# Multiple Choice

# Multiple Choice

51. Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 85 and 95 is _______.

a) 0.1056

b) 0.3944

c) 0.7888

d) 0.2112

e) 0.5000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

52. Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 80 and 100 is _______.

a) 0.9876

b) 0.0124

c) 0.4938

d) 0.0062

e) 1.0000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

53. Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean of more than 404.5 is _______.

a) 0.0139

b) 0.4861

c) 0.4878

d) 0.0122

e) 0.5000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

54. Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean between 395.5 and 404.5 is _______.

a) 0.9756

b) 0.0244

c) 0.0278

d) 0.9722

e) 1.0000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

55. Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean less than 402 is _______.

a) 0.3413

b) 0.6826

c) 0.8413

d) 0.1587

e) 0.9875

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

56. Suppose a population has a mean of 450 and a variance of 900. If a random sample is size 100 is drawn from the population, the probability that the sample mean is between 448 and 453 is _______.

a) 0.4972

b) 0.6826

c) 0.4101

d) 0.5899

e) 0.9878

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

57. Suppose a population has a mean of 870 and a variance of 1,600. If a random sample is size 64 is drawn from the population, the probability that the sample mean is between 860 and 875 is _______.

a) 0.9544

b) 0.6826

c) 0.8785

d) 0.5899

e) 0.8185

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

58. Suppose a population has a mean of 870 and a variance of 8,100. If a random sample is size 36 is drawn from the population, the probability that the sample mean is between 840 and 900 is _______.

a) 0.9544

b) 0.6826

c) 0.8185

d) 0.5899

e) 0.0897

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

59. Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert’s sample of 64 will have a mean less than 14 minutes is ________.

a) 0.4772

b) 0.0228

c) 0.9772

d) 0.9544

e) 1.0000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

60. Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert’s sample of 64 will have a mean less than 16 minutes is ________.

a) 0.4772

b) 0.0228

c) 0.9072

d) 0.9544

e) 0.9772

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

61. Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert’s sample of 64 will have a mean less than 15 minutes is ________.

a) 0.5000

b) 0.0228

c) 0.9072

d) 0.9544

e) 1.0000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

62. Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert’s sample of 64 will have a mean between 13.5 and 16.5 minutes is ________.

a) 0.9974

b) 0.4987

c) 0.9772

d) 0.4772

e) 0.5000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

63. A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude’s sample has a mean greater than 120.0125 inches is _____________.

a) 0.0124

b) 0.0062

c) 0.4938

d) 0.9752

e) 1.0000

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

64. A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods have a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude’s sample has a mean less than 119.985 inches is _____________.

a) 0.9974

b) 0.0026

c) 0.4987

d) 0.0013

e) 0.0030

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

65. A carload of steel rods has arrived at Cybermatic Construction Company. The car contains 50,000 rods. Claude Ong, manager of Quality Assurance, directs his crew measure the lengths of 100 randomly selected rods. If the population of rods has a mean length of 120 inches and a standard deviation of 0.05 inch, the probability that Claude’s sample has a mean between 119.985 and 120.0125 inches is ____________.

a) 0.9925

b) 0.9974

c) 0.9876

d) 0.9544

e) 0.9044

Ans:

Response: See section 7.2 Sampling Distribution of

Difficulty: Medium

66. Suppose 40% of the population possess a given characteristic. If a random sample of size 300 is drawn from the population, then the probability that 44% or fewer of the samples possess the characteristic is _______.

a) 0.0793

b) 0.4207

c) 0.9207

d) 0.9900

e) 1.0000

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Medium

67. Suppose 30% of a population possess a given characteristic. If a random sample of size 1200 is drawn from the population, then the probability that less than 348 possess that characteristic is _______.

a) 0.2236

b) 0.2764

c) 0.2900

d) 0.7764

e) 0.3336

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Medium

68. If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is less than 0.88?

a) 0.2019

b) 0.2981

c) 0.5300

d) 0.7019

e) 0.7899

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

69. If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is more than 0.89?

a) 0.1064

b) 0.2700

c) 0.3936

d) 0.6064

e) 0.9000

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

70. Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than 30 of those in the sample have a computer at home?

a) 0.3686

b) 0.1314

c) 0.8686

d) 0.6314

e) 0.1343

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

71. Suppose 40% of all college students have a computer at home and a sample of 100 is taken. What is the probability that more than 50 of those in the sample have a computer at home?

a) 0.4793

b) 0.9793

c) 0.0207

d) 0.5207

e) 0.6754

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

72. Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. If 10% of the 5,000 payroll vouchers issued since January 1, 2000, have irregularities, the probability that Pinky’s random sample of 200 vouchers will have a sample proportion greater than .06 is ___________.

a) 0.4706

b) 0.9706

c) 0.0588

d) 0.9412

e) 0.9876

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

73. Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system. If 10% of the 5,000 payroll vouchers issued since January 1, 2000, have irregularities, the probability that Pinky’s random sample of 200 vouchers will have a sample proportion of between .06 and .14 is ___________.

a) 0.4706

b) 0.9706

c) 0.0588

d) 0.9412

e) 0.8765

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

74. Catherine Chao, Director of Marketing Research, needs a sample of Kansas City households to participate in the testing of a new toothpaste package. If 40% of the households in Kansas City prefer the new package, the probability that Catherine’s random sample of 300 households will have a sample proportion greater than 0.45 is ___________.

a) 0.9232

b) 0.0768

c) 0.4616

d) 0.0384

e) 0.8974

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard

75. Catherine Chao, Director of Marketing Research, needs a sample of Kansas City households to participate in the testing of a new toothpaste package. If 40% of the households in Kansas City prefer the new package, the probability that Catherine’s random sample of 300 households will have a sample proportion between 0.35 and 0.45 is ___________.

a) 0.9232

b) 0.0768

c) 0.4616

d) 0.0384

e) 0.8976

Ans:

Response: See section 7.3 Sampling Distribution of

Difficulty: Hard