Please Help: Module 10.2
Section | Question 1 (2.5 points) The stretch in a spring varies directly as the attached weight. A 6kg weight stretches a spring 2.4 cm. a. What is the constant of variation? b. What weight would stretch the spring 4 cm? Question 2 (2.5 points) Weekly salaries (in dollars) for a sample of registered nurses are listed. 774 446 1019 795 908 667 444 960 a. Find the mean, the median and the mode of the salaries. Which best describes a typical salary? b. Find the range and standard deviation of the data set. Interpret the results in context of the real-life setting. Question 3 (2.5 points) The mean price from a sample of houses is $155,000, with a standard deviation of $15,000 and is normally distributed. Between what two prices do 95% of the houses fall? Question 4 (2.5 points) Find the area under the standard normal curve for the area to the right of z = -2.10. Question 5 (2.5 points) Find the area under the standard normal curve for the area between 2 = -2.33 and z = 2.33. Section II For the following question, use the information below: In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. Question 6 (2.5 points) Find the probability that a student scored higher than 315. For the following question, use the information below: In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. Question 7 (2.5 points) Find the probability that a student had a score between 250 and 305. For the following question, use the information below: In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. Question 8 (2.5 points) What percent of students had a test score that is greater than 250? For the following question, use the information below: In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. Question 9 (2.5 points) If 2000 students are randomly selected, how many would you expect to have a score between 250 and 305? Section III Question 10 (2.5 points) The access code for a cars security system consists of 4 digits. The first digit cannot be 0 and the last digit must be even. How many different codes are available? Question 11 (2.5 points) From a pool of 25 candidates, the offices of president, vice-president, secretary, and treasurer must be filled. In how many ways can the offices be filled? Question 12 (2.5 points) A sales clerk must create a display of china plates. She has 6 blue plates, 5 white plates, and 5 patterned plates. In how many distinguishable ways can she arrange the plates? Paragraph V B
