Question

In: Statistics and Probability

The grade point averages for 11 randomly selected students are listed below. Assume the data are...

The grade point averages for 11 randomly selected students are listed below. Assume the data are normally distributed.

2.0 3.2 1.8 2.9 0.9 4.0 3.3 2.9 3.6 0.8 2.7

Construct a 99% confidence interval for the population standard deviation

Solutions

Expert Solution

From sample data,

= 2.55 , S = 1.0539

chi-square critical value at 0.01 significance level with 10 df = 2.156 , 25.188

99% confidence interval for is

Sqrt [ ( n - 1) S2 / U ] < < Sqrt [ ( n - 1) S2 / L]

sqrt [ 10 * 1.05392 / 25.188 ] <   < sqrt [ 10 * 1.05392 / 2.156 ]

0.664 < < 2.211

99% CI is ( 0.664 , 2.211 )

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The grade averages for 10 randomly selected junior college students are listed below. Assume the grade...
The grade averages for 10 randomly selected junior college students are listed below. Assume the grade averages are normally distributed. Find a 98% confidence interval for the true mean. 78 80 83 48 76 72 94 75 91 65
The grade point averages for 10 randomly selected students are listed below. Construct a 95% confidence...
The grade point averages for 10 randomly selected students are listed below. Construct a 95% confidence interval for the population variance and for the standard deviation. Write an interpretive sentence for the standard deviation. Assume the data are normally distributed. 2.3 4.0 3.1 1.8 3.3 2.5 0.5 3.8 2.3 2.7
The grade point averages​ (GPA) for 12 randomly selected college students are shown on the right....
The grade point averages​ (GPA) for 12 randomly selected college students are shown on the right. Complete parts​ (a) through​ (c) below. Assume the population is normally distributed. 2.2 3.4 2.9 1.8 0.8 4.0 2.4 1.3 3.9 0.5 2.4 3.3 ​ (a) Find the sample mean. x = _____ ​(Round to two decimal places as​ needed.) ​ (b) Find the sample standard deviation. s= ______ (Round to two decimal places as​ needed.) ​(c) Construct a 95​% confidence interval for the...
The grade point averages (GPA) of 18 randomly selected college students are used to estimate the...
The grade point averages (GPA) of 18 randomly selected college students are used to estimate the mean GPA of the college students. The GPAs from the sample are as follows: 2.3       3.3       2.6       1.8 0.2 3.1       4.0       0.7 3.1 2.3       2.0       3.1       3.4       1.3       2.6       2.6 3.7 2.2 (5 points) Is it justified to use of the standard normal distribution to construct the confidence interval? Explain. (10 points) If the population is assumed to be normally distributed, construct a 98% confidence interval for the population mean GPA. Show your work in...
Below are the grade point averages for 24 randomly chosen university business students during a recent...
Below are the grade point averages for 24 randomly chosen university business students during a recent semester. a) Is there sufficient evidence to indicate that the variances for the four classifications of students are not the same? Assume alpha is 0.05. b) What is the p-value for this problem? Explain its meaning in words. c) Is there sufficient evidence to indicate that the means for the four classifications of students are not the same? Use alpha = 0.05. d) If...
Sample grade point averages for ten male students and ten female students are listed. Find the...
Sample grade point averages for ten male students and ten female students are listed. Find the coefficient of variation for each of the two data sets. Then compare the results. Males 2.6 3.8 3.9 3.8 2.7 2.6 3.4 3.5 3.8 1.8 Females 2.7 3.9 2.2 3.8 3.5 4.1 2.1 3.8 3.9 2.5 The coefficient of variation for males is nothing​%. ​(Round to one decimal place as​ needed.)
Sample grade point averages for ten male students and ten female students are listed. Find the...
Sample grade point averages for ten male students and ten female students are listed. Find the coefficient of variation for each of the two data sets. Then compare the results Males 2.5 3.8 3.6 3.9 2.6 2.6 3.6 3.2 3.9 1.8 Females 2.8 3.5 2.1 3.7 3.5 4.1 2.1 3.9 3.9 2.3 The coefficient of variation for males is ​__%. The Coefficient of variation for females Is __ %
The following data are the monthly salaries y and the grade point averages x for students...
The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration. GPA Monthly Salary ($) 2.7 3,600 3.5 3,800 3.6 4,200 3.2 3,700 3.4 4,200 2.8 2,400 The estimated regression equation for these data is y^ = -464.3 + 1285.7x and MSE = 259,464 a. Develop a point estimate of the starting salary for a student with a GPA of 3.0 (to 1 decimal).    b. Develop...
The following data are the monthly salaries y and the grade point averages x for students...
The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration. GPA Monthly Salary ($) 2.6 3,600 3.5 3,800 3.6 4,300 3.2 3,700 3.5 4,100 2.8 2,400 The estimated regression equation for these data is  = 40.7 + 1,127.9x and MSE =280,233. a. Develop a point estimate of the starting salary for a student with a GPA of 3.0 (to 1 decimal). $ b. Develop a 95% confidence...
The following data are the monthly salaries y and the grade point averages x for students...
The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration. GPA Monthly Salary ($) 2.6 3,600 3.4 3,800 3.6 4,300 3.2 3,700 3.4 4,100 3 2,400 The estimated regression equation for these data is y= 350 + 1031.3x and MSE = 383594. Use Table 1 of Appendix B. a. Develop a point estimate of the starting salary for a student with a GPA of 3.0 (to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT