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A professor at a local university conducted a survey of 123 businesses in a city to determine what motivates small businesses to export their products. The CEOS were asked to respond to the statement "Management believes that the business can achieve economies of scale by exporting" on a scale of 1 (strongly disagree) to 5 (strongly agree). Summary statistics for the n= 123 scale scores were reported as x= 3.81 and s = 1.6. In his study, the professor hypothesized that if the true mean scale score exceeds 3.5, then CEOS at all businesses in the city generally agree with the statement. Complete parts a through c below. a. Conduct the appropriate test using a = 0.10. State your conclusion in the words of the problem. State the null and alternative hypotheses. в. Н: и3.5 O A. Ho: H= 3.5 HiH#3.5 H: u> 3.5 O Hρ μ= 3.5 H:H<3.5 O D. Ho: H#3.5 Hiµ= 3.5 Calculate the value of the test statistic. z= 2.15 (Round to two decimal places as needed.) Use technology to calculate the p-value. p-value = (Round to three decimal places as needed.)

A professor at a local university conducted a survey of 123 businesses in a city to determine what motivates small businesses to export their products. The CEOS were asked to respond to the statement "Management believes that the business can achieve economies of scale by exporting" on a scale of 1 (strongly disagree) to 5 (strongly agree). Summary statistics for the n= 123 scale scores were reported as x= 3.81 and s = 1.6. In his study, the professor hypothesized that if the true mean scale score exceeds 3.5, then CEOS at all businesses in the city generally agree with the statement. Complete parts a through c below. a. Conduct the appropriate test using a = 0.10. State your conclusion in the words of the problem. State the null and alternative hypotheses. в. Н: и3.5 O A. Ho: H= 3.5 HiH#3.5 H: u> 3.5 O Hρ μ= 3.5 H:H<3.5 O D. Ho: H#3.5 Hiµ= 3.5 Calculate the value of the test statistic. z= 2.15 (Round to two decimal places as needed.) Use technology to calculate the p-value. p-value = (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A professor at a local university conducted a survey of 123 businesses in a city to determine what motivates small businesses to export their products. The CEOS were asked to respond to the statement "Management believes that the business can achieve economies of scale by exporting" on a scale of 1 (strongly disagree) to 5 (strongly agree). Summary statistics for the n = 123 scale scores were reported as x = 3.81 and s = 1.6. In his study, the professor hypothesized that if the true mean scale score exceeds 3.5, then CEOS at all businesses in the city generally agree with the statement. Complete parts a through c below. a. Conduct the appropriate test using a = 0.10. State your conclusion in the words of the problem. State the null and alternative hypotheses. Ο Α. H0 : μ = 3.5 B. Ho: μΞ 3.5 Ha: H#3.5 Hai H> 3.5 O C. Ho: H= 3.5 D. Ho: H#3.5 Ha:u= 3.5 Ha:u<3.5 Calculate the value of the test statistic. z= 2.15 (Round to two decimal places as needed.) Use technology to calculate the p-value. p-value = (Round to three decimal places as needed.) %3D View an example Textbook Statcrunch Clear all Check answer
Transcribed Image Text:A professor at a local university conducted a survey of 123 businesses in a city to determine what motivates small businesses to export their products. The CEOS were asked to respond to the statement "Management believes that the business can achieve economies of scale by exporting" on a scale of 1 (strongly disagree) to 5 (strongly agree). Summary statistics for the n = 123 scale scores were reported as x = 3.81 and s = 1.6. In his study, the professor hypothesized that if the true mean scale score exceeds 3.5, then CEOS at all businesses in the city generally agree with the statement. Complete parts a through c below. a. Conduct the appropriate test using a = 0.10. State your conclusion in the words of the problem. State the null and alternative hypotheses. Ο Α. H0 : μ = 3.5 B. Ho: μΞ 3.5 Ha: H#3.5 Hai H> 3.5 O C. Ho: H= 3.5 D. Ho: H#3.5 Ha:u= 3.5 Ha:u<3.5 Calculate the value of the test statistic. z= 2.15 (Round to two decimal places as needed.) Use technology to calculate the p-value. p-value = (Round to three decimal places as needed.) %3D View an example Textbook Statcrunch Clear all Check answer
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