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- 2) Parts A B C Darrow_forwardA sociologist plans to conduct a survey to estimate the percentage of healthcare professionals who believe in astrology. How many healthcare professionals must be surveyed if we want a confidence level of 92% and a margin of error of three percentage points? (NOTE: All areas are to four decimal places and all z-scores are to two decimal places except the two special cases at the bottom of the table) Insert the following values from the question: CL = Answer% E = Answer% = Answer What area relates to the confidence level? A = Answer What is the value of α? Answer What is the value of α/2? Answer What area value will you use on the z-score table? Answer What is the zα/2 value associated with that area? Answer Use the appropriate formula to find the number of people that must be tested (round up to a whole number): Answerarrow_forwardSection 6.1 (please help with TI-84 calculator commands when possible) An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.8 years. (b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 8% of the sample mean? within 9% of the sample mean? Explain. A). The minimum sample size required to construct a 90% confidence interval is _________ students. (Round to the nearest whole number) B) The 90% confidence interval is ________ , _________ . It (1) does or does not. Seem likely that the population mean could bed within 8% of the sample mean because 8% off from the…arrow_forward
- Review Example 8.5 and answer the following questions. EXAMPLE 8.5 Problem The average earnings per share (EPS) for 10 industrial stocks randomly selected from those listed on the Dow-Jones Industrial Average was found to be X = 1.85 with a standard deviation of s=0.395. Calculate a 99% confidence interval for the average EPS of all the industrials listed on the DJIA. 8 tra (M) SUSI+W₂ (√) tva I-tv,a a. A confidence interval is a type of estimator. What are we estimating in this example? b. Name each symbol in the confidence interval given and explain the use of the symbol. c Suppose you were conducting a two-tailed hypothesis test: Ho: m = 3.0 at a = .01. What do you conclude?arrow_forwardSection 10.4 Step 1 of 2 : Calculate a confidence interval for the mean sodium content in Oriental Spice Sauce. Round your answers to two decimal places. Step 2 of 2 : Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states?arrow_forwardPart D onlyarrow_forward
- Note: Confidence Interval depends on how much confidence you may have that the sample mean will reflect the population mean or the Population Mean will fall between two scores?Formula:95% Confidence = Score + 1.96 (standard deviation)99% Confidence = Score + 2.56 (standard deviation)Question: if the mean spelling score for a random sample of 100 Sixth graders is 74 and the standard deviation is 6.What confidence can you have in predicting the population mean for the average spelling score for the entire population of third graders? At 95% confidence interval, calculate and interpret/explain. Show all your work:arrow_forwardBased on a random sample of size 50, you observe a sample mean of 143.6 and a sample standard deviation of 38.1. You then calculate a 95% confidence interval for the population mean, and it has length L1. Now suppose that the sample size had instead been 150, but with the same sample mean and the same sample standard deviation. Let L2 be the length of a 95% confidence interval for the population mean based on this larger sample. Which of the following is closest to the ratio L2/L1? a. 0.78 b. 0.57 c. 0.86 d. 0.65arrow_forwardUse the image to answer the following.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill