Give a 98% confidence interval, for μ1-μ2 given the following information. n1=20, ¯x1=2.63, s1=0.63 n2=30, ¯x2=2.17, s2=0.6 ± Use Technology Rounded to 2 decimal places.
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Q: Give a 98% confidence interval, for μ1−μ2 given the following information. n1=45 xbar1=2.62,…
A:
Give a 98% confidence interval, for μ1-μ2 given the following information.
n1=20, ¯x1=2.63, s1=0.63
n2=30, ¯x2=2.17, s2=0.6
± Use Technology Rounded to 2 decimal places.
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- You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=4.6s=4.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.75 hours at a 90% level of confidence. What sample size should you gather to achieve a 0.75 hour margin of error? Round your answer up to the nearest whole number. n = bacteriaThe critical chi-square value for 15 degrees of freedom when alpha=.05 and the test is right-tailed is 19.675. True FalseYou are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=4.4s=4.4 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.6 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.6 hour margin of error? Round your answer up to the nearest whole number. n = bacteria
- A random sample of 9 size AA batteries for toys yield a mean of 3.66 hours with standard deviation, 1.05 hours. (a) Find the critical value, t, for a 99% CI. t = (b) Find the margin of error for a 99% CI.A simple random sample from a population with a normal distribution of 108 body temperatures has x= 98.50 F and s 0.62°F. Construct a 98% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. O'FCurrently patrons at the library speak at an average of 64 decibels. Will this average change after the installation of a new computer plug in station? After the plug in station was built, the librarian randomly recorded 69 people speaking at the library. Their average decibel level was 61.7 and their standard deviation was 6. What can be concluded at the α = 0.05 level of significance? H0:H0: ? μ p Select an answer > ≠ < = H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)A random sample of 11 size AA batteries for toys yield a mean of 2.98 hours with standard deviation, 1.19 hours. (a) Find the critical value, t?/2, for a 99% CI. ??/2 = (b) Find the margin of error for a 99% CI.A telephone poll of 841 adult Americans was reported in an issue of Time Magazine. One of the questions asked was, "What is the main problem facing the country?" Forty percent answered, "crime." Construct a 88% confidence interval for the population proportion of Americans who feel that crime is the main problem.p'=α2=zα2=Margin of Error: E=We are 88% confident that the proportion of Americans who feel that crime is the main problem is between____ and ____.Suppose the mean IQ score of people in a certain country is 100. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 104.5 with a standard deviation of 13.6. Complete parts (a) through (d) below. (a) Consider the hypotheses Ho: µ= 100 versus H,: µ> 100. Explain what the director is testing. Perform the test at the a = 0.10 level of significance. Write a conclusion for the test. Explain what the director is testing. Choose the correct answer below. O A. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not equal to 100. OB. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually greater than 100. O C. The director is testing if the sample provided sufficient evidence that the population mean IQ score is actually not greater than 100. O D. The director is testing if the sample provided sufficient…A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.09 years, with sample standard deviation s = 0.83 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.) test statitics= critical=A simple random sample from a population with a normal distribution of 104 body temperatures has x= 98.20°F and s= 0.69°F. Construct a 95% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Click the icon to view the table of Chi-Square critical values. O'FYou are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯x=78x¯=78 hours with a standard deviation of s=5.6s=5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 95% level of confidence. What sample size should you gather to achieve a 0.5 hour margin of error? Round your answer up to the nearest whole number.SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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