Statistics homework quiz Due in 1hr quick response only

1. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.n = 195, x = 162; 95% confidenceSelect one:a. 0.788 < p < 0.873b. 0.789 < p < 0.873c. 0.778 < p < 0.883d. 0.777 < p < 0.8842. Find the value of zα/2 that corresponds to a confidence level of 91%.Select one:a. 1.645b. 1.75c. 1.34d. 1.703. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.98% confidence; the sample size is 800, of which 40% are successes Select one:a. 0.0404b. 0.0339c. 0.0446d. 0.03554. 50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall?Select one:a. 0.24b. 0.18c. 0.50d. 0.765. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.Select one:a. 91.69 < μ < 98.31b. 92.03 < μ < 97.97c. 92.95 < μ < 97.05d. 91.68 < μ < 98.326. Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%;  and  unknownSelect one:a. 2223b. 1116c. 1939d. 21157. Find the appropriate critical value for the following: 99% confidence level ; n = 17; σ is unknown; population appears to be normally distributed.Select one:a. zα/2 = 2.583b. zα/2 = 2.567c. tα/2 = 2.898d. tα/2 = 2.9218. Find the critical value χ2R corresponding to a sample size of 19 and a confidence level of 99 percent if the test it two-tailed.Select one:a. 6.265b. 37.156c. 34.805d. 7.0159. Find the critical value χ 2L corresponding to a sample size of 19 and a confidence level of 99 percent if the test is two-tailed.Select one:a. 6.265b. 34.805c. 7.015d. 37.15610. To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be s = 0.16. Find the 95% confidence interval for the population standard deviation σ.Select one:a. 0.12 < σ < 0.24b. 0.15 < σ < 0.21c. 0.11 < σ < 0.25d. 0.13 < σ < 0.22