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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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Basic Consumer Product Companies, % Foreign Revenue: \(x_1\), \(n_2 = 17\)** - 28.0, 30.5, 34.2, 50.3, 11.1, 28.8, 40.0, 44.9 - 40.7, 60.1, 23.1, 21.3, 42.8, 18.0, 36.9, 28.0 - 32.5 **Instructions:** 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 \( \bar{x}_1 \), \( s_1 \), \( \bar{x}_2 \), and \( s_2 \). (Round your answers to four decimal places.) - \( \bar{x}_1 = \) _____ % - \( s_1 = \) _____ % - \( \bar{x}_2 = \) _____ % - \( s_2 = \) _____ % **(b)** Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x_2 \). Find an 80% confidence interval for \( \mu_1 - \mu_2 \). (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 \( \
Transcribed Image Text:**Basic Consumer Product Companies, % Foreign Revenue: \(x_1\), \(n_2 = 17\)** - 28.0, 30.5, 34.2, 50.3, 11.1, 28.8, 40.0, 44.9 - 40.7, 60.1, 23.1, 21.3, 42.8, 18.0, 36.9, 28.0 - 32.5 **Instructions:** 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 \( \bar{x}_1 \), \( s_1 \), \( \bar{x}_2 \), and \( s_2 \). (Round your answers to four decimal places.) - \( \bar{x}_1 = \) _____ % - \( s_1 = \) _____ % - \( \bar{x}_2 = \) _____ % - \( s_2 = \) _____ % **(b)** Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x_2 \). Find an 80% confidence interval for \( \mu_1 - \mu_2 \). (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 \( \
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: **Technology companies, % foreign revenue: \( x_1 \), \( n_1 = 16 \)** - Data points: 62.8, 55.7, 47.0, 59.6, 55.3, 41.0, 65.1, 51.1, 53.4, 50.8, 48.5, 44.6, 49.4, 61.2, 39.3, 41.8 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: \( x_2 \), \( n_2 = 17 \)** - Data points: 28.0, 30.5, 34.2, 50.3, 11.1, 28.8, 40.0, 44.9, 40.7, 60.1, 23.1, 21.3, 42.8, 18.0, 36.9, 28.0, 32.5 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 \( \overline{x}_1 \), \( s_1 \), \( \overline{x}_2 \), and \( s_2 \). (Round your answers to four decimal places.) - \( \overline{x}_1 = \) % - \( s_1 = \) % - \( \overline{x}_2 = \) % - \( s_2 = \) % (b) Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x_2 \). Find an 80% confidence interval for \( \mu_1 - \mu_2 \). (Round your answers to two decimal places.) - Lower limit: [ ] - Upper limit: [ ] (c) Examine the confidence interval
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: **Technology companies, % foreign revenue: \( x_1 \), \( n_1 = 16 \)** - Data points: 62.8, 55.7, 47.0, 59.6, 55.3, 41.0, 65.1, 51.1, 53.4, 50.8, 48.5, 44.6, 49.4, 61.2, 39.3, 41.8 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: \( x_2 \), \( n_2 = 17 \)** - Data points: 28.0, 30.5, 34.2, 50.3, 11.1, 28.8, 40.0, 44.9, 40.7, 60.1, 23.1, 21.3, 42.8, 18.0, 36.9, 28.0, 32.5 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 \( \overline{x}_1 \), \( s_1 \), \( \overline{x}_2 \), and \( s_2 \). (Round your answers to four decimal places.) - \( \overline{x}_1 = \) % - \( s_1 = \) % - \( \overline{x}_2 = \) % - \( s_2 = \) % (b) Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x_2 \). Find an 80% confidence interval for \( \mu_1 - \mu_2 \). (Round your answers to two decimal places.) - Lower limit: [ ] - Upper limit: [ ] (c) Examine the confidence interval
Expert Solution
Step 1: Write the given information.
Technology companies(% Revenue)Basic consumer product companies(% Revenue)
62.828
55.730.5
4734.2
59.650.3
55.311.1
4128.8
65.140
51.144.9
53.440.7
50.860.1
48.523.1
44.621.3
49.442.8
61.218
39.336.9
41.828

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