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Determine the upper-tail critical value to /2 in each of the following circumstances. a. 1 - a = 0.90, n = 43 d. 1 - a = 0.90, n = 31 b. 1 - a = 0.95, n = 43 e. 1 - a = 0.99, n = 16 c. 1 - a = 0.90, n = 65 a. t= (Round to four decimal places as needed.) b. t= (Round to four decimal places as needed.) c. t= (Round to four decimal places as needed.) d. t= (Round to four decimal places as needed.) e. t= (Round to four decimal places as needed.)A random sample of n measurements was selected from a population with unknown mean u and standard deviation o = 20 for each of the situations in parts a through d. Calculate a 95% confidence interval for u for each of these situations. a. n = 60, x = 31 b. n = 150, x = 111 c. n = 80, x = 13 d. n = 80, x = 4.09 a. (, (Round to two decimal places as needed.) b. ( ,) (Round to two decimal places as needed.) c. ( ) (Round to two decimal places as needed.) d. ( ,) (Round to two decimal places as needed.) e. Since we are given o = 20 we should use the standard normal distribution to get the critical value here. TRUE or FALSE? O True O FalseUse your calculator to nd critical values such that the following statements are true. Your task is to determine the critical values below. a. P(ta,2 Ststa/Z ) =O.95, where df= 11 b. P05 ta) =0.01,where df=5 c. P(ts - (\"2 ortztalz ) =0.10, where df=9 d. P05 ta,2 ortata12)=0.01,where df=18 3 Click the icon to view the table of critical values oft. (Use 3 decimal places in all questions please.) (Use 3 decimal places in questions a-d please.) a. The upper tail critical value t0: ,2 = D. b. The lower tail critical value tm = D. c. The upper tail critical value ta [2 = D. The lower tail critical value tum = D d. The upper tail critical value tam = D. The lower tail critical value tun: |:| Periodically, a town water department tests the the drinking water of homeowners for contaminants such as lead. The lead levels in water specimens collected for a sample of 10 residents of the town had a mean of 2.8 mgIL and a standard deviation of 1.7 mglL. Complete parts a through c. a. Construct a 90% condence interval for the mean lead level in water specimens from the town. (D, D) (Round to three decimal places as needed.) b. Interpret the interval in terms of this application. Choose the correct answer below. 0 A. The water department is condent that 90% of the mean lead level in drinking water for all residents in the town is described by this interval. 0 B. The water department can be 90% condent that the mean lead level in drinking water for all residents in the town is outside this interval. 0 C. The water department can be 90% condent that the mean lead level in drinking water for all residents in the town is within this interval. 0 D. The water department can be 90% condent that the mean lead level in drinking water for all residents in the town is 2.8 mglL. O E. The water department can be 10% condent that the mean lead level in drinking water for all residents in the town is within this interval. c. The phrase "90% condence interval" means that if many intervals were constructed using the same methods and with the same sample size then lI% of these intervals would contain the true value of which of the following choices? Periodically, a town water department tests the the drinking water of homeowners for contaminants such as lead. The lead levels in water specimens collected for a sample of 10 residents of the town had a mean of 2.8 mg/L and a standard deviation of 1.7 mgIL. Complete parts a through c. u described by this interval. I O B. The water department can be 90% condent that the mean lead level in drinking water for all residents in the town is outside this interval. 0 C. The water department can be 90% condent that the mean lead level in drinking water for all residents in the town is within this interval. 0 D. The water department can be 90% condent that the mean lead level in drinking water for all residents in the town is 2.8 mglL. O E. The water department can be 10% condent that the mean lead level in drinking water for all residents in the town is within this interval. 0. The phrase "90% condence interval" means that if many intervals were constructed using the same methods and with the same sample size then |:|% of these intervals would contain the true value of which of the following choices? 0 A. Standard deviation 0 B. Standard error 0 0. Population mean 0 D. Sample mean A manufacturing company produces electric insulators. You dene the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The data shown below represent the amount of force required to break a sample of 30 insulators. Complete parts a through c below. 8 6 8 5 18 18 21 29 25 32 L3 16 29 25 18 27 29 33 33 40 55 5 9 36 42 17 23 27 29 24 29 a. Construct a 99% condence interval for the population mean force. D 5 p5 |:| (Round to two decimal places as needed.) In a survey of 1,050 organizations. 670 responded that "the need for collaboration among an increasing number of locations" is a business driver that led them to implement cloud solutions. Construct a 95% condence interval estimate for the population proportion of organizations that indicated "the need for collaboration among an increasing number of locations" is a business driver that led them to implement cloud solutions. A 95% condence interval estimate for the population proportion is D s n s D. (Round to four decimal places as needed.) According to recent study, 167 of 465 technology CEOs from around the world responded that technological advances will transform their business and 69 responded that resource scarcity and climate change will transform their business. Complete parts (a) through (c) below. a. Construct a 90% condence interval estimate for the population proportion of tech CEOs who indicate technological advances as one of the global trends that will transform their business. DSnsD (Round to four decimal places as needed.)
