(6 pts) The Graduate Management Admission Test (GMAT) is a test required for admission into many...
(6 pts) The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Suppose a random sample of 8 students took the test, and their scores are given below.
699, 560, 414, 570, 521, 663, 727, 413
- Find a point estimate of the population mean.
- Construct a 95% confidence interval for the true mean score for the population.
- Interpret the interval you constructed above.
- How many students should be surveyed to estimate the mean score within 25 points with 95% confidence? Hint – use the formula
Homework Answers
Point estimate of the population mean is 
To find CI we first need to calculate standard deviation
Create the following table.
| data | data-mean | (data - mean)2 |
| 699 | 128.125 | 16416.015625 |
| 560 | -10.875 | 118.265625 |
| 414 | -156.875 | 24609.765625 |
| 570 | -0.875 | 0.765625 |
| 521 | -49.875 | 2487.515625 |
| 663 | 92.125 | 8487.015625 |
| 727 | 156.125 | 24375.015625 |
| 413 | -157.875 | 24924.515625 |
Find the sum of numbers in the last column to get. 
So 
Now let us assume that distribution is normal
So t table value for 7 df is 2.365
So Margin of Error is 
Hence CI is 
From CI we find that the population test score lies between 470.229 to 671.521
Now here E=25 and s=120.3678
Using this values we find 
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(6 pts) The Graduate Management Admission Test (GMAT) is a test
required for admission into many...
1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters...
1. The Graduate Management Admission Test (GMAT) is a test
required for admission into many masters of business administration
(MBA) programs. Suppose a random sample of 8 students took the
test, and their scores are given below.
699, 560, 414, 570, 521, 663, 727, 413
a. Find a point estimate of the population mean.
b. Write a sentence about how you can verify the data could come
from a population that is normally distributed, using the graph
below.
c. Construct...
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includes, but is not limited to: formulas, graphs, and
calculations. If you use the web calculator, StatCrunch, Minitab,
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1. The Graduate Management Admission Test (GMAT) is a test
required for admission into many masters of business administration
(MBA) programs. Suppose a random sample of 8 students took the
test, and their scores are given below.
699, 560, 414, 570, 521, 663, 727, 413
a. Find a point estimate of the population mean.
b. Write a sentence about how you can verify the data could come
from a population that is normally distributed, using the graph
below.
c. Construct...
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6100 graduate management programs worldwide. The mean sore for all test-takers is 550 with a standard deviation of 120 A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines...
Question 6 1 pts A business student is preparing for the Graduate Management Admission Test (GMAT) so he can get into a good graduate business school. He knows that any money he spends on a tutor will be worthwhile if he can improve his scores. He's heard that there is a great tutor in his local community but has no idea who she is. Marketing does not occur in this situation because two or more parties have unsatisfied needs. there...
Directions: Please show your work. Submitting answers only will
not earn you full credit for a given problem. Showing work
includes, but is not limited to: formulas, graphs, and
calculations. If you use the web calculator, StatCrunch, Minitab,
Excel, Table V, Graphing Calculator, etc…, you must include your
output with your answer (I suggest using the Snipping Tool in
Windows). Use the prescribed method of test (Classical or P-value)
for each question. Follow all the steps used in hypothesis testing...
2. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with standard deviation 8.8. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below: 152, 126, 146, 149, 152, 164, 139, 134, 145, 136. Test the claim that the mean verbal reasoning score is different from 150 using the P-value approach at...
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