E = 0.5
required sample size n=(z?/E)2                                         = 158.0

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