LU Ustimale a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = 80.4. You would like to be 95% confident that your estimate is within 0.5 of the true population mean. How large of a sample size is required?

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Try This 8.1.3
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe
the population standard deviation is approximately o =
that your estimate is within 0.5 of the true population mean. How large of a sample size is required?
80.4. You would like to be 95% confident
8.2 Confidence Interval for a Single Population Mean µ using the Student t Distribution (o
UNKNOWN)
When the population standard deviation is unknown the critical value no longer comes from the
standard normal distribution table. The critical value is taken from the t distribution and we estimate o
using the sample standard deviation s. We use the t-table with the Degrees of Freedom = n - 1 and
margin of error E = tc n
The sample is random and either the population is normally distributed or n2 30.
E = t. ·
Requirements for creating a confidence interval for a mean with an unknown standard deviation:
vn
The margin of error is given by:
Parts of the notes were taken from the full Open Stax textbook, download the textbook for free at
org/content/col11562/latest/
Transcribed Image Text:10 2 127 (Rounded up) Try This 8.1.3 You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately o = that your estimate is within 0.5 of the true population mean. How large of a sample size is required? 80.4. You would like to be 95% confident 8.2 Confidence Interval for a Single Population Mean µ using the Student t Distribution (o UNKNOWN) When the population standard deviation is unknown the critical value no longer comes from the standard normal distribution table. The critical value is taken from the t distribution and we estimate o using the sample standard deviation s. We use the t-table with the Degrees of Freedom = n - 1 and margin of error E = tc n The sample is random and either the population is normally distributed or n2 30. E = t. · Requirements for creating a confidence interval for a mean with an unknown standard deviation: vn The margin of error is given by: Parts of the notes were taken from the full Open Stax textbook, download the textbook for free at org/content/col11562/latest/
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