The formula used to calculate a confidence interval for the mean of a normal population when n is small is the following.xt (t critical value)√nWhat is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)USE SALT(a) 98% confidence, n = 17(b) 90% confidence, n = 12(c) 98% confidence, n = 24(d) 90% confidence, n = 25(e) 80% confidence, n = 13(f) 95% confidence, n = 10

Find critical values for the following confidence level

Answered: The formula used to calculate a…

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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Solve the last part
X is a normally distributed variable with mean = 67 and standard deviation = 9 %3D What value of X separates the upper 17.36% of scores from those below X?
Using R Here we will investigate the “confidence level” of each of the confidence intervals:percentile, normal, basic, and BCa. The confidence level of a confidence interval is the longrun proportion that the interval contains the parameter. So, if we took 100 samples andcomputed a 95% CI that estimates the population mean mu, the intervals should contain it95% (95 out of 100) of the time.1(a). Simulate samples X of size n=10 from an exponential distribution with rate =1/50. Run a bootstrap procedure to estimate the median. Compute the 4 CI’s mentionedabove. Repeat this 1,000 times and estimate the confidence level of each type of confidenceinterval.1(b). Are the confidence intervals below or above the confidence level of .95? Whydo you think this is? Explain.1(c). Repeat this for samples of size n=50.1(d). Did the confidence level of the intervals change with the sample size? Are theconfidence intervals below or above the confidence level of .95? Why do you think this…
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 100, with a sample size of (i) 400 and (ii) 1600. What is the effect of the sample size? (i) Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 100 with a sample size of 400. 9.83 (Round to two decimal places as needed.) (ii) Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 100 with a sample size of 1600. (Round to two decimal places as needed.)
Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 4% of the cases. Consider a random sample of 2400 people who have stopped using the painkiller. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people in the sample who experience withdrawal symptoms. (b) Find the standard deviation of (c) Compute an approximation for P(p <0.05), which is the probability that fewer than 5% of those sampled experience withdrawal symptoms. Round your answer to four decimal places.
(I'm having a hard time solving for the data, can you please help? The first photo is the given values, and the second the equation for the solution.) Identify the following to calculate the test statistic and will input the given to the following formula: The sample mean (x̄) The population mean (μ) The sample standard deviation (s) Number of observations (n)
Why should a confidence interval for p fall between (0, 1) while it makes sense for a confidence interval for Pi - p2 to fall between (-1, 1)?
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t
(b): Your answer is wrong. Assume that the population lengths of adult male killer whales follow approximately a normal distribution. A recent article published in the journal Zoology Now states that the mean of this population is6.99 m. You want to test the claim in the article, so you select a random sample of 10adult male killer whales and record the lengths of each. Follow these steps to construct a confidence interval for the90%for the population mean of all lengths of adult male killer whales. Then, indicate whether the confidence interval that you construct contradicts the article's statement. (If necessary, you can refer to a list of formulas .) (to) Click "Take Sample" to see the results of your random sample. Take a sample Sample size: 10 number of killer whales Point estimate: 7241 10 sample mean 7,241 sample standard Enter the values for the sample size, point estimate of the mean, sample standard deviation, and critical value that you need to construct the confidence…
The average expenditure per student for a certain school year was $10,550 with a population standard deviation of $1600. A survey for the next school year of 100 randomly selected students resulted in a sample mean of $11000. Do these results indicate that the average expenditure has changed? use α = 0.01 a/ state the hypothesis b/ find the critical value(s) c/ find the test value d/ make a decision e/ write the summary
Suppose that the distribution of scores on an exam can be described by a normal curve with mean 110. The 16th percentile of this distribution is 80. (Use the Empirical Rule.) (a) What is the 84th percentile? (b) What is the approximate value of the standard deviation of exam scores? (c) What z score is associated with an exam score of 125? (d) What percentile corresponds to an exam score of 170? (e) Do you think there were many scores below 20? Explain. A score of 20 is? standard deviations below the mean, and so the percentage of scores below 20 would be approximately ... how many percentage
Use the sample information x⎯⎯x¯ = 42, σ = 7, n = 16 to calculate the following confidence intervals for μ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) (b) 95 percent confidence. (Round your answers to 4 decimal places.) (c) 99 percent confidence. (Round your answers to 4 decimal places.) (d) Describe how the intervals change as you increase the confidence level.multiple choice The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.

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