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