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Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 50.3 40.0 44.9 28.0 40.7 32.5 30.5 34.2 60.1 23.1 21.3 11.1 42.8 36.9 28.0 LUSE SALT 28.8 18.0 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and $2. (Round your answers to four decimal places.) X₁ = % $1 = % x2 = % $2 = % (b) Let u be the population mean for x₁ and let ₂ be the population mean for x₂. Find an 80% confidence interval for #₁ - H₂. (Round your answers to two decimal places.) lower limit % upper limit % (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that technology companies receive a lower percent of foreign revenue. O Because the interval contains both positive and negative numbers, we can not say that technology companies receive a higher percent of foreign revenue. O Because the interval contains only positive numbers, we can say that technology companies receive a higher percent of foreign revenue. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and 2 are known. O Standard normal was used because ₁ and 2 are unknown. O Standard normal was used because ₁ and ₂ are known. O Student's t was used because ₁ and ₂ are unknown.

Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 50.3 40.0 44.9 28.0 40.7 32.5 30.5 34.2 60.1 23.1 21.3 11.1 42.8 36.9 28.0 LUSE SALT 28.8 18.0 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and $2. (Round your answers to four decimal places.) X₁ = % $1 = % x2 = % $2 = % (b) Let u be the population mean for x₁ and let ₂ be the population mean for x₂. Find an 80% confidence interval for #₁ - H₂. (Round your answers to two decimal places.) lower limit % upper limit % (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that technology companies receive a lower percent of foreign revenue. O Because the interval contains both positive and negative numbers, we can not say that technology companies receive a higher percent of foreign revenue. O Because the interval contains only positive numbers, we can say that technology companies receive a higher percent of foreign revenue. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and 2 are known. O Standard normal was used because ₁ and 2 are unknown. O Standard normal was used because ₁ and ₂ are known. O Student's t was used because ₁ and ₂ are unknown.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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44.9 Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 28.0 30.5 34.2 50.3 11.1 28.8 40.7 60.1 23.1 21.3 42.8 18.0 32.5 28.0 USE SALT 40.0 36.9 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and s2. (Round your answers to four decimal places.) % X1 = % S1 = % x₂ = % $2 S₂ = (b) Let be the population mean for x₁ and let u₂ be the population mean for x₂. Find an 80% confidence interval for ₁-₂. (Round your answers to two decimal places.) lower limit % upper limit % (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that technology companies receive a lower percent of foreign revenue. O Because the interval contains both positive and negative numbers, we can not say that technology companies receive a higher percent of foreign revenue. O Because the interval contains only positive numbers, we can say that technology companies receive a higher percent of foreign revenue. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and 2 are known. O O Standard normal was used because ₁ and ₂ are unknown. O Standard normal was used because ₁ and 2 are known. Student's t was used because ₁ and ₂ are unknown.
Transcribed Image Text:44.9 Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 28.0 30.5 34.2 50.3 11.1 28.8 40.7 60.1 23.1 21.3 42.8 18.0 32.5 28.0 USE SALT 40.0 36.9 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and s2. (Round your answers to four decimal places.) % X1 = % S1 = % x₂ = % $2 S₂ = (b) Let be the population mean for x₁ and let u₂ be the population mean for x₂. Find an 80% confidence interval for ₁-₂. (Round your answers to two decimal places.) lower limit % upper limit % (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that technology companies receive a lower percent of foreign revenue. O Because the interval contains both positive and negative numbers, we can not say that technology companies receive a higher percent of foreign revenue. O Because the interval contains only positive numbers, we can say that technology companies receive a higher percent of foreign revenue. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and 2 are known. O O Standard normal was used because ₁ and ₂ are unknown. O Standard normal was used because ₁ and 2 are known. Student's t was used because ₁ and ₂ are unknown.
For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following information.t Technology companies, % foreign revenue: x₁; n₁ = 16 62.8 55.7 47.0 59.6 55.3 65.1 53.4 50.8 48.5 44.6 49.4 61.2 39.3 41.0 Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information. Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 44.9 28.0 30.5 34.2 40.7 60.1 23.1 32.5 50.3 11.1 28.8 21.3 42.8 18.0 28.0 USE SALT 40.0 36.9 51.1 41.8 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate X₁, S₁, X2, and s₂. (Round your answers to four decimal places.) X1 = % S₁ = % x₂ = % % S₂ = (b) Let ₁ be the population mean for x₁ and let ₂ be the population mean for x₂. Find an 80% confidence interval for ₁-2. (Round your answers to two decimal places.) lower limit % upper limit % (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that technology companies receive a lower percent of foreign revenue. O Because the interval contains both positive and negative numbers, we can not say that technology companies receive a higher percent of foreign revenue. O Because the interval contains only positive numbers, we can say that technology companies receive a higher percent of foreign revenue. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and ₂ are known.
Transcribed Image Text:For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following information.t Technology companies, % foreign revenue: x₁; n₁ = 16 62.8 55.7 47.0 59.6 55.3 65.1 53.4 50.8 48.5 44.6 49.4 61.2 39.3 41.0 Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information. Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 44.9 28.0 30.5 34.2 40.7 60.1 23.1 32.5 50.3 11.1 28.8 21.3 42.8 18.0 28.0 USE SALT 40.0 36.9 51.1 41.8 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate X₁, S₁, X2, and s₂. (Round your answers to four decimal places.) X1 = % S₁ = % x₂ = % % S₂ = (b) Let ₁ be the population mean for x₁ and let ₂ be the population mean for x₂. Find an 80% confidence interval for ₁-2. (Round your answers to two decimal places.) lower limit % upper limit % (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of confidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies? O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that technology companies receive a lower percent of foreign revenue. O Because the interval contains both positive and negative numbers, we can not say that technology companies receive a higher percent of foreign revenue. O Because the interval contains only positive numbers, we can say that technology companies receive a higher percent of foreign revenue. (d) Which distribution (standard normal or Student's t) did you use? Why? O Student's t was used because ₁ and ₂ are known.
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