Roberta got a 55 on her physics midtermand a 80 on her chemistry midterm. Thephysics exam had a mean of 50 and a stan-dard deviation of 29. The chemistry midtermhad a mean of 69 and a standard deviationof 10. Calculate the difference, Zp-Zc ofthe standardized random variables to com-pare Roberta's performance on the two ex-ams. Enter your answer as a decimal withfour significant digits.A

Given that. X~N( μ , ?) Z-score =( x - μ )/?

Answered: Roberta got a 55 on her physics midterm…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births. Click the icon to view the data table. The mean is u = girl(s). (Round to one decimal place as needed.) The standard deviation is o = girl(s). (Round to one decimal place as needed.)
You have a sample of 48 randomly selected Vancouverites. On average (the sample mean), the people in your sample spent 425 hours eating food in 2020. The least time a person in the sample spent eating food in 2020 is 367 hours and the most time a person in the sample spent eating food in 2020 is 484 hours. What would be your best guess about the population standard deviation of the time a Vancouverite spent eating food in 2020? Give the number and explain (including assumptions you make about the population distribution).
A company that supplies LP gas for heating keeps data on the low temperature for each day of each month. It sum-marizes these data by finding the mean, median, standard deviation and interquartile range. The company assumesthat people use the LP gas for heat when the temperature is below 70°, so it creates a second set of data by subtract-ing 70 from each daily low temperature. Which of the four summary statistics will change for this second data set?A) mean and median onlyB) mean and standard deviation onlyC) median and IQR onlyD) standard deviation and IQR onlyE) mean, median, standard deviation, and IQR
Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?
You got the 8 out of 10 in this set of scores 10, 8, 10, 6, 7, 3, 5 You also got an 8 on thelast quiz. The last quiz had an average score of 7.5 and had a standard deviation of 6.Which quiz did you perform better, and why?
In Statsville there’s a city-wide speed limit of 30 mph.If you are caught speeding the fine is $100 plus $10 forevery mile per hour you were over the speed limit. Forexample, if you’re ticketed for going 45 mph, your fine is100 + 10145 - 302 = +250. Last month all the driverswho were fined for speeding averaged 42 mph with astandard deviation of 7 mph. What were the mean andstandard deviation of the fines?A) $120 and $70 B) $220 and $7C) $220 and $70 D) $220 and $170E) $420 and $70
Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a standard deviation of 5.15, Todd got an 84.00. In political science the class mean was 84.00 with a standard deviation of 5.50, Todd got an 84.00. In economics the class mean was 87.50 with a standard deviation of 5.60, Todd got a 84.00. 4. Which class showed the highest variability in scores? 5. Which class showed the lowest variability in scores? 6. Which class had the highest average test score?
Find the value of the standardized test statistic.
In a psychology class, 40 students have a mean score of 89.5 on a test. Then 24 more students take the test and their mean score is 78.3.What is the mean score of all of these students together? Round to one decimal place.
Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a standard deviation of 5.15, Todd got an 84.00. In political science the class mean was 84.00 with a standard deviation of 5.50, Todd got an 84.00. In economics the class mean was 87.50 with a standard deviation of 5.60, Todd got a 84.00. 10. What percentage of the economics class scores higher than Todd? 11. Which class is Todd doing best in? State how you determined your answer. 12. Which class is Todd doing worst in? State how you determined your answer.
Kara has five exam scores of 6363, 5959, 6767, 7575, and 7373 in her biology class. What score does she need on the final exam to have a mean grade of 7070?
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 312 yards. The probability the golf ball travels further than 319 yards is 0.28. Find the probability a randomly selected golf ball travels between 305 yards and 319 yards. Express the answer as a decimal value rounded to the nearest hundredth.

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