9 d. 9.Find the following confidence interval critical values. Use the exact value off the table foryour answer, SHOW WORK.a. Za/2for a 74% confidence interval when n = 33.b. ta/2 for an 98% confidence interval when n = 11.c. Xight only for a 99% confidence interval when n = 18.d. X only for a 95% confidence interval when n = 79.

Formula Used: The critical value for Z-test: The critical value for the t-test:

Answered: 9. Find the following confidence…

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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Suppose that you intend to find a 95% confidence interval for a population mean by applying the one-mean z-interval procedure to a sample of size 100. a. What would happen to the accuracy of the estimate if you used a sample of size 50 instead but kept the same confidence level of 0.95?b. What would happen to the accuracy of the estimate if you changed the confidence level to 0.90 but kept the same sample size of 100?
Develop a 95% confidence interval for the population slope if the followingregression information are given: b1= 41.7, p-value = 0.02, and n = 35.
Based on your confidence interval from the previous problem, can you conclude that the mean permeability coefficient at 60∘60∘C differs from that at 61∘61∘C at the 0.05 level of significance? A. Yes, because the 95% confidence interval includes 0 B. No, because the 95% confidence interval includes 0 C. Yes, because the 95% confidence interval does not include 0 D. No, because the 95% confidence interval does not include 0 E. It is impossible answer this question only using the 95% confidence interval.
For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval. 3. A bottle filling machine is operating with a standard deviation of 0.12 ounces. Suppose that in a simple random sample of 36 bottles the machine inserted an average of 16.1 ounces into each bottle. FInd a 90% confidence interval to estimate the mean number of ounces in all the bottles this machine fills.
Given a sample size of 400 with a mean of 80 and the population standard deviation is found to be 35 having a 96% confidence level. What is the length of the confidence interval?show the solutions.
The director of the rabies control section in a city health department wishes to draw a sample from the department's records of dog bites reported during the past year in order to estimate the mean age of persons bitten. He wants a 95 percent confidence interval, he will be satisfied to let E = 2.5, and from previous studies he estimates the population standard deviation to be about 15 years. How large a sample should be drawn?
To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples. a) The mean difference in weight loss between people on two different diets. b) The mean difference in weight before and after eight weeks on a certain diet. c) The mean difference in standardized test scores between the first and second attempt at the test. d) The mean difference in test scores between students taught by different methods
6. Suppose the population standard deviation for IQ scores is 15 points. What sample size would be required to ensure that the width of your 95% confidence interval for the mean IQ score would have a width of no more than 4 points?
If we want a 96% confidence interval on population mean with a sample size of 23, find zα2 or tα2
Ellie and Alec are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40. Ellie and Alec each use their sample data to construct a confidence interval. Ellie’s interval is from 0.286 to 0.514, and Alec’s interval is from 0.346 to 0.474. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? A. Ellie’s interval must be incorrect. B. Alec’s interval must be incorrect. C. It’s impossible to answer this question without knowing the level of confidence used for each interval. D. It’s impossible to answer this question without knowing the sample sizes. E. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.
Which of the following would result in the widest confidence interval?a) A sample size of 100 with 90% confidence b) A sample size of 30 with 95% confidence. c) A sample size of 100 with 95% confidence d) A sample size of 100 with 99% confidence. e) A sample size of 30 with 90% confidence. f) A sample size of 30 with 99% confidence.
find the t/α2 value for a 98% confidence interval for the mean when the sample size is 39. t/α2=

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