Question

In: Statistics and Probability

The following data represent exam scores in a statistics class taught using traditional lecture and a...

The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a​ "flipped" classroom. Complete parts​ (a) through​ (c) below.

Traditional

71.071.0

69.969.9

80.580.5

67.567.5

84.384.3

77.677.6

57.057.0

82.582.5

81.281.2

70.970.9

64.364.3

70.370.3

60.160.1

Flipped

76.776.7

71.771.7

64.064.0

72.672.6

77.577.5

90.990.9

79.879.8

77.277.2

81.681.6

69.269.2

92.592.5

77.777.7

75.775.7

​(a) Which course has more dispersion in exam scores using the range as the measure of​ dispersion?

The traditional course has a range of ,while the​ "flipped" course has a range of    The course has more dispersion.

​(Type integers or decimals. Do not​ round.)

​(b) Which course has more dispersion in exam scores using the sample standard deviation as the measure of​ dispersion?

The traditional course has a standard deviation of ,while the​ "flipped" course has a standard deviation of .The course has more dispersion.

​(Round to three decimal places as​ needed.)

​(c) Suppose the score of in the traditional course was incorrectly recorded as .How does this affect the​ range?

The range is now   

​(Type an integer or a decimal. Do not​ round.)

How does this affect the standard​ deviation?

The standard deviation is now

​(Round to three decimal places as​ needed.)

What property does this​ illustrate?

A. Both the range and the standard deviation are resistant.

B. The standard deviation is​ resistant, but the range is not resistant.

C. Neither the range nor the standard deviation is resistant.

D. The range is​ resistant, but the standard deviation is not resistant.

Solutions

Expert Solution

We are calculating Range and standard deviation using Excel and the function for the same are shown in the attached photoa)The traditional course has a range of 27.3273 ,while the​ "flipped" course has a range of 28.5285 . The Flipped course has more dispersion.

b)The traditional course has a standard deviation of 8.695 ,while the​"flipped" course has a standard deviation of 7.858 .The traditional course has more dispersion.

c) This part is incomplete as the values are not given.When you get the values,simply change those value in excel and use the same function as in part a) and b) and you will get the desired result.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The following data represent exam scores in a statistics class taught using traditional lecture and a...
The following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a​ "flipped" classroom. Complete parts​ (a) through​ (c) below. Traditional 71.7 69.2 78.7 68.1 84.1 78.5 56.9 81.0 82.0 72.3 63.7 69.0 60.5 Flipped 76.8 72.0 64.0 73.0 78.8 92.5 79.2 77.4 81.8 71.2 91.4 78.5 75.9 ​(a) Which course has more dispersion in exam scores using the range as the measure of​ dispersion? The traditional course has a range of...
he following data represent exam scores in a statistics class taught using traditional lecture and a...
he following data represent exam scores in a statistics class taught using traditional lecture and a class taught using a​ "flipped" classroom. Complete parts​ (a) through​ (c) below. Traditional 71.471.4 69.169.1 80.480.4 68.368.3 85.385.3 79.379.3 56.656.6 81.681.6 80.180.1 71.571.5 63.163.1 69.169.1 59.959.9 Flipped 77.077.0 70.970.9 62.662.6 71.471.4 77.577.5 91.891.8 79.979.9 77.277.2 81.681.6 69.269.2 92.692.6 77.877.8 76.476.4 ​(a) Which course has more dispersion in exam scores using the range as the measure of​ dispersion? The traditional course has a range of...
The following are final exam scores for 30 students in an elementary statistics class.
The following are final exam scores for 30 students in an elementary statistics class. 91            59            82            91            79            76            90            69            77            83 59            88            95            72            88            81            77            52            80            96 62            97            76            75            75            89            61            72            90            85 a.              Find the quartiles for this data______________________________. b.             What is the Interquartile Range (IQR)_________________________? c.              What percent of students got at least a 72 on their final exam______________? d.              Build a boxplot using the graphing calculator.
A sample of 10 students record their scores on the final exam for their statistics class....
A sample of 10 students record their scores on the final exam for their statistics class. The mean of the sample is 81 with sample standard deviation 7 points. Analysis of the 10 sample values indicated that the population is approximately normal. We wish to find the 95% confidence interval for the population mean test scores. 1. What is the confidence level, c? 2. Which of the following is correct? a. To find the confidence interval, a z-critical value should...
Two sections of a class in statistics were taught by two different methods. Students’ scores on...
Two sections of a class in statistics were taught by two different methods. Students’ scores on a standardized test are shown in Table 5.12 . Do the results present evidence of a difference in the effectiveness of the two methods? (Use α = 0.05.) Class A: 74, 97, 79, 88, 78, 93, 76, 75, 82, 86, 100, 94 Class B: 78, 92, 94, 78, 71, 85, 70, 79, 76, 93, 82, 69, 84 Include R code.
The final exam scores in a statistics class were normally distributed with a mean of 70...
The final exam scores in a statistics class were normally distributed with a mean of 70 and a standard deviation of five. What is the probability that a student scored less than 55% on the exam?
Exam grades: Scores on a statistics final in a large class were normally distributed with a...
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 70 and a standard deviation of 10. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 42nd percentile of the scores. (b) Find the 71st percentile of the scores. (c) The instructor wants to give an A to the students whose scores were in the top 10% of the class. What...
The following data represent the final exam scores of 18 male students and 18 female students....
The following data represent the final exam scores of 18 male students and 18 female students. Male: 68, 68, 72, 73, 65, 74, 73, 72, 68, 65, 73, 66, 71, 68, 74, 66, 71, 65 Female: 59, 75, 70, 56, 66, 75, 68, 75, 62, 60, 73, 61, 75, 74, 58, 60, 73, 58 Is there any significant difference between the average exam scores of male and female students? Explain your answer using both confidence interval method and hypothesis test...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of students. The first group of = 6 students were under active-learning course, and the second group of = 6 students were under traditional lecturing. Note that the standard deviations in the Active group is = 3.43 and in the Traditional group is = 3.03. Active learning Traditional learning 0 7 5 0 7 8 8 2 0 4 3 3 Please answer the following...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of...
Exercise 3 The data in the table represent the "Exam Scores" for two random samples of students. The first group of n1 = 6 students were under active-learning course, and the second group of n2 = 6 students were under traditional lecturing. Note that the standard deviations in the Active group is s1= 3.43 and in the Traditional group is s2 = 3.03. Active learning Traditional learning 0 7 5 0 7 8 8 2 0 4 3 3 Please...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT