2) Suppose that x has a normal distribution with σ = 3.a) Find the minimal sample size required so that for a 90% confidence interval, the maximal margin of error is E = 0.5._________________________b) Based on the sample size and the x distribution, can we assume that the x̄ distribution is approximately normal? Explain._________________________(Note: The image contains text with questions related to statistical concepts of sample size, confidence intervals, and normal distribution assumptions. There are no graphs or diagrams present.)

Answered: 2) Suppose that x has a normal…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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can you answer 26a and b
The numbers of successes and the sample sizes for independent simple random samples from two populations are provided for a right-tailed test. Use a 90% confidence interval. Complete parts (a) through (d). X1 = 23, n, = 90, x2 = 18, n2 = 100, a = 0.05 Click here to view Click here to view table of areas under the standard normal curve for negative values of z. table of areas under the standard normal curve for positive values of z. a. Determine the sample proportions. Determine the sample proportion p P, = (Round to three decimal places as needed.)
A point estimate consists of a single sample that is used to estimate the true population parameter. is a method of using samples to estimate population parameters.
Suppose the retirement age in the U.S. is normally distributed with an unknown population mean and standard deviation. A random sample of 22 retirees is taken and results in a sample mean of 59 years old and sample standard deviation of 5 years.The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 2.22. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution. Round the final answers to two decimal places
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Assume that we want to construct a confidence interval. Which letter is correct? The confidence level is 99%, σ=3624 thousand dollars, and the histogram of 60 player salaries (in thousands of dollars) of footbal players on a team is as shown. a) find the critical value tα/2 b) find the critical value zα/2 c) neither the normal distribution nor the t distribution applies.
Estimate the minimum sample size needed to achieve the margin of error E= 0.026 for a 95% confidence interval.
A 95% confidence interval for the population mean is 18 < mu < 24. What is the sample mean?
Select all of the assumptions that you need to make when creating a confidence interval on the difference between means. At least 2% of the population sampled Independently sampled values Homogeneity of variance Normally distributed populations?
Estimate the minimum sample size needed to achieve the margin of error E=0.013 for a 95% confidence interval.
The sample mean for the fill weighs of 100 boxes is x = 12.05. The population variance of the fill weighs is known to be 0.100. Find a 95% confidence interval for the population mean u fill weighs of the boxes. Use z = 1.96 12.03, 12.70 -12.30, 12.70 -12.03, 12.07 O 12.30, 12.07 12.03, 12.07
Use the order statistics approach to estimate a 90% confidence interval of 95.1% VaR for a sample size of n = 1000 observations drawn from a normal distribution with zero mean and variance one.

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