# Statistics MCQs – Estimation Part 3

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41. Your statistics lecturer wants you to determine a confidence interval estimate for the mean test mark for the next test. In the past, the test marks have been normally distributed with a population standard deviation of 25.2. A 95 % confidence interval estimate if your class has 30 students and a sample mean mark of 74.2 is:

a. 63.14 to 85.26

b. 65.18 to 83.22

c. 65.63 to 82.77

d. 64.14 to 84.26

e. 68.14 to 80.26

42. Your statistics lecturer wants you to determine a confidence interval estimate for the mean test mark for the next test. In the past, the test marks have been normally distributed with a population standard deviation of 30.9. A 95 % confidence interval estimate if your class has 50 students and a sample mean mark of 74.2 is:

a. 63.14 to 85.26

b. 65.18 to 83.22

c. 65.63 to 82.77

d. 64.14 to 84.26

e. 68.14 to 80.26

43. Your statistics lecturer wants you to determine a confidence interval estimate for the mean test mark for the next test. In the past, the test marks have been normally distributed with a population standard deviation of 28.1. A 95 % confidence interval estimate if your class has 30 students and a sample mean mark of 74.2 is:

a. 63.14 to 85.26

b. 65.18 to 83.22

c. 65.63 to 82.77

d. 64.14 to 84.26

e. 68.14 to 80.26

44. Your statistics lecturer wants you to determine a confidence interval estimate for the mean test mark for the next test. In the past, the test marks have been normally distributed with a population standard deviation of 30.9. A 95 % confidence interval estimate if your class has 100 students is and a sample mean mark of 74.2:

a. 63.14 to 85.26

b. 65.18 to 83.22

c. 65.63 to 82.77

d. 64.14 to 84.26

e. 68.14 to 80.26

45. An economist is interested in studying the monthly incomes of consumers in a particular region. The population standard deviation of monthly income is known to be R1000. A random sample of 50 individuals resulted in an average monthly income of R15000. What is the upper end point in a 99 % confidence interval for the average monthly income in this region?

a. R15364

b. R15328

c. R15347

d. R15382

e. R15332

46. An economist is interested in studying the monthly incomes of consumers in a particular region. The population standard deviation of monthly income is known to be R900. A random sample of 50 individuals resulted in an average monthly income of R15000. What is the upper end point in a 99 % confidence interval for the average monthly income in this region?

a. R15364

b. R15328

c. R15347

d. R15382

e. R15332

47. An economist is interested in studying the monthly incomes of consumers in a particular region. The population standard deviation of monthly income is known to be R1000. A random sample of 55 individuals resulted in an average monthly income of R15000. What is the upper end point in a 99 % confidence interval for the average monthly income in this region?

a. R15364

b. R15328

c. R15347

d. R15382

e. R15332

48. An economist is interested in studying the monthly incomes of consumers in a particular region. The population standard deviation of monthly income is known to be R1050. A random sample of 50 individuals resulted in an average monthly income of R15000. What is the upper end point in a 99 % confidence interval for the average monthly income in this region?

a. R15364

b. R15328

c. R15347

d. R15382

e. R15332

49. An economist is interested in studying the monthly incomes of consumers in a particular region. The population standard deviation of monthly income is known to be R1000. A random sample of 60 individuals resulted in an average monthly income of R15000. What is the upper end point in a 99 % confidence interval for the average monthly income in this region?

a. R15364

b. R15328

c. R15347

d. R15382

e. R15332

50. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (177.22 cm; 179.18 cm) . What is the value of the sample mean for this sample?

a. 178.20cm

b. 179.24cm

c. 177.38cm

d. 178.42cm

e. 176.58cm

51. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (178.54 cm; 179.94 cm) . What is the value of the sample mean for this sample?

a. 178.20cm

b. 179.24cm

c. 177.38cm

d. 178.42cm

e. 176.58cm

52. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (176.50 cm; 178.26 cm) . What is the value of the sample mean for this sample?

a. 178.20cm

b. 179.24cm

c. 177.38cm

d. 178.42cm

e. 176.58cm

53. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (177.89 cm; 178.95 cm) . What is the value of the sample mean for this sample?

a. 178.20cm

b. 179.24cm

c. 177.38cm

d. 178.42cm

e. 176.58cm

54. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (175.90 cm; 177.25 cm) . What is the value of the sample mean for this sample?

a. 178.20cm

b. 179.24cm

c. 177.38cm

d. 178.42cm

e. 176.58cm

55. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (177.22 cm; 179.18 cm) . What is the value of the standard deviation of the population from which this sample was drawn?

a. 5.0

b. 3.6

c. 4.5

d. 2.7

e. 3.4

56. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (178.54 cm; 179.94 cm) . What is the value of the standard deviation of the population from which this sample was drawn?

a. 5.0

b. 3.6

c. 4.5

d. 2.7

e. 3.4

57. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (176.50 cm; 178.26 cm) . What is the value of the standard deviation of the population from which this sample was drawn?

a. 5.0

b. 3.6

c. 4.5

d. 2.7

e. 3.4

58. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (177.89 cm; 178.95 cm) . What is the value of the standard deviation of the population from which this sample was drawn?

a. 5.0

b. 3.6

c. 4.5

d. 2.7

e. 3.4

59. On the basis of a random sample of 100 men from a particular province in South Africa, a 95 % confidence interval for the mean height of men in the province is found to be (175.90 cm; 177.25 cm) . What is the value of the standard deviation of the population from which this sample was drawn?

a. 5.0

b. 3.6

c. 4.5

d. 2.7

e. 3.4

60. In developing a 95 % confidence interval estimate for a population mean, the interval estimate was (62.84; 69.46) . What was the sample mean?

a. 66.15

b. 65.83

c. 65.35

d. 67.01

e. 66.87