STAT Chp3 Quiz

Calculate the five-number summary of the given data. Use the approximation method. 13,16,24,16,16,8,3,3,1,2,7,15,17,19,10

1,3,13,16,24

Calculate the GPA of a student with the following grades: C (16 hours), B (5 hours), D (12 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.

1.79

Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Number of Calories in Fast Food Cheeseburgers 580 780 490 560 930 690 790 370 930 450 320 710 550 550 560 640 380 970 400 740

194.7

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. Approximately how many families are in the sample? Round your answer to the nearest integer.

200

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. What is the value of the 50th percentile?

26.2

Calculate the five-number summary of the given data. Use the approximation method. 18,10,12,19,18,15,9,5,11,17,17,12,3,17

3, 10, 13.5, 17, 19

Given the following data, find the weight that represents the 79th percentile. Weights of Newborn Babies 8.0 7.3 7.5 9.1 8.0 6.9 7.1 8.3 9.2 7.9 7.2 7.6 8.9 8.7 5.9

8.7

Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 80 mmHg and a standard deviation of 11 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are at least 69 mmHg? Please do not round your answer.

84%

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.44. Using the empirical rule, what percentage of the students have grade point averages that are no more than 2.95? Please do not round your answer.

84%

Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 83 mmHg and a standard deviation of 11 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are greater than 61 mmHg? Please do not round your answer.

97.5%

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 1.23 and 3.81?

99.7%

Suppose that salaries for recent graduates of one university have a mean of $25,100 with a standard deviation of $1400. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $22,300 and $27,900? Round your answer to one decimal place.

At least 75%

Consider the following sets of sample data: A: $36,900, $19,400, $22,200, $21,900, $35,300, $20,500, $35,400, $24,000, $37,700, $35,300, $38,300, $29,600, $26,000, $38,400 B: 2.1, 5.0, 3.5, 3.7, 2.5, 2.1, 3.7, 4.6, 2.7, 4.1, 1.7 For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place. Which of the above sets of sample data has the smaller spread?

CV A: 24.6% CV B: 33.7% Data set A has a smaller spread.

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. Based on the given information, determine if the following statement is true or false: The 55th percentile is less than 25 hours.

False

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. Step 5 of 5: Based on the given information, determine if the following statement is true or false. The first quartile is less than 15 hours.

False

The following stem-and-leaf plot represents the prices in dollars of general admission tickets for the last 18 concerts at one venue. Use the data provided to find the quartiles. Ticket Prices in Dollars Stem Leaves 4 1 3 4 6 8 5 0 4 6 1 1 2 2 3 4 5 6 7 1 7 9 Key: 4|1=41

First Quartile=48, Second Quartile=61.5, Third Quartile=65

Amy is looking into investing a portion of her recent bonus into the stock market. While researching different companies, she discovers the following standard deviations of one year of daily stock closing prices. Garden Statues Express: Standard deviation of stock prices =$9.65 Masterful Pocketwatches: Standard deviation of stock prices =$1.05 Based on the data and assuming these trends continue, which company would give Amy a stable long-term investment?

Masterful Pocketwatches; the smaller standard deviation indicates that Masterful Pocketwatches has less variability in its closing prices than Garden Statues Express.

Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Rate of Fatal Alcohol Impaired Car Crashes per 100 Million Vehicle Miles of Travel 0.29 0.46 0.65 0.65 0.75 0.44 0.38 0.55 0.78 0.30 0.55 0.41 0.77 0.72 0.34 0.60 0.55 0.41 0.65 0.56

Mean =0.541, Median =0.550, Mode =0.65, 0.55

Consider the following data. 13,−2,−2,−2,13,13,−5

Mean=4, Median=-2, Bimodial=-2, 13

Consider the following data. 14,9,2,1,6,4

Mean=6, Median=5, Mode=None

For the following type of data set, would you be more interested in looking at the mean, median, or mode? State your reasoning. The salary of actors on TV

Median; the salary of actors are quantitative data with outliers.

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 13, 19, 13, 9, 13, 16, 7, 6, 15, 5

Range: 14 Population Variance: 19.44 Population Standard Deviation: 4.4

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 17,17,17,17,17,17,17,17,17,17

Range=0 Population Var=0 Pop Standard Dev=0

Calculate the sample standard deviation and sample variance for the following frequency distribution of final exam scores in a statistics class. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Final Exam Scores Class Frequency 51 - 60 6 61 - 70 11 71 - 80 6 81 - 90 11 91 - 100 4

Sample standard deviation=12.9 Sample variance=166.4

Consider the following data: 5,9,2,4,10,12

Sample variance= 15.2 Sample standard deviation=3.9 Range=10

Consider the following data: 5,−12,5,−12,5,−12,−7

Sample variance=74, sample standard deviation=8.6, range=17

A manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn is supposed to be 3.05 ounces with an allowable deviation of 0.02 ounces. The average weight of a bag of potato chips is supposed to be 5.07 ounces with an allowable deviation of 0.04 ounces. A factory worker randomly selects a bag of popcorn from the assembly line and it has a weight of 3.02 ounces. Then the worker randomly selects a bag of potato chips from the assembly line and it has a weight of 5.03 ounces. Which description closely matches the findings on the assembly line?

The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn bag assembly line.

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 84.5; this version has a mean of 66.9 and a standard deviation of 11. Kiersten got a score of 281.8; this version has a mean of 261 and a standard deviation of 26. Pierce got a score of 7.69; this version has a mean of 7.2 and a standard deviation of 0.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Tobias

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. Based on the given information, determine if the following statement is true or false. Approximately 100 families turned on their televisions for less than 26.2 hours.

True

Decide if the following statement is true or false. Explain why. It is possible to have a standard deviation of 435,000.

True; the standard deviation can be any value greater than or equal to zero.

A/An __________ measures the number of standard deviations that a particular value is away from the mean.

z-score

Consider a set of data in which the sample mean is 72.6 and the sample standard deviation is 3.9. Calculate the z-score given that x=73.3. Round your answer to two decimal places.

z-score=0.18

Given the following graph, where the mean is marked, which value best represents the z-score shown?

z=-2.39