The formula used to calculate a large-sample confidence interval for p is p(1-P) n p ± (z critical value) USE SALT What is the appropriate z critical value for each of the following confidence levels? (Round your answers to two decimal places.) (a) 95%
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- Use the sample information x with a line on top=41, o=4, n=20 to calculate the following confidence intervals for u assuming the sample is from a normal population. a. 90% confidence ____to____ b. 95% confidence ____to____ c. 99% confidence ____to____Question Help is 7.2.6-T Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2. (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distrībution applies. ne 40- 30- The confidence level is 95%, o is not known, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 0- 4000 8000 12000 16000 20000 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= (Round to two decimal places as needed.) O B. Za12= (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. louenbelAges of students: A simple random sample of 110 U.S. college students had a mean age of 23.05 years. Assume the population standard deviation is o =4.81 years. Construct a 90% confidence interval for the mean age of U.S. college students. Round the answers to two decimal places. A 90% confidence interval for the mean age of U.S. college students is 22.46 T< u <23.64
- A survey of 50 young professionals found that they spent an average of $24.15w hen dining out, with a standard deviation of $12.06. Can you conclude statistically that the population mean is greater than $27? Use a 95% confidence interval is. The 95% confidence interval is _____ , _______As $27 is__________ of the confidence interval, we________ , conclude that the population mean is greater than $27. (Use ascending order. Round to four decimal places as needed.)Use the sample information x¯x¯ = 35, 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.) The 90% Confidence Interval is from ____to ____ (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% Confidence Interval is from ____to ____ (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% Confidence Interval is from ____ to ____A sample mean, sample size, population standard deviation, and confidence level are provided. Use this information to complete parts (a) through (c) below. x=35, n=27, σ=5 confidence level=90% 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=zα2•σn. Identify the critical value. zα2=____________ (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…
- What critical value t* from Table C would you use for a confidence interval for the mean of the population in each of the following situations? (If you have access to software, you can use software to determine the critical values. Round your answers to three decimal places.) (a) A 95% confidence interval based on n = 18 observations.n a sample of 150 Planter’s Mixed Nuts, 15 were found to be almonds. (a) Construct a 95 percent confidence interval for the true proportion of almonds. (Use a z-value taken to three decimal places in your calculations. Round your answers to 3 decimal places.) The 95% confidence interval is from _________ to ________ . (b) May normality be assumed? Yes No (c) What sample size would be needed for 95 percent confidence and an error of ±0.03? Sample size _________What is the critical t* needed to construct a 90% confidence interval for a population mean when n = 20? What is the critical t* needed to construct a 90% confidence interval for a population mean when n = 20? D. 1.725 A. 1.328 B. 1.325 C. 1.729
- When computing a confidence interval for the population mean µ when the population SD a is known, what value of z* should be used for an 85% confidence interval? (The formula for the confidence interval is shown in the figure) (a) 1.26 (b) 1.96 (c) 1.44 (d) 1.84 (e) 1.64In terms of z scores, a 99% confidence interval consists of which of the following ranges? 1. ±1 z 2. ±1.96 z 3. ±2.05 z 4. ±2.56 z