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3. The following random sample was selected from a normal distribution: 4, 6, 5, 9, 3, 3 a. Construct a 90% confidence interval for the population mean ? b. Assume the sample mean x and sample standard deviation s, remain exactly the same as those you calculated in part a but are based on sample size n= 25 observations rather than n=6 in part a. Construct a 90% confidence interval for the population mean ?. What is the effect of increasing the population size on the width of the confidence interval?

          3. The following random sample was selected from a normal distribution: 4, 6, 5, 9, 3, 3
a. Construct a 90% confidence interval for the population mean ?
b. Assume the sample mean x and sample standard deviation s, remain exactly the same as those you calculated in part a but are based on sample size n= 25 observations rather than n=6 in part a. Construct a 90% confidence interval for the population mean ?. What is the effect of increasing the population size on the width of the confidence interval?

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3. The following random sample was selected from a normal distribution: 4, 6, 5, 9, 3, 3
a. Construct a 90% confidence interval for the population mean ?
b. Assume the sample mean x and sample standard deviation s, remain exactly the same as those you calculated in part a but are based on sample size n= 25 observations rather than n=6 in part a. Construct a 90% confidence interval for the population mean ?. What is the effect of increasing the population size on the width of the confidence interval?

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Dominador Tan

08/21/2023

Step 1

Calculate the sample mean ($\bar{X}$) and sample standard deviation (s) for the given sample. Sample mean: $\bar{X} = \frac{4+6+5+9+3+3}{6} = \frac{30}{6} = 5$ Sample standard deviation: $s = \sqrt{\frac{(4-5)^2+(6-5)^2+(5-5)^2+(9-5)^2+(3-5)^2+(3-5)^2}{6-1}} = Show more…

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3. The following random sample was selected from a normal distribution: 4, 6, 5, 9, 3, 3 a. Construct a 90% confidence interval for the population mean μ b. Assume the sample mean x and sample standard deviation s, remain exactly the same as those you calculated in part a but are based on sample size n= 25 observations rather than n=6 in part a. Construct a 90% confidence interval for the population mean μ. What is the effect of increasing the population size on the width of the confidence interval?

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