Question

In: Statistics and Probability

A personnel manager has found that historically the scores on aptitude tests given two applicants for...

A personnel manager has found that historically the scores on aptitude tests given two applicants for entry level positions follow a normal distribution. A random sample of 19 test scores from the current group of applicants has a sample mean score of 187.9 points and a sample standard deviation as 32.4 points.
a. find the margin of error.
b. construct a confidence interval estimate for the population mean with 80% level of confidence.
c. construct a confidence interval estimate for population mean with 85% level of confidence.

Solutions

Expert Solution


Related Solutions

A personnel manager has found that historically the scores on aptitude test given to applicants for...
A personnel manager has found that historically the scores on aptitude test given to applicants for entry level positions follow a normal distribution. A random sample of nineteen test scores from the current group of applicants had a sample mean score of 187.9 points and sample standard deviation as 32.4 points. a. Find the margin of error. b. Construct a confidence interval estimate for population mean with 80 percent level of confidence. c. Construct a confidence interval estimate for population...
All applicants to medical school are required to take an entrance exam. Historically, scores on the...
All applicants to medical school are required to take an entrance exam. Historically, scores on the exam are known to be normally distributed with mean 80 and standard deviation 4. This year, we observe that a sample of 16 applicants obtains an average score of 78.67. Does this provide evidence that the average of all this year's applicants is less than 80? To answer this question, we do a hypothesis test using a significance level of 0.05. Check all of...
Aptitude tests should produce scores with a large amount of variation so that an administrator can...
Aptitude tests should produce scores with a large amount of variation so that an administrator can distinguish between persons with low aptitude and persons with high aptitude. Two tests used by a certain industry are given. There are 21 subjects who receive the first test with a standard deviation of 10.3 points and 23 subjects who receive the second test with a standard deviation of 12.4 points. Is there sufficient evidence to conclude that there is a difference in the...
The values given below shows the aptitude test scores, x, and the intelligence quotient (IQ), y,...
The values given below shows the aptitude test scores, x, and the intelligence quotient (IQ), y, for 9 people. x : 68, 72, 65, 70, 62, 75, 78, 64, 69 y : 90, 85, 88, 100, 105, 98, 70, 65, 72 Resolve problem and find the correlation coefficient using Spearman Rank Correlation. Interpret the result accordingly. (15 pts)
A standardized test is given to a sixth grade class. Historically, the test scores have had...
A standardized test is given to a sixth grade class. Historically, the test scores have had a standard deviation of 21. The superintendent believes that the standard deviation of performance may have recently changed. She randomly sampled 30 students and found a mean of 160 with a standard deviation of 21.3846. Is there evidence that the standard deviation of test scores has increased at the α=0.025 level? Assume the population is normally distributed. Step 1 of 5: State the hypotheses...
There are two major tests of readiness for college, the ACT and the SAT. ACT scores...
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean μ = 21.5 and standard deviation σ = 5.4. SAT scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean μ = 1498 and standard deviation σ = 316. Exercises 1.124 through 1.133 are based...
The personnel director for a small manufacturing company has collected the data found in the table...
The personnel director for a small manufacturing company has collected the data found in the table 1 describing the salary (Y) earned by each machinist in the factory along with the average performance rating (X1) over the past 3 years, the years of service (X2), and the number of different machines each employee is certified to operate (X3). The personnel director wants to build a regression model to estimate the average salary an employee should expect to receive based on...
The table below shows the scores of 25 Mathematics students in two mid-term tests and the...
The table below shows the scores of 25 Mathematics students in two mid-term tests and the Final test score. Test 1 Test 2 Final Test 75 69 76 95 75 93 91 78 90 98 84 98 75 57 71 54 39 51 71 63 75 48 48 58 89 68 88 81 60 82 71 60 71 72 56 71 95 81 92 81 69 76 72 63 74 95 76 96 80 64 74 83 77 92 90...
The following table shows student’s test scores on the first two tests in an introductory biology...
The following table shows student’s test scores on the first two tests in an introductory biology class. First test, x Second test, y 55 58 40 43 71 68 82 86 90 87 50 51 83 87 75 70 65 67 52 55 77 77 93 90 (a) Draw a scatter plot using one the following website(s): http://www.alcula.com/calculators/statistics/scatter-plot/ or https://www.meta-chart.com/scatter (b) Estimate the correlation in words (positive, negative, or no correlation) (c) Calculate the correlation coefficient, r. (d) Determine whether...
Qualitative – Andy is the marketing manager for Global Auto. Historically, Global has sold cars as...
Qualitative – Andy is the marketing manager for Global Auto. Historically, Global has sold cars as a "core good" - that is, a piece of metal, rubber, and glass that you drive. He is interested in the idea of "product-service" bundling for his firm. Give two examples of how you might provide such a bundle.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT