Question

A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) x = 33, n = 25, C = 6, confidence level = 90% Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table a. Use the one-mean z-interval procedure to find a confidence interval for the mean of the population from which the sample was drawn The confidence interval is from to (Type integers or decimals rounded to one decimal place as needed) b. Obtain the margin of error by taking half the length of the confidence interval What is the length of the confidence interval? (Type an integer or decimal rounded to one decimal place as needed.) c. Obtain the margin of error by using the formula E = z Identify the critical value. za - (Type an integer or decimal rounded to two decimal places as needed) What is the margin of error obtained using the methods of parts (b) and (c)? (Type an integer or decimal rounded to one decimal place as needed.)

Answer 1

fidence interval for mean, M, + zdy liven, 1-L= 90% - x = 10% = onl then, 2 = 1.645 => 33+ 1.645x. => 337 1.974 -> (31.0, 34.9) margin of error = half length - 34.90 31.0 = 1.98

then z = 1.645 margin of error = za = 1.645 x 6 = 1.974