A random sample of small-business managers was given a leadership style questionnaire. The results were scaled so that each manager received a score for initiative. Suppose the following data are a random sample of these scores. 36 42 41  39 38 31 41  36 35 45 30 33 35 44 36 36 39 33 39 41  41 33 35 36 41 33 36 38 41  42 44 35 36 33 38 32 30 36 42       Assuming σ is 3.891, use these data to construct a 90% confidence interval to estimate the average score on initiative for all small-business managers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A random sample of small-business managers was given a leadership style questionnaire. The results were scaled so that each manager received a score for initiative. Suppose the following data are a random sample of these scores.

36 42 41  39 38 31 41 
36 35 45 30 33 35 44
36 36 39 33 39 41  41
33 35 36 41 33 36 38
41  42 44 35 36 33 38
32 30 36 42      


Assuming σ is 3.891, use these data to construct a 90% confidence interval to estimate the average score on initiative for all small-business managers.

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