1)The population proportion and sample proportion always has the same value. Tru
ID: 3180162 • Letter: 1
Question
1)The population proportion and sample proportion always has the same value. True or false? A. False B. True2)Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with a mean equal to 100 and a standard deviation equal to 15. Explain your reasoning. (a) P(90sample mean110) for a random sample of size n = 10 (b) P(90sample mean110) for a random sample of size n = 20 A. P(90sample mean110) for a random sample of size n = 20 has a higher probability. As n increases, the standard deviation increases. B. P(90sample mean110) for a random sample of size n = 10 has a higher probability. As n increases, the standard deviation decreases. C. P(90sample mean110) for a random sample of size n = 10 has a higher probability. As n increases, the standard deviation increases. D. P(90sample mean110) for a random sample of size n = 20 has a higher probability. As n increases, the standard deviation decreases.
3)The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 4.5. Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfers exceeded 62. A. .0228 B. .3707 C. .4772 D. .1293
4)It has been reported that 40% of U.S. Workers employed as purchasing managers are females. In a simple random sample of U.S. Purchasing managers, 70 out of the 200 are females. Given this information, what is the population proportion,? A. 0.70 B. 0.40 C. 0.14 D. 0.35
5)Referring to the information in question 4, what is the sample proportion, p? A. 0.14 B. 0.35 C. 0.70 D. 0.40
6)Referring to the information in question 4, what is the standard error of the sample proportion? A. 0.09 B. 0.14 C. 0.35 D. 0.035
7)Referring to the information in question 4, what is the probability that a sample of this size would result in a sample proportion at least as large as that found in question 5? A. 0.9236 B. 0.0764 C. 0.1430 D. 0.0350
8)The tensile strength of spot welds produced by a robot welder is normally distributed, with a mean of 10,000 pounds per square inch and a standard deviation of 800 pounds per square inch. For a simple random sample of n = 4 welds, what is the probability that the sample mean will be at least 10,200 pounds per square inch? A. 0.6915 B. 0.4013 C. 0.2500 D. 0.3085
9)Referring to the information in question 8, what is the probability that the sample mean will be less than 9900 pounds per square inch? A. 0.4013 B. 0.6915 C. 0.3085 D. 0.2500
10)A civic organization includes 200 members, who have an average income of $58,000, with a standard deviation of $10,000. A simple random sample of n = 30 members is selected to participate in the annual fund-raising drive. What is the probability that the average income of the fund-raising group will be at least $60,000? A. 0.1357 B. 0.1170 C. 0.8643 D. 0.8830
11)The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn. True or false? A. False B. True
12)The standard error is: A. is the same for distributions of all sample sizes. B. the same value as the population standard deviation. C. the squared value of the population variance. D. is the mean of the sampling distribution E. the standard deviation of the sampling distribution.
13)Historically, a company that mails its monthly catalog to potential customers receives orders from 8 percent of the addresses. If 500 addresses are selected randomly from the last mailing, what is the probability that between 35 and 50 orders were received from this sample? (Round the standard error to four decimal units) A. 0.7472 B. 0.0496 C. 0.2049 D. 0.7951 E. 0.9504
1)The population proportion and sample proportion always has the same value. True or false? A. False B. True
2)Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with a mean equal to 100 and a standard deviation equal to 15. Explain your reasoning. (a) P(90sample mean110) for a random sample of size n = 10 (b) P(90sample mean110) for a random sample of size n = 20 A. P(90sample mean110) for a random sample of size n = 20 has a higher probability. As n increases, the standard deviation increases. B. P(90sample mean110) for a random sample of size n = 10 has a higher probability. As n increases, the standard deviation decreases. C. P(90sample mean110) for a random sample of size n = 10 has a higher probability. As n increases, the standard deviation increases. D. P(90sample mean110) for a random sample of size n = 20 has a higher probability. As n increases, the standard deviation decreases.
3)The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 4.5. Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfers exceeded 62. A. .0228 B. .3707 C. .4772 D. .1293
4)It has been reported that 40% of U.S. Workers employed as purchasing managers are females. In a simple random sample of U.S. Purchasing managers, 70 out of the 200 are females. Given this information, what is the population proportion,? A. 0.70 B. 0.40 C. 0.14 D. 0.35
5)Referring to the information in question 4, what is the sample proportion, p? A. 0.14 B. 0.35 C. 0.70 D. 0.40
6)Referring to the information in question 4, what is the standard error of the sample proportion? A. 0.09 B. 0.14 C. 0.35 D. 0.035
7)Referring to the information in question 4, what is the probability that a sample of this size would result in a sample proportion at least as large as that found in question 5? A. 0.9236 B. 0.0764 C. 0.1430 D. 0.0350
8)The tensile strength of spot welds produced by a robot welder is normally distributed, with a mean of 10,000 pounds per square inch and a standard deviation of 800 pounds per square inch. For a simple random sample of n = 4 welds, what is the probability that the sample mean will be at least 10,200 pounds per square inch? A. 0.6915 B. 0.4013 C. 0.2500 D. 0.3085
9)Referring to the information in question 8, what is the probability that the sample mean will be less than 9900 pounds per square inch? A. 0.4013 B. 0.6915 C. 0.3085 D. 0.2500
10)A civic organization includes 200 members, who have an average income of $58,000, with a standard deviation of $10,000. A simple random sample of n = 30 members is selected to participate in the annual fund-raising drive. What is the probability that the average income of the fund-raising group will be at least $60,000? A. 0.1357 B. 0.1170 C. 0.8643 D. 0.8830
11)The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn. True or false? A. False B. True
12)The standard error is: A. is the same for distributions of all sample sizes. B. the same value as the population standard deviation. C. the squared value of the population variance. D. is the mean of the sampling distribution E. the standard deviation of the sampling distribution.
13)Historically, a company that mails its monthly catalog to potential customers receives orders from 8 percent of the addresses. If 500 addresses are selected randomly from the last mailing, what is the probability that between 35 and 50 orders were received from this sample? (Round the standard error to four decimal units) A. 0.7472 B. 0.0496 C. 0.2049 D. 0.7951 E. 0.9504
1)The population proportion and sample proportion always has the same value. True or false? A. False B. True
2)Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally distributed with a mean equal to 100 and a standard deviation equal to 15. Explain your reasoning. (a) P(90sample mean110) for a random sample of size n = 10 (b) P(90sample mean110) for a random sample of size n = 20 A. P(90sample mean110) for a random sample of size n = 20 has a higher probability. As n increases, the standard deviation increases. B. P(90sample mean110) for a random sample of size n = 10 has a higher probability. As n increases, the standard deviation decreases. C. P(90sample mean110) for a random sample of size n = 10 has a higher probability. As n increases, the standard deviation increases. D. P(90sample mean110) for a random sample of size n = 20 has a higher probability. As n increases, the standard deviation decreases.
3)The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 4.5. Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfers exceeded 62. A. .0228 B. .3707 C. .4772 D. .1293
4)It has been reported that 40% of U.S. Workers employed as purchasing managers are females. In a simple random sample of U.S. Purchasing managers, 70 out of the 200 are females. Given this information, what is the population proportion,? A. 0.70 B. 0.40 C. 0.14 D. 0.35
5)Referring to the information in question 4, what is the sample proportion, p? A. 0.14 B. 0.35 C. 0.70 D. 0.40
6)Referring to the information in question 4, what is the standard error of the sample proportion? A. 0.09 B. 0.14 C. 0.35 D. 0.035
7)Referring to the information in question 4, what is the probability that a sample of this size would result in a sample proportion at least as large as that found in question 5? A. 0.9236 B. 0.0764 C. 0.1430 D. 0.0350
8)The tensile strength of spot welds produced by a robot welder is normally distributed, with a mean of 10,000 pounds per square inch and a standard deviation of 800 pounds per square inch. For a simple random sample of n = 4 welds, what is the probability that the sample mean will be at least 10,200 pounds per square inch? A. 0.6915 B. 0.4013 C. 0.2500 D. 0.3085
9)Referring to the information in question 8, what is the probability that the sample mean will be less than 9900 pounds per square inch? A. 0.4013 B. 0.6915 C. 0.3085 D. 0.2500
10)A civic organization includes 200 members, who have an average income of $58,000, with a standard deviation of $10,000. A simple random sample of n = 30 members is selected to participate in the annual fund-raising drive. What is the probability that the average income of the fund-raising group will be at least $60,000? A. 0.1357 B. 0.1170 C. 0.8643 D. 0.8830
11)The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn. True or false? A. False B. True
12)The standard error is: A. is the same for distributions of all sample sizes. B. the same value as the population standard deviation. C. the squared value of the population variance. D. is the mean of the sampling distribution E. the standard deviation of the sampling distribution.
13)Historically, a company that mails its monthly catalog to potential customers receives orders from 8 percent of the addresses. If 500 addresses are selected randomly from the last mailing, what is the probability that between 35 and 50 orders were received from this sample? (Round the standard error to four decimal units) A. 0.7472 B. 0.0496 C. 0.2049 D. 0.7951 E. 0.9504
Explanation / Answer
1) False, the sample proportion may or may not equal the population proportion
3) A. 0.0228
In this question we have
Xbar ~ Normal( = 61 , ² = 20.25 / 81 )
Xbar ~ Normal( = 61 , ² = 0.25 )
Xbar ~ Normal( = 61 , = 4.5 / sqrt( 81 ) )
Xbar ~ Normal( = 61 , = 0.5 )
Find P( Xbar > 62 )
P( ( Xbar - ) / > ( 62 - 61 ) / 0.5 )
= P( Z > 2 )
= P( Z < -2 )
= 0.02275013
4) B 0.40 is population proportion
5) B 0.35 is sample proportion 70/200 = 0.35
6) D 0.035 formula used SEp= sqrt [ p ( 1 - p) / n]
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