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 = = 3An 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 = .05Based 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 90.16
- 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 - ♥An agriculture publication claims that the population mean of the birth weights for all Suffolk sheep is 4.29 kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Suffolk sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Suffolk sheep is 2.15 kg. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the birth weights for all Suffolk sheep. Then state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 35 Suffolk sheep. Take Sample Number of sheep 35 Sample mean 5.52 deviation Sample standard Population standard deviation 1.78 2.15 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value…Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)
