The required sample size for the interval estimation of the population mean can be computed if we specify the population standard deviation σ, the value of za/2 based on the confidence level 100(1 - a)% and the desired margin of error E. True or False
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- The administration at a college wishes to estimate, the proportion of all its entering freshmen who graduate within four years, with 95% confidence. Estimate the minimum size sample required. Assume that the population standard deviation is σ = 0.25 and precision level is 0.03.The weights of a random sample of cereal boxes that are supposed to weigh 1 pound are given below. Estimate the standard deviation of the entire population with 92.8% confidence. 0.95 1.01 0.97 0.95 1.04 0.98 1.02 1.03 LCL = UCL =In a sample of 103 bags of dog food, the average weight was found to be 21.5lb with a standard deviation of 0.5. Give a point estimate for the population variance of the weight of the bags of dog food. Round your answer to two decimal places, if necessary.
- Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri, at rush hour by standing on the corner of I-70 and I-470 and counting SUVs. You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence. Appendix A Statistical Tables (Round your answer up to the nearest integer.) Sample enter a number of cars rounded to the nearest integerA random sample of 49 lunch customers was selected at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 33 minutes. From past experience, it is known that the population standard deviation equals 10 minutes. Compute the standard error of the mean. 15 1.428 10 5 Sample: n= Mean= s= GraphWhat is the Mean Absolute Deviation (MAD), when using the weighted 4-period moving average technique? Use weights of 0.6, 0.2, 0.1, and 0.1 for the most recent period, the second most recent period, the third most recent period, and the fourth most recent period, respectively. Group of answer choices 5445 1256 -1555 4450 1140
- Consider the following results for two independent random samples taken from two populations. What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). Sample 1 Sample 2 n2 = = 35 n₁ = 50 13.2 2 1 = 01 = 2.2 = 11.1 σ2 = = 3Records pertaining to the monthly number of job-related injuries at an underground coal mine were being studied by a government agency. The values for the past 100 months were as follows: Injuries Frequency of per Month Occurrence 32 40 2 15 3 4 1. 1. Apply the chi-square test to these data to test the hypothesis that the underlying distribution is Poisson. Important note: In the answer box below, just put the numerical test statistic value. Use x.xx format for the numerical value you provide as the answer. Do NOT compare the test statistic with the critical value from a table. Answer:An industrial process that makes 3-foot sections of plasticpipe produces pipe with an average inside diameter of 1 inch and a standard deviation of .05 inch.a. If you randomly select one piece of pipe, what is the probability that its inside diameter willexceed 1.02 inches, assuming the population is normal?b. If you select a random sample of 25 pieces of pipe, what is the probability that the sample meanwill exceed 1.02 inches?μ = 1.00, σ = .05
- Based on a random sample of size 75, you observe a sample mean of 85.63 and a sample standard deviation of 19.71. Which of the following are the endpoints of a 90% confidence interval for the population mean? (Because of potential roundoff, choose the closest.) a. 82.69 to 88.57 b. 81.84 to 89.42 c. 79.61 to 91.65 d. 81.10 to 90.16A simple random sample is a sample drawn in such a way that each member of the population has: some chance of being selected in the sample. an equal chance of being included in the sample. a 1% chance of being included in the sample.According to Reader's Digest, 47% of primary care doctors think their patients receive unnecessary medical care. Use z-table. a. Suppose a sample of 310 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(F) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion. Round your answer to four decimals. c. What is the probability that the sample proportion will be within 0.05 of the population proportion. Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer - This is because the increase in the sample size makes the standard error, Op . - Select your answer - ♥
