Chat with AIExam 3: Statistics for Describing, Exploring, and Comparing Data
Determine which score corresponds to the higher relative position.
-Data set: data point 55
(36) 
VerifiedD
Provide an appropriate response.
-A company advertises an average of 42,000 miles for one of its new tires. In the manufacturing process there is some variation around that average. Would the company want a process that provides a large or a small variance? Justify your answer.
(35) 
Answered by Examlex AI CopilotA company would generally prefer a process that provides a small variance in the manufacturing of its tires. Variance is a statistical measure that represents the degree to which a set of values is spread out. A small variance indicates that the tire mileages are closely clustered around the average (mean) value, which in this case is advertised as 42,000 miles.
Here are several reasons why a small variance is desirable:
1. **Consistency**: A small variance ensures that the tires are consistent in quality and performance. Customers expect the tires they purchase to perform as advertised. If the tires consistently last close to the advertised mileage, customer satisfaction is likely to be higher.
2. **Reliability**: Tires with mileages that vary only slightly from the average are more reliable. This reliability can lead to a stronger brand reputation and customer trust, as buyers can be confident that the tires will meet their expectations.
3. **Reduced Returns and Complaints**: If the variance is large and some tires wear out much sooner than expected, the company may face an increased number of returns, complaints, and warranty claims. This can lead to additional costs and damage to the company's reputation.
4. **Competitive Advantage**: In a competitive market, the ability to produce a product with consistent quality can be a significant advantage. It can differentiate the company's tires from those of competitors who may have greater variability in their products.
5. **Predictability in Production**: A small variance also helps the company in planning and managing its production processes. Predictable quality means that the company can set more accurate quality control standards and reduce waste from defective products.
6. **Legal and Regulatory Compliance**: There may be legal or regulatory standards that require products to meet certain specifications. A process with a small variance is more likely to produce tires that consistently meet these standards, reducing the risk of legal issues.
In summary, a small variance in the tire manufacturing process is beneficial for ensuring product consistency, reliability, customer satisfaction, and competitive advantage, while also helping to manage production efficiently and comply with legal standards.
Find the percentile for the data point.
-The weights (in pounds)of 30 newborn babies are listed below. Find 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7
(41) VerifiedA
Find the variance for the given data. Round your answer to one more decimal place than the original data.
-22, 29, 21, 24, 27, 28, 25, 36
(46) Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
-Which score has a higher relative position, a score of on a test for which and s , or a score of 350 on a test for which and s ?
(40) Solve the problem.
-The mean salary of the female employees of one company is $29,525. The mean salary of the male employees of the same company is $33,470. Can the mean salary of all employees of the company be obtained by finding the mean of $29,525 and $33,470? Explain your thinking. Under what conditions would the mean of $29,525 and $33,470 yield the mean salary of all employees of the company?
(36) Solve the problem.
-Skewness can be measured by Pearson's index of skewness:
If or , the data can be considered significantly skewed. Find Pearson's index of skewness for the test scores below.
68 80 32 85 72 42 75 91 84 73 101
(37) Find the mode(s)for the given sample data.
- 3 6 9 0 4 1 11 5 9 14 3 8 2 15 0 9
(28) Solve the problem.
-The quadratic mean (or root mean square)is usually used in physical applications. In power distribution systems, for example, voltages and currents are usually referred to in terms of their root mean square value. The quadratic mean of a set of values is obtained by squaring each value, adding the results, dividing by the number of values (n), and then taking the square root of that result, expressed as Find the root mean square of these power supplies (in volts): 19, 57, 28, 45.
(30) Find the mean of the data summarized in the given frequency distribution.
-A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. Salary (\ ) Employees 5,001-10,000 16 10,001-15,000 14 15,001-20,000 15 20,001-25,000 17 25,001-30,000 18
(38) Find the indicated measure.
-The test scores of 40 students are listed below. Find P56. 30 35 43 44 47 48 54 55 56 57 59 62 63 65 66 68 69 69 71 72 72 73 74 76 77 77 78 79 80 81 81 82 83 85 89 92 93 94 97 98
(35) Find the variance for the given data. Round your answer to one more decimal place than the original data.
-2, 6, 15, 9, 11, 22, 1, 4, 8, 19
(43) Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-The normal monthly precipitation (in inches)for August is listed for 12 different U.S. cities.
3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2
Compute the standard deviation.
(33) Answer the question.
-The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities. Find the mean of the data. 3.5 1.6 2.4 3.7 4.1
3.9 1.0 3.6 4.2 3.4
3.7 2.2 1.5 4.2 3.4
2.7 0.4 3.7 2.0 3.6
(34) Find the variance for the given data. Round your answer to one more decimal place than the original data.
-496, 598, 503, 528, 565, 601, 576, 543
(36) Answer the question.
-The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period. 30 32 30 33 33 30 35 32 40 36 36 34 29 36 30 25 20 32 32 32
(30) Find the median for the given sample data.
-7.22, 7.41, 7.56, 7.22, 7.88, 7.99, 7.62
(41) Find the median for the given sample data.
-62, 25, 62, 13, 25, 29, 56, 62
(31) Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
-Which score has a higher relative position, a score of on a test for which and s , or a score of 66 on a test for which and ?
(43) Find the median for the given sample data.
-98, 69, 32, 69, 29, 98
(32) 
Filters
- Essay(0)
- Multiple Choice(0)
- Short Answer(0)
- True False(0)
- Matching(0)