The distribution of the scores on a standardized exam is approximately normal with mean 400 and standard deviation 35. Between what two values do the middle 50% of scores lie? Round to the nearest whole number. Write you answers with comma between them.

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.

Three cars are driving on a racetrack. The mean speed of the three cars is 100 miles per hour. Car X drives 109 miles per hour and Car Y drives 117 miles per hour. Use the mean to estimate the speed of Car Z. What is the actual speed of Car Z?

Sofia wants to determine the average household expenditure on lawn care products per year. She believes that the standard deviation is 19.2. She wants to be 95% confident. How many people does she need to ask for a margin of error of $2.50? Round the answer as you should for this type of problem.(Don't worry if Canvas adds extra zeros after the decimal.)

Three cars are driving on a racetrack. The mean speed of the three cars is 100 miles per hour. Car X drives 109 miles per hour and Car Y drives 117 miles per hour. Use the mean to estimate the speed of Car Z. Then find the actual speed of Car Z.

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...                       85 110         A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 85. The x-axis below the second line is labeled 110.       Question content area bottom Part 1 The area of the shaded region is enter your response here. ​(Round to four decimal places as​ needed.)

To take a medical test and the doctor tells you that your wellness z-score is 1.86. What percent of the population is in worse health? a. -0.031 b. -0.969 c. 0.969 d. 0.031

What percentage of the widget Weights lie between 55 and 79 ounces when the mean is 61 and the standard deviation is 6 ?

We have provided simple data sets for you to practice the basics of finding measures of variation. For each data set, determine the a. range. b. sample standard deviation. 4, 2, 0, 2, 2

Joselyn hopes to receive a grade of B or better in her statistics class. Currently she has scored 75, 83, and 81 on her three in-class tests and also has a homework average of 88. Her professor calculates the class grade by finding the mean of five grades: three in-class tests, the homework average and the final exam. What is the minimum score Joselyn must earn on the final exam to have a class grade (mean) of 80? A. 67 B. 95 C. 70 D. 73