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Coker College *
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203
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Mathematics
Date
Feb 20, 2024
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1/23/24, 10:33 PM Homework 3: Interpreting Descriptive Statistics - MAT 203, section WS1 & WS1CC, Spring 2024 | WebAssign 1. [-/1.4 Points] DETAILS | my NOTES ASK YOUR TEACHER || PRACTICE ANOTHER The St. Louis Cardinals baseball team has a team batting average of ;=0.283 with a standard deviation of ¢=0.042 . Yadier Molina, who plays for the Cardinals, has a batting average of 0.253. The Coker University baseball team has a team batting average of p=0.278 with a standard deviation of ¢=0.066 . Larry McCabe, who plays for Coker, has a batting average of 0.333. Calculate the z-score for Yadier Molina's batting average. Round your answer to 2 decimal places. Calculate the z-score for Larry McCabe's batting average. Round your answer to 2 decimal places. Relative to the rest of their team, which player is more unusual in terms of their batting average? O Yadier Molina is more unusual O Larry McCabe is more unusual c}g 2. [-/1.4 Points] DETAILS MY NOTES ASK YOUR TEACHER || PRACTICE ANOTHER | Data is collected about how many take-out coffees students purchase in a typical week. 30 students participate in the survey. The results are summarized in the chart below. Find the mode of the data. |:| Find the mean number of coffees per week. Round your answer to 2 decimal places. l: Find the median number of coffees per week. l:] Which statement best interprets the result? O The average is slightly higher than the median because the data is skewed left. O There is one student that gets 10 coffees per week, which skews the mean way higher than the median. O The average is slightly higher than the median because the data is skewed right. O The median is higher than the average because the data is skewed right. hitps://www.webassign.net/web/Student/Assignment-Responses/last?dep=33676271 2/8
1/23/24, 10:33 PM Homework 3: Interpreting Descriptive Statistics - MAT 203, section WS1 & WS1 CC, Spring 2024 | WebAssign 3. [-/1.4 Points] | DETAILS MY NOTES || ASK YOUR TEACHER Mina is waiting in line at the Department of Motor Vehicles (DMV). Her wait time of 30 minutes is the 95th percentile of wait times. Interpret the 95th percentile in the context of this situation. O 95% of customers at the DMV have to wait longer than 30 minutes O The average wait time at the DMV is 28.5 minutes O 95% of customers at the DMV have to wait 30 minutes or less O 5% of customers at the DMV have to wait 30 minutes or less 4. [-/1.4 Points] DETAILS | MY NOTES ASK YOUR TEACHER | ‘ PRACTICE Ai’\iO‘f’HE"‘\gl : : o You conduct a study to find out about the range of salaries for members of the community in Hartsville. The data you obtain about 193 community members is organized into the histogram below: Estimate the median salary for Hartsville community members. $ l:l Estimate the sample mean salary of the 193 community members. Round your answer to the nearest penny. $ Estimate the sample standard deviation for the 193 community members. Round your answer to the nearest penny. $ 5. [-/1.4 Points] DETAILS | MY NOTES || ASKYOUR TEACHER Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generaily sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. 30th percentile = l:] https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33676271 3/8
1/23/24, 10:33 PM Homework 3: Interpreting Descriptive Statistics - MAT 203, section WS1 & WS1CC, Spring 2024 | WebAssign 6. [-/1.4 Points] DETAILS MY NOTES i ASK YOUR TEACHER ] PRACTICE ANOTHER The following data is collected by selecting a sample of 20 retail stores in a large metropolitan area, and recording their distance to a large distribution center. The distances are in miles. 36/39;44;48;49;56;58,63;67,69;76;81;84;87;89;110;111;118;1 22,124 Find the sample standard deviation. Round your answer to 2 decimal places. l: 3% https://www.webassign.net/weblStudent/Assignment-Responses/last?dep=33676271 4/8
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1/23/24, 10:33 PM 7. [-/1.4 Points] DETAILS | ILLOWSKYINTROSTAT1 2.4.090.HW. MY NOTES || ASKYOURTEACHER || PRACTICE ANOTHER | Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows. b | O EN 1 : EE Construct a box plot of the data. % o ©® 1 2 3 a4 s o o6 1 2 3 a4 5 Additional Materials * Reading https://www.webassign.net/web/Student/Assignment-Responses/last?dep=33676271 5/8