Samples of DNA are collected, and the four DNA bases of A, G, C, and T are coded as 1, 2, 3, and 4, respectively. The results are listed below. Construct a 99% confidence interval estimate of themean. What is the practical use of the confidence interval?2, 2, 1, 3, 4, 3, 4, 3, 3, 1What is the confidence interval for the population mean µ?<με (Round to one decimal place as needed.)

To construct a 99% confidence interval for the population mean (μ) based on the given data, follow…

Answered: Samples of DNA are collected, and the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A simple random sample of IQ scores is selected from a normally distributed population of statistics professors. The sample statistics are n=17,x=126, s=12. Determine the critical value of t and the margin of error, and then construct the 95% confidence interval estimate for the population mean.
A physicist examines 4 seawater samples for lead concentration. The mean lead concentration for the sample data is 0.890 cc/cubic meter with a standard deviation of 0.0312. Determine the 80 % confidence interval for the population mean lead concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 43.9 s = 5.3 n = 15 α = 0.05 H0: µ = 32.6 H1: µ ≠ 32.6 The test statistics is (Round to three decimal places)NOTE: QUESTIONS 9-11 ARE RELATED)
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=167, x=28.2 hg, s=6.2 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. tα/2= nothing (Round to two decimal places as needed.) B. zα/2= nothing (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
Ages of students: A simple random sample of 110 U.S. college students had a mean age of 23.05 years. Assume the population standard deviation is o =4.81 years. Construct a 90% confidence interval for the mean age of U.S. college students. Round the answers to two decimal places. A 90% confidence interval for the mean age of U.S. college students is 22.46 T< u <23.64
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value ta/2. (b) find the critical value za/2. or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=D156, x 29.3 hg, s = 7.7 hg. The confidence level is 90%.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=236, x=31.6 hg, s=6.9 hg. The confidence level is 90%.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2, (b) find the critical value z,/2, or (c) state that neither the normal distribution nor the t distribution applies. 230, x 32.6 hg, s = 7.9 hg. The confidence level is 90% Here are summary statistics for randomly selected weights of newborn girls: n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Round to two decimal places as needed.) В. Za/2 (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
Review the work below for calculating a confidence interval for a sample mean. Redo the work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example of a population mean that would fit into the confidence interval. Offer an example of a population mean that would be outside of the confidence interval.
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.t Suppose a small group of 20 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with o = 0.32 gram. (a) Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O normal distribution of weights Oo is known O n is large O o is unknown O uniform distribution of weights (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20. O we are 80% confident that the true average weight of Allen's hummingbirds falls…
Find the critical value to for the confidence level c = 0.99 and sample size n = 9. tc= Click the icon to view the t-distribution table. (Round to the nearest thousandth as needed.)
Which distribution do you use to find critical values for confidence intervals (n = 20) for a variancewhen the population standard deviation sigma is unknown?

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