474755032-hw7-central+limit+thm

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Feb 20, 2024

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HW-Sampling methods and central limit theorem Name_ MU LTI PLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Provide an appropriate response. 1) The policy committee at State University has 6 members: John, Prof. Rise, Dr. Hernandez, LaToyna, Ming, and J ose. A subco mmittee of two members mu st be formed to investigate the visitation policy in the dormitories. List all poss ible s im ple random samples of size 2. A) John and Prof. Rise, John and Dr. Hernandez, John and LaToyna, John and Ming, John and J ose B) John and Prof. Rise, Dr. Hernandez and LaToyna, Ming and Jose C) John and Prof. Rise, Prof. Rise and Dr, Hernandez, Dr. Hernandez and LaToyna, LaToyna and Ming, Ming and Jose D) John and Prof. Rise, John and Dr. Hernandez, John and LaToyna, John and Ming, John and Jose, Prof. Rise and Dr. Hernandez, Prof. Rise and LaToyna, Prof. Rise and Ming, Prof, Rise and Jose, Dr. Hernandez and LaToyna, Dr. Hernandez and Ming, Dr. Hernandez and Jose, LaToyna and Ming, LaToyna and Jose, Ming and Jose Determine the sampling technique which is used. 2) Thirty-five math majors, 64 music majors and 35 history majors are randomly selected from 454 math majors, 309 music majors and 567 history majors at the state university. What sampling technique is used? A) random B) cluster C) systematic D) convenience E) stratified 3) 3 ) 3) Every fifth adult entering an airport is checked for extra security screening. What sampling
technique is used? A) stratified B) systematic C) cluster D) convenience E) random 4) At a local technical school, five auto repair classes are randomly selected and all of the students from each class are interviewed. What sampling technique is used? A) stratified B) convenience C) systematic D) random E) cluster 5) Provide an appropriate response. 5) The top 38 cities in Wisconsin as determined by population are given below. Select a random sample of four cities from the list below using the two digit list of random numbers provided. Begin with the uppermost left random number and proceed down each column. When a column is complete, use the numbers at the top of the next right column and proceed down that column. Information was obtained from the web site http ://ww w.citypopulation.de/USA-Wisconsin, html, Wisconsin Cities by Population 1 Milwaukee T0 Eau Claire | 1 7 New Berlin T 25 West Bend 33 Watertown 2 Madison 10 Janesville 18 | W ausau 26 Superior 34 Muskego 3 Green Bay 11 West Allis 19 Greenfield 27 Mount Pleasant 35 De Pere 4 Kenosha 12 La Cr os se 20 Beloit 28 Neerah 36 Fitchburg S Racine 13 Sheboygan21 Manitowoc 29 Stevens Point 37 South Milwaukee 6 Appleton 14 Wauwatosa 22 M enomonee Falls 30 Caledonia 38 Grand Chute 7 Waukesha 15 Fond du Lac 23 Franklin 31 Sun Prairie 8 Oshkosh 16 Brookfield 24 Oak Creek 32 Mequon 11 21 12 23 49 43 30 12 30 Random Numbers 6 - ** 19 15 4 31 2 24 20 32 38 43 29 18 28 3 A) Manitowoc, La Crosse, Franklin, Oshkosh, B) Milwaukee, Eau Claire, New Berlin,
West Bend. C) Milwaukee, Madison, Green Bay, Kenosha. D) Manitowoc, Appleton, Greenfield, Fond du Lac. 6) 6) The amount of money collected by a snack bar at a large university has been recorded daily for the past five years. Records indicate that the mean daily amount collected is $1950 and the standard deviation is $500. The distribution is skewed to the right due to several hig h volume days (including football game days). Suppose that 100 days were randomly selected from the five years and the average am ount collected from thos e days was recorded , Which of the following describes the sampling distribution of the sample mean? A) normally distributed with a mean of $1950 and a standard deviation of $50 B) normally distributed with a mean of $1950 and a standard deviation of $500 C) skewed to the right with a mean of $1950 and a standard deviation of $500 D) normally distributed with a mean of $195 and a standard deviation of $50 7 ) 7) The amount of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean of 12.5 ounces and a standard deviation of 0.1 ounce. Suppose 400 bags of chips were randomly selected from this dispensing machine. Find the probability that the sample mean we igh t of these 400 bags exceeded 12.6 ounces. A) 0.6915 B) approximately 0 C) 0.3085 D) 0.1915 8) 8) The owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard de vi atio n $1200, The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 days will exceed $7500?
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A) 0.0853 B) 0.9131 C) 0.9147 D) 0.0869 9 ) _ 9) Professor Whata Guy sur v eyed a random sample of 420 statistics students. One of the questions was "Will you take another mathematics clas s ?" The results showed that 252 of the students said y e s. What is the sample proportion, p of students who say they will take another math class? A) 0.252 B) 0.6 C) 0.42 D) 0. 77 5 1 0 ) - 10) A national caterer determined that 87% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer's f ood. Will the distribution of p, the sample proportion saying that the food is delicious, be approximately normal? Answer Yes or No. A) Yes B) No 11 ) 11) A simple random sample of size n=1460 is obtained from a population whose
size is N=1,400,000 and whose population proportion with a specified characteristic is p =0:57. Describe the sampling distribution of p. A) Approximately normal; Mp = 0.57, Op = 0.1323 B) Exactly normal; pp = 0.57, op = 0.013 C) Exactly normal; Mp=0.57, Op = 0.1323 D) Approximately normal; Mp = 0.57, Op=0.013 12) Smith is a weld inspector at a shipyard, He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find less than 20 substandard welds? A) 0.5934 B) 0.4066 C) 0.0934 D) 0.9066 Answer Key Testname: ITUNES HW-CLT AND SAMPLING 11) D 12) D