Asked by Ashley Klawetter on May 05, 2024
Verified
A new manufacturing plant has 20 job openings. To select the best 20 applicants from among the 1,000 job seekers, the plant's personnel office administers a written aptitude test to all applicants. The average score on the aptitude test is 150 points with a standard deviation of 10 points. Assume the distribution of test scores is approximately mound-shaped.
a. What percentage of the test scores will fall between 130 and 160 points?
Approximately ______________. (Enter as a decimal percent or use the % sign.)
b. How many applicants will score between 130 and 160 points?
At least ______________ applicants.
c. One of the applicants scored 192 points on the test. What might you conclude about this test score?
____________________________
Mound-Shaped Distribution
A data distribution that is symmetric and bell-shaped, often resembling the normal distribution but not necessarily having its mathematical properties.
Standard Deviation
A measure of the dispersion or variability within a set of numerical data, indicating how spread out the values are from the mean.
- Employ the Empirical Rule on symmetric distributions to evaluate the percentage of data points situated within one, two, or three standard deviations of the mean.
- Acquire knowledge on the calculating methods for mean, median, standard deviation, and range in collections of data.
- Evaluate distributions and apply statistical rules to infer characteristics of populations based on sample data.
Verified Answer
JJ
Learning Objectives
- Employ the Empirical Rule on symmetric distributions to evaluate the percentage of data points situated within one, two, or three standard deviations of the mean.
- Acquire knowledge on the calculating methods for mean, median, standard deviation, and range in collections of data.
- Evaluate distributions and apply statistical rules to infer characteristics of populations based on sample data.
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