Question

Use the given information to find the minimum sample size required to estimate an unknown population mean μ. How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $2 of the population mean, and the population standard deviation is known to be $12.

Name: use the given information to find the minimum sample size required to estimate an unknown population mean how many students must be randomly selected to estimate the mean weekly earnings of students a
Uploaded: 2022-07-28T08:36:39-08:00
Duration: 5 min 3 s
Channel: Jay-Anne Bulauan
Description: use the given information to find the minimum sample size required to estimate an unknown population mean how many students must be randomly selected to estimate the mean weekly earnings of students a

          Use the given information to find the minimum sample size required to estimate an unknown population mean μ.

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $2 of the population mean, and the population standard deviation is known to be $12.

Added by Noah L.

Instant Answer

Solved by Expert Jay-Anne Bulauan

07/28/2022

Step 1

96 (from Z score table or calculator). Given in the problem, σ = $12 and E = $2. Substituting these values into the formula, we get: n = (1.96*12/2)^2 n = (11.52)^2 n = 132.7104 Since we can't have a fraction of a student, we round up to the nearest whole Show more…

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Use the given information to find the minimum sample size required to estimate an unknown population mean μ. How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $2 of the population mean, and the population standard deviation is known to be $12.