In order to determine the percentage p of units from certain statistical population which share acertain characteristic C, what is the size n of a sample that will ensure a 90% confidence intervalfor p with a margin of error of at most +/-1%?An estimation using the standard error formula (from the confidence interval for population proportions) gives the minimum size n of a sample to ensure such a confdencelevel and error margin in estimating p as[N]

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Answered: In order to determine the percentage p…

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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What critical value t* from Table C should be used for a confidence interval for the mean of the population in each of the following situations? a) An 80% confidence interval based on n=9. b) A 99% confidence interval from an SRS of 12 observations. c) An 80% confidence interval from a sample size of 31 observations.
Suppose that the typing speed for secretaries are normally distributed with an unknown mean and standard deviation. A random sample of 26 secretaries is taken and gives a sample mean of 54 words per minute and a sample standard deviation of 5 words per minute. The ME, margin of error, for a 98% confidence interval estimate for the population mean using the Student's t-distribution is 2.44. Find a 98% confidence interval estimate for the population mean using the Student's t-distribution · Round the final answers to two decimal places. Provide your answer below: 98% of the x-values lie between | | and 11
A researcher collected sample data for 10 women ages 18 to 24. The sample had a mean serum cholesterol level (measured in mg/mL) of 188.4, with a standard deviation of 7. Assuming that serum cholesterol levels for women ages 18 to 24 are normally distributed, find a 90% confidence interval for the serum cholesterol level of all women in this age group. Then find the lower limit and upper limit of the 90% confidence interval. Carry intermediate computations to at least 3 decimal places. Round answer to one decimal place.
The mean height for a sample of n = 81 women is x = 63.5 inches, and the standard deviation is s = 3.6 inches. Find the standard error of the mean (in inches). in Find an approximate 95% confidence interval for the population mean (in inches), using the approximation that is appropriate for large samples. to in
A confidence interval is desired for the true mean stray-load loss (Watts) for a certain type of induction motor. Assume that the stray-load loss is normally distributed with =3.3Watts. You take 25 measurements of stray-load loss from induction motors and determine that the mean of your sample is 53.6 Watts. Given the information in this first situation, what equation for the interval estimate endpoints will you need to use for this problem? Also, why did you choose that equation? (In other words, what assumptions can you make?) Compute a 95% confidence interval for this situation.
What is tα/2,df for a 95% confidence interval of the population mean based on a sample of 15 observations?
A simple random sample of size n=18 is drawn from a population that is normally distributed. The sample mean is found to be x=62 and the sample standard deviation is found to be s=19 Construct a 90% confidence interval about the population mean.
A random sample is drawn from a population of known standard deviation o = 22.1. Construct a 95% confidence interval for the population mean if: (a) n = 121, x = 82.4, s = 21.9 (b) n = 81, x = 82.4, s = 21.9 (c) How many samples would you need to get a 95% confidence interval of width 2?
A sample size of 85 from the population Having standard deviation o=45 produced a mean of 254.00. The 95% confidence interval for the population mean (round to two decimal places)is
A random sample of 50 waiting times (in minutes) at a pharmacy has mean x̅= 6.75. The population standard deviation is σ= 1.3. a) Find a 98% confidence interval for the population mean μ of all waiting times. b) What sample size n is needed to construct a 90% confidence interval for μ of width w =0.4?
Use Table B to find the critical value t* that should be used in constructing a 90% confidence interval based on a simple random sample of size n = 99 for the population mean. Assume the conditions are met. options t* = 1.664 t* = 1.645 t* = 2.081 None of these is correct.
It takes a Christmas tree about 20 years to grow from seed to a size ready for cutting. We want to estimate the average height µ of a5-year Christmas tree which has been grown from a seed. Assume that the height of a 5-year tree is normally distributed. A sample of 20 trees has a mean height 25 second sample (of at least 50 trees), which has a mean height 27 construct a confidence interval for u using the same confidence level as for the first interval. This new interval has length 2 of the second sample? cm and a sample standard deviation 4 cm. This sample produces a confidence interval for u of length 2.673. We select a cm and a sample standard deviation 5 cm. Based on this second sample, we What was the size

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