Question

In: Statistics and Probability

United States has approximately 1.1 Million International Students out of which 3,50,000 students are from china,...

United States has approximately 1.1 Million International Students out of which 3,50,000 students are from china, 200,000 from India.

Every year, approximately 20,000 Indian students come to United states for pursuing university education. The Minitab file has 500 students sample out of 20,000 in 2017. Based on this…

  1. What is the range of GRE score in which TRUE POPULATION mean may belong? What is your understanding from this question?

N

Mean

StDev

SE Mean

90% CI for μ

95% CI for μ

99% CI for μ

500

316.472

11.295

0.505

(315.640, 317.304)

(315.480, 317.464)

(315.166, 317.778)

μ: population mean of GRE Score
  1. What is the range of TOEFL score in which TRUE POPULATION mean may belong? What is your understanding from this question?

N

Mean

StDev

SE Mean

90% CI for μ

95% CI for μ

99% CI for μ

500

107.192

6.082

0.272

(106.744, 107.640)

(106.658, 107.726)

(106.489, 107.895)

μ: population mean of TOEFL Score

Solutions

Expert Solution

1) for GRE,

The range of True pulation mean of GRE is belong to interval and range given by,

i) At 90% confidence level : (315.640, 317.304) and his range is  317.304 - 315.640 = 1.664

ii) at 95% confidence level : (315.480, 317.464) and his range is 317.464 - 315.480 = 1.984

iii) at 99% confidence level : (315.166, 317.778) and his range is 317.778 - 315.166 = 2.612

As the confidece level increases the range of interval is also increases.

2) For TOEFL

The range of True pulation mean of TOEFL is belong to interval and range given by,

i) At 90% confidence level : (106.744, 107.640) and his range is   107.640 - 106.744= 0.896

ii) at 95% confidence level : (106.658, 107.726) and his range is 107.726 - 106.658 = 1.068

iii) at 99% confidence level : (106.489, 107.895) and his range is 107.895 - 106.489 =1.406

As the confidece level increases the range of interval is also increases.

orchestra answered 1 year ago
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